Edge-colouring of regular graphs of large degree

نویسندگان

  • Caterina De Simone
  • Anna Galluccio
چکیده

We consider the following conjecture: Let G be a k-regular simple graph with an even number n of vertices. If k ≥ n/2 then 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. c © 2007 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 389  شماره 

صفحات  -

تاریخ انتشار 2007