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» The Chromatic Number Of Graph Powers
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SIAMDM
2008
154views more  SIAMDM 2008»
13 years 7 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
JGT
2006
98views more  JGT 2006»
13 years 7 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
IPL
2006
153views more  IPL 2006»
13 years 7 months ago
Oriented vertex and arc colorings of outerplanar graphs
A homomorphism from an oriented graph G to an oriented graph H is an arc-preserving mapping from V (G) to V (H), that is (x)(y) is an arc in H whenever xy is an arc in G. The orie...
Alexandre Pinlou, Eric Sopena
JGT
2008
75views more  JGT 2008»
13 years 7 months ago
On two questions about circular choosability
Abstract. We answer two questions of Zhu on circular choosability of graphs. We show that the circular list chromatic number of an even cycle is equal to 2 and give an example of a...
Serguei Norine
DM
2000
150views more  DM 2000»
13 years 7 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West