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By Alexander Schrijver

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

Example text

3 Chordal graphs . . . . . . . . . . . . . . . . . . . . 3a Chordal graphs as intersection graphs of subtrees of a tree . . . . . . . . . . . . . . . . . . . . . 4 Meyniel graphs . . . . . . . . . . . . . . . . . . . . 5 Further results and notes . . . . . . . . . . . . . . . 5a Strongly perfect graphs . . . . . . . . . . . . . 5b Perfectly orderable graphs . . . . . . . . . . . . 5c Unimodular graphs .

3e Minimum-cost maximum-value multiflows . . . . . 3f Further notes . . . . . . . . . . . . . . . . . 1279 1279 74 Planar graphs . . . . . . . . . . . . . . . . . . . . . . 1 All nets spanned by one face: the Okamura-Seymour theorem . . . . . . . . . . . . . . . . . . . . . . . 1a Complexity survey . . . . . . . . . . . . . . . 1b Graphs on the projective plane . . . . . . . . . . 1c If only inner vertices satisfy the Euler condition .

1375 1375 1376 1376 1376 1377 1377 1378 1378 1379 1379 1380 1381 1383 1383 1384 1386 78 Ideal hypergraphs . . . . . . . . . . . . . . . . . . . . 1 Ideal hypergraphs . . . . . . . . . . . . . . . . . . . 2 Characterizations of ideal hypergraphs . . . . . . . . . 3 Minimally nonideal hypergraphs . . . . . . . . . . . . 4 Properties of minimally nonideal hypergraphs: Lehman’s theorem . . . . . . . . . . . . . . . . . .

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