✦ LIBER ✦

Acyclic edge-colorings of sparse graphs

✍ Scribed by Y. Caro; Y. Roditty

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 393 KB
Volume: 7
Category: Article
ISSN: 0893-9659
DOI: 10.1016/0893-9659(94)90055-8

No coin nor oath required. For personal study only.

✦ Synopsis

A k-forest is a forest in which the maximum degree is k. The k-arboricity denoted Ak(G) is the minimum number of k-forests whose union is the graph G. We show that if G is an m-degenerate graph of maximum degree A, then Ak(G) 5 [(A + (k -1) m -1)/k], k 2 2, and derive several consequences of this inequality.

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