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Titlebook: Research Trends in Combinatorial Optimization; Bonn 2008 William Cook,László Lovász,Jens Vygen Book 2009 Springer-Verlag Berlin Heidelberg

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978-3-642-09547-4Springer-Verlag Berlin Heidelberg 2009
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https://doi.org/10.1007/978-3-540-76796-1Partition; algorithms; calculus; combinatorial optimization; combinatorics; complexity; discrete mathemati
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,Linear Time Approximation Algorithms for Degree Constrained Subgraph Problems,mples include problems in VLSI-design or problems in bioinformatics. For such problems the question arises: What is the best solution that can be obtained in linear time? We survey linear time approximation algorithms for some classical problems from combinatorial optimization, e.g. matchings and branchings.
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Euler Complexes,We present a class of instances of the existence of a second object of a specified type, in fact, of an even number of objects of a specified type, which generalizes the existence of an equilibrium for bimatrix games. The proof is an abstract generalization of the Lemke–Howson algorithm for finding an equilibrium of a bimatrix game.
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