Degree constrained subgraphs |
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Authors: | L Addario-Berry K Dalal BA Reed |
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Institution: | School of Computer Science, McGill University, University St. Montreal, Que., Canada H3A 2A7 |
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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 version of Louigi's Conjecture. |
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Keywords: | Vertex colouring Edge weighting Degree constrained subgraphs |
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