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78f44a0ad9
pdf-to-markdown/examples/dict/removeRepetitiveItems.json
Johannes Zillmann 55ae236928 Improve header detection 
- fix tests
- still run header detection based on heights even if TOC headlines have been identified
2024-03-28 11:39:34 -06:00

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{"page":80,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 5.2. Cardinality matching algorithm 81","line":0,"x":100.35,"y":738.022,"width":"238.33","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
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{"page":84,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 5.3. Weighted matching algorithm 85","line":0,"x":100.35,"y":738.022,"width":"228.25","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":85,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"86 Chapter 5. Nonbipartite matching","line":0,"x":72,"y":738.022,"width":"187.61","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":85,"change":"Removal","score":"1.00: (0.00 + 1.00)","str":"∑","dir":"ltr","width":"17.27","height":"11.96","transform":["11.96","0.00","0.00","11.96","213.16","711.91"],"fontName":"TICOHQ+CMEX10","x":213.15585,"y":711.913,"line":2}
{"page":86,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 5.3. Weighted matching algorithm 87","line":0,"x":100.35,"y":738.022,"width":"228.25","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
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{"page":88,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 5.3. Weighted matching algorithm 89","line":0,"x":100.35,"y":738.022,"width":"228.25","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":89,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"90 Chapter 5. Nonbipartite matching","line":0,"x":72,"y":738.022,"width":"187.61","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":90,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 5.4. The matching polytope 91","line":0,"x":100.35,"y":738.022,"width":"195.73","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":91,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"92 Chapter 5. Nonbipartite matching","line":0,"x":72,"y":738.022,"width":"187.61","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":92,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 5.4. The matching polytope 93","line":0,"x":100.35,"y":738.022,"width":"195.73","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":93,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"94 Chapter 5. Nonbipartite matching","line":0,"x":72,"y":738.022,"width":"187.61","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":94,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 5.5. The Cunningham-Marsh formula 95","line":0,"x":100.35,"y":738.022,"width":"244.90","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":95,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"96 Chapter 5. Nonbipartite matching","line":0,"x":72,"y":738.022,"width":"187.61","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":96,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"97","dir":"ltr","width":"11.70","height":"11.96","transform":["11.96","0.00","0.00","11.96","520.64","738.02"],"fontName":"LERRTL+CMR12","x":520.641,"y":738.022,"line":0}
{"page":97,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"98 Chapter 6. Problems, algorithms, and running time","line":0,"x":72,"y":738.022,"width":"276.68","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":98,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 6.2. Words 99","line":0,"x":100.35,"y":738.022,"width":"108.66","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":99,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"100 Chapter 6. Problems, algorithms, and running time","line":0,"x":72,"y":738.022,"width":"282.53","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":100,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 6.5. The class NP 101","line":0,"x":100.35,"y":738.022,"width":"150.17","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":101,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"102 Chapter 6. Problems, algorithms, and running time","line":0,"x":72,"y":738.022,"width":"282.53","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":102,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 6.7. NP-completeness 103","line":0,"x":100.35,"y":738.022,"width":"169.04","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":103,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"104 Chapter 6. Problems, algorithms, and running time","line":0,"x":72,"y":738.022,"width":"282.53","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":104,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 6.8. NP-completeness of the satisfiability problem 105","line":0,"x":100.35,"y":738.022,"width":"313.86","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":105,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"106 Chapter 6. Problems, algorithms, and running time","line":0,"x":72,"y":738.022,"width":"282.53","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":106,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 6.9. NP-completeness of some other problems 107","line":0,"x":100.35,"y":738.022,"width":"292.41","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":107,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"108 Chapter 6. Problems, algorithms, and running time","line":0,"x":72,"y":738.022,"width":"282.53","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":108,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 6.10. Turing machines 109","line":0,"x":100.35,"y":738.022,"width":"172.39","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":109,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"110 Chapter 6. Problems, algorithms, and running time","line":0,"x":72,"y":738.022,"width":"282.53","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":110,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"111","dir":"ltr","width":"17.55","height":"11.96","transform":["11.96","0.00","0.00","11.96","514.79","738.02"],"fontName":"LERRTL+CMR12","x":514.791,"y":738.022,"line":0}
{"page":111,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"112 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":112,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.1. Introduction 113","line":0,"x":100.35,"y":738.022,"width":"145.99","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":113,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"114 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":114,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.2. Edge-colourings of bipartite graphs 115","line":0,"x":100.35,"y":738.022,"width":"262.03","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":115,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"116 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":116,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.2. Edge-colourings of bipartite graphs 117","line":0,"x":100.35,"y":738.022,"width":"262.03","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":117,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"118 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":118,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.2. Edge-colourings of bipartite graphs 119","line":0,"x":100.35,"y":738.022,"width":"262.03","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":119,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"120 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":120,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.3. Partially ordered sets 121","line":0,"x":100.35,"y":738.022,"width":"191.47","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":121,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"122 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":122,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.3. Partially ordered sets 123","line":0,"x":100.35,"y":738.022,"width":"191.47","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":123,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"124 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":124,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.4. Perfect graphs 125","line":0,"x":100.35,"y":738.022,"width":"155.65","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":125,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"126 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":126,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.4. Perfect graphs 127","line":0,"x":100.35,"y":738.022,"width":"155.65","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":127,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"128 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":128,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.5. Chordal graphs 129","line":0,"x":100.35,"y":738.022,"width":"160.69","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":129,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"130 Chapter 7. Cliques, stable sets, and colourings","line":0,"x":72,"y":738.022,"width":"256.21","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":130,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 7.5. Chordal graphs 131","line":0,"x":100.35,"y":738.022,"width":"160.69","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":131,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"132 Chapter 8. Integer linear programming and totally unimodul ar matrices","line":0,"x":72,"y":738.022,"width":"387.64","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":132,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 8.1. Integer linear programming 133","line":0,"x":100.35,"y":738.022,"width":"222.40","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":133,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"134 Chapter 8. Integer linear programming and totally unimodul ar matrices","line":0,"x":72,"y":738.022,"width":"387.64","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":134,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 8.2. Totally unimodular matrices 135","line":0,"x":100.35,"y":738.022,"width":"227.99","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":135,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"136 Chapter 8. Integer linear programming and totally unimodul ar matrices","line":0,"x":72,"y":738.022,"width":"387.64","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":136,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 8.2. Totally unimodular matrices 137","line":0,"x":100.35,"y":738.022,"width":"227.99","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":137,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"138 Chapter 8. Integer linear programming and totally unimodul ar matrices","line":0,"x":72,"y":738.022,"width":"387.64","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":138,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 8.3. Totally unimodular matrices from bipartite gr aphs 139","line":0,"x":100.35,"y":738.022,"width":"341.53","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":139,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"140 Chapter 8. Integer linear programming and totally unimodul ar matrices","line":0,"x":72,"y":738.022,"width":"387.64","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":140,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 8.3. Totally unimodular matrices from bipartite gr aphs 141","line":0,"x":100.35,"y":738.022,"width":"341.53","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":141,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"142 Chapter 8. Integer linear programming and totally unimodul ar matrices","line":0,"x":72,"y":738.022,"width":"387.64","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":142,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 8.4. Totally unimodular matrices from directed gra phs 143","line":0,"x":100.35,"y":738.022,"width":"338.29","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":143,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"144 Chapter 8. Integer linear programming and totally unimodul ar matrices","line":0,"x":72,"y":738.022,"width":"387.64","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":144,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 8.4. Totally unimodular matrices from directed gra phs 145","line":0,"x":100.35,"y":738.022,"width":"338.29","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":145,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"146 Chapter 8. Integer linear programming and totally unimodul ar matrices","line":0,"x":72,"y":738.022,"width":"387.64","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":146,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 8.4. Totally unimodular matrices from directed gra phs 147","line":0,"x":100.35,"y":738.022,"width":"338.29","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":147,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"148 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":148,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.1. Introduction 149","line":0,"x":100.35,"y":738.022,"width":"145.99","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":149,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"150 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":150,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.1. Introduction 151","line":0,"x":100.35,"y":738.022,"width":"145.99","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":151,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"152 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":152,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.2. Two commodities 153","line":0,"x":100.35,"y":738.022,"width":"172.39","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":153,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"154 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":154,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.2. Two commodities 155","line":0,"x":100.35,"y":738.022,"width":"172.39","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":155,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"156 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":156,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.3. Disjoint paths in acyclic directed graphs 157","line":0,"x":100.35,"y":738.022,"width":"288.44","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":157,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"158 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":158,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.4. Vertex-disjoint paths in planar graphs 159","line":0,"x":100.35,"y":738.022,"width":"276.89","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":159,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"160 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":160,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.4. Vertex-disjoint paths in planar graphs 161","line":0,"x":100.35,"y":738.022,"width":"276.89","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":161,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"162 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":162,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.4. Vertex-disjoint paths in planar graphs 163","line":0,"x":100.35,"y":738.022,"width":"276.89","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":163,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"164 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":164,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.5. Edge-disjoint paths in planar graphs 165","line":0,"x":100.35,"y":738.022,"width":"268.93","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":165,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"166 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":166,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.5. Edge-disjoint paths in planar graphs 167","line":0,"x":100.35,"y":738.022,"width":"268.93","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":167,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"168 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":168,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.6. A column generation technique for multicommod ity flows 169","line":0,"x":100.35,"y":738.022,"width":"376.25","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":169,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"170 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":169,"change":"Removal","score":"1.00: (0.00 + 1.00)","str":"∑","dir":"ltr","width":"17.27","height":"11.96","transform":["11.96","0.00","0.00","11.96","196.07","711.91"],"fontName":"TICOHQ+CMEX10","x":196.074,"y":711.913,"line":2}
{"page":170,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 9.6. A column generation technique for multicommod ity flows 171","line":0,"x":100.35,"y":738.022,"width":"376.25","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":171,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"172 Chapter 9. Multicommodity flows and disjoint paths","line":0,"x":72,"y":738.022,"width":"287.96","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":172,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"173","dir":"ltr","width":"17.55","height":"11.96","transform":["11.96","0.00","0.00","11.96","514.79","738.02"],"fontName":"LERRTL+CMR12","x":514.791,"y":738.022,"line":0}
{"page":173,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"174 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":174,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.1. Matroids and the greedy algorithm 175","line":0,"x":100.35,"y":738.022,"width":"267.33","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":175,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"176 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":176,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.2. Equivalent axioms for matroids 177","line":0,"x":100.35,"y":738.022,"width":"248.38","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":177,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"178 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":178,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.2. Equivalent axioms for matroids 179","line":0,"x":100.35,"y":738.022,"width":"248.38","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":179,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"180 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":180,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.3. Examples of matroids 181","line":0,"x":100.35,"y":738.022,"width":"199.28","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":181,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"182 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":182,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.4. Two technical lemmas 183","line":0,"x":100.35,"y":738.022,"width":"201.65","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":183,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"184 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":184,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.5. Matroid intersection 185","line":0,"x":100.35,"y":738.022,"width":"191.90","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":185,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"186 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":186,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.5. Matroid intersection 187","line":0,"x":100.35,"y":738.022,"width":"191.90","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":187,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"188 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":188,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.5. Matroid intersection 189","line":0,"x":100.35,"y":738.022,"width":"191.90","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":189,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"190 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":190,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.6. Weighted matroid intersection 191","line":0,"x":100.35,"y":738.022,"width":"242.62","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":191,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"192 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":192,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.6. Weighted matroid intersection 193","line":0,"x":100.35,"y":738.022,"width":"242.62","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":193,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"194 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":194,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.7. Matroids and polyhedra 195","line":0,"x":100.35,"y":738.022,"width":"211.08","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":195,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"196 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":196,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.7. Matroids and polyhedra 197","line":0,"x":100.35,"y":738.022,"width":"211.08","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":197,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"198 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":197,"change":"Removal","score":"1.00: (0.00 + 1.00)","str":"∑","dir":"ltr","width":"17.27","height":"11.96","transform":["11.96","0.00","0.00","11.96","259.60","711.91"],"fontName":"TICOHQ+CMEX10","x":259.59610999999995,"y":711.913,"line":2}
{"page":197,"change":"Removal","score":"1.00: (0.00 + 1.00)","str":"∑","dir":"ltr","width":"17.27","height":"11.96","transform":["11.96","0.00","0.00","11.96","346.52","711.91"],"fontName":"TICOHQ+CMEX10","x":346.517999,"y":711.9130000000001,"line":6}
{"page":198,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.7. Matroids and polyhedra 199","line":0,"x":100.35,"y":738.022,"width":"211.08","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":199,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"200 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":200,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.7. Matroids and polyhedra 201","line":0,"x":100.35,"y":738.022,"width":"211.08","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":201,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"202 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":202,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.7. Matroids and polyhedra 203","line":0,"x":100.35,"y":738.022,"width":"211.08","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":203,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"204 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":204,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.7. Matroids and polyhedra 205","line":0,"x":100.35,"y":738.022,"width":"211.08","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":205,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"206 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":206,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.7. Matroids and polyhedra 207","line":0,"x":100.35,"y":738.022,"width":"211.08","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":207,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"208 Chapter 10. Matroids","line":0,"x":72,"y":738.022,"width":"129.14","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":208,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Section 10.7. Matroids and polyhedra 209","line":0,"x":100.35,"y":738.022,"width":"211.08","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":209,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"210 Name index","line":0,"x":72,"y":738.022,"width":"78.68","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":210,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Name index 211","line":0,"x":100.35,"y":738.022,"width":"78.67","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":211,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"212 Subject index","line":0,"x":72,"y":738.022,"width":"87.79","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":212,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Subject index 213","line":0,"x":100.35,"y":738.022,"width":"87.79","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":213,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"214 Subject index","line":0,"x":72,"y":738.022,"width":"87.79","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":214,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Subject index 215","line":0,"x":100.35,"y":738.022,"width":"87.79","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":215,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"216 Subject index","line":0,"x":72,"y":738.022,"width":"87.79","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":216,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Subject index 217","line":0,"x":100.35,"y":738.022,"width":"87.79","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":217,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"218 Subject index","line":0,"x":72,"y":738.022,"width":"87.79","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":218,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Subject index 219","line":0,"x":100.35,"y":738.022,"width":"87.79","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
{"page":219,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"220 Subject index","line":0,"x":72,"y":738.022,"width":"87.79","height":"11.96","fontName":["LERRTL+CMR12","EHNRCF+CMSL12"],"dir":["ltr"]}
{"page":220,"change":"Removal","score":"1.43: (1.00 + 0.43)","str":"Subject index 221","line":0,"x":100.35,"y":738.022,"width":"87.79","height":"11.96","fontName":["EHNRCF+CMSL12","LERRTL+CMR12"],"dir":["ltr"]}
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