Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
436642 | Theoretical Computer Science | 2007 | 9 Pages |
Abstract
We consider the following conjecture:Let G be a k-regular simple graph with an even number n of vertices. If k≥n/2then G is k-edge-colourable.We show that this conjecture is true for graphs that are join of two graphs and we provide a polynomial time algorithm for finding a k-edge-colouring of these graphs.
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Computational Theory and Mathematics