Read e-book online Combinatorial Optimization: Polyhedra and Efficiency (3 PDF

By Alexander Schrijver

ISBN-10: 3540443894

ISBN-13: 9783540443896

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Additional info for Combinatorial Optimization: Polyhedra and Efficiency (3 volume, A,B, & C)

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2 Strongly t-perfect graphs . . . . . . . . . . . . . . . 3 Strong t-perfection of odd-K4 -free graphs . . . . . . . . 4 On characterizing t-perfection . . . . . . . . . . . . . 5 A combinatorial min-max relation . . . . . . . . . . . 6 Further results and notes . . . . . . . . . . . . . . . 6a The w-stable set polyhedron . . . . . . . . . . . 6b Bidirected graphs . . . . . . . . . . . . . . . . 6c Characterizing odd-K4 -free graphs by mixing stable sets and vertex covers .

1 Ideal hypergraphs . . . . . . . . . . . . . . . . . . . 2 Characterizations of ideal hypergraphs . . . . . . . . . 3 Minimally nonideal hypergraphs . . . . . . . . . . . . 4 Properties of minimally nonideal hypergraphs: Lehman’s theorem . . . . . . . . . . . . . . . . . . . . . . . 4a Application of Lehman’s theorem: Guenin’s theorem . . . . . . . . . . . . . . . . . . . . 4b Ideality is in co-NP .

4e Further notes . . . . . . . . . . . . . . . . . 1314 1316 1318 1318 1320 1320 1323 1325 75 Cuts, odd circuits, and multiflows . . . . . . . . . . . . 1 Weakly and strongly bipartite graphs . . . . . . . . . . 1a NP-completeness of maximum cut . . . . . . . . 1b Planar graphs . . . . . . . . . . . . . . . . . 2 Signed graphs . . . . . . . . . . . . . . . . . . . . 3 Weakly, evenly, and strongly bipartite signed graphs .

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Combinatorial Optimization: Polyhedra and Efficiency (3 volume, A,B, & C) by Alexander Schrijver


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