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Euler Complexes

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Research Trends in Combinatorial Optimization

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Summary

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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Authors and Affiliations

  1. Equipe Combinatoire et Optimisation, Université Pierre et Marie Curie (Paris 6), 4, place Jussieu, 75252, Paris Cedex 05, France

    Jack Edmonds

Authors
  1. Jack Edmonds
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Editors and Affiliations

  1. Industrial and Systems Engineering, Georgia Tech, 765 Ferst Drive, Atlanta, Georgia, 30332-0205, USA

    William Cook

  2. Institute of Mathematics, Eötvös Loránd University, Pázmány Péter sétány 1/C, H-1117, Budapest, Hungary

    László Lovász

  3. Research Institute for Discrete Mathematics, University of Bonn, Lennéstr. 2, 53113, Bonn, Germany

    Jens Vygen

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Edmonds, J. (2009). Euler Complexes. In: Cook, W., Lovász, L., Vygen, J. (eds) Research Trends in Combinatorial Optimization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76796-1_4

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