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Degree constrained subgraphs
Authors:L Addario-Berry  K Dalal  BA Reed
Institution:School of Computer Science, McGill University, University St. Montreal, Que., Canada H3A 2A7
Abstract:In this paper, we present new structural results about the existence of a subgraph where the degrees of the vertices are pre-specified. Further, we use these results to prove a 16-edge-weighting version of a conjecture by Karoński, ?uczak and Thomason, an asymptotic 2-edge-weighting version of the same conjecture, and a View the MathML source version of Louigi's Conjecture.
Keywords:Vertex colouring  Edge weighting  Degree constrained subgraphs
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