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A sublinear bound on the chromatic index of multigraphs

โœ Scribed by Michael Plantholt


Book ID
108316317
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
894 KB
Volume
202
Category
Article
ISSN
0012-365X

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We show that coloring the edges of a multigraph G in a particular order often leads to improved upper bounds for the chromatic index ฯ‡ (G). Applying this to simple graphs, we significantly generalize recent conditions based on the core of G (i.e., the subgraph of G induced by the vertices of degree

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We improve an upper bound for the chromatic index of a multigraph due to Andersen and Gol'dberg. As a corollary w e deduce that if no t w o edges of multiplicity at least t w o in G are adjacent, then ,y'(G) s A ( G ) + 1. In addition w e generalize results concerning the structure of critical graph