38 search results - page 2 / 8 » Acyclic vertex coloring of graphs of maximum degree 5 |
ESA
2008
Springer
13 years 7 months ago
2008
Springer
We consider two generalizations of the edge coloring problem in bipartite graphs. The first problem we consider is the weighted bipartite edge coloring problem where we are given a...
COMBINATORICA
2006
13 years 5 months ago
2006
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
Let mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if 4 and mad(G) < 14 5 , then i(G...
ALGORITHMICA
2008
13 years 5 months ago
2008
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
ICALP
2011
Springer
12 years 8 months ago
2011
Springer
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...