The Reduced Genus of a Multigraph

  • Patrice Ossona de Mendez
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1563)


We define here the reduced genus of a multigraph as the minimum genus of a hypergraph having the same adjacencies with the same multiplicities. Through a study of embedded hypergraphs, we obtain new bounds on the coloring number, clique number and point arboricity of simple graphs of a given reduced genus. We present some new related problems on graph coloring and graph representation.


Planar Graph Chromatic Number Simple Graph Maximal Clique Graph Coloring 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Patrice Ossona de Mendez
    • 1
  1. 1.CNRS UMR 0017, E.H.E.S.S.ParisFrance

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