Combinatorial Optimization: Polyhedra and Efficiency (3 by Alexander Schrijver

By Alexander Schrijver

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

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12 Relation between the cut condition and fractional cut packing . . . . . . . . . . . . . . . . . . . . . . . 12a Sufficiency of the cut condition sometimes implies an integer multiflow . . . . . . . . . . . . . . . 12b The cut condition and integer multiflows in directed graphs . . . . . . . . . . . . . . . . . . . . 13 Further results and notes . . . . . . . . . . . . . . . 13a Fixing the number of commodities in undirected graphs .

1 Mengerian hypergraphs . . . . . . . . . . . . . . . . 1a Examples of Mengerian hypergraphs . . . . . . . 2 Minimally non-Mengerian hypergraphs . . . . . . . . . 3 Further results and notes . . . . . . . . . . . . . . . 3a Packing hypergraphs . . . . . . . . . . . . . . 3b Restrictions instead of parallelizations . . . . . . . 3c Equivalences for k-matchings and k-vertex covers . . 3d A general technique . . . . . . . . .

3 Weakly, evenly, and strongly bipartite signed graphs . . . 4 Characterizing strongly bipartite signed graphs . . . . . . 5 Characterizing weakly and evenly bipartite signed graphs . 6 Applications to multiflows . . . . . . . . . . . . . . . 7 The cut cone and the cut polytope . . . . . . . . . . . 8 The maximum cut problem and semidefinite programming . 9 Further results and notes . . . . . . . . . . . . . . . 9a Cuts and stable sets .

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