𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On acyclic colorings of graphs on surfaces

✍ Scribed by Noga Alon; Bojan Mohar; Daniel P. Sanders


Book ID
112886357
Publisher
The Hebrew University Magnes Press
Year
1996
Tongue
English
Weight
485 KB
Volume
94
Category
Article
ISSN
0021-2172

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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