Download Combinatorial optimization, polyhedra and efficiency. by Schrijver A. PDF

By Schrijver A.

An in-depth evaluate of polyhedral equipment and effective algorithms in combinatorial optimization. those tools shape a wide, coherent and strong kernel in combinatorial optimization, with robust hyperlinks to discrete arithmetic, mathematical programming and laptop technology. In 8 elements, quite a few parts are handled, each one beginning with an hassle-free advent to the world, with brief, dependent proofs of the valuable effects, and every evolving to the extra complicated tools and effects, with complete proofs of a few of the private theorems within the sector. Over 4000 references to additional examine are given, and ancient surveys at the uncomplicated topics are provided.

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Additional info for Combinatorial optimization, polyhedra and efficiency. Vol.A,B,C

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2 Weighted clique and colouring algorithmically . . . . . . 3 Strong polynomial-time solvability . . . . . . . . . . . 4 Further results and notes . . . . . . . . . . . . . . . 4a Further on ϑ(G) . . . . . . . . . . . . . . . . 4b The Shannon capacity Θ(G) . . . . . . . . . . . 4c Clique cover numbers of products of graphs . . . . 4d A sharper upper bound ϑ′ (G) on α(G) . . . . . . 4e An operator strengthening convex bodies .

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 . . . . . . . . . . . . . . . 5 Further results and notes . . . . . . . . . . . . . . . 5a Composition of clutters .

4b k-arc-connected orientations with bounds on degrees . . . . . . . . . . . . . . . . . . . . 4c Orientations of graphs with lower bounds on indegrees of sets . . . . . . . . . . . . . . . . 4d Further notes . . . . . . . . . . . . . . . . . 1046 1047 62 Network synthesis . . . . . . . . . . . . . . . . . . . . 1 Minimal k-(edge-)connected graphs . . . . . . . . . . . 2 The network synthesis problem .

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