Acyclic edge-colorings of sparse graphs
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Y. Caro; Y. Roditty
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Article
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1994
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Elsevier Science
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English
β 393 KB
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 in