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» The Distinguishing Chromatic Number
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71
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DCG
2008
79views more  DCG 2008»
15 years 23 days ago
Automorphisms and Distinguishing Numbers of Geometric Cliques
Michael O. Albertson, Debra L. Boutin
86
Voted
SIAMDM
2008
154views more  SIAMDM 2008»
15 years 19 days 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...
108
Voted
JGT
2006
98views more  JGT 2006»
15 years 20 days 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
CPC
2004
136views more  CPC 2004»
15 years 16 days ago
On the Strong Chromatic Number
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
Penny E. Haxell
189
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MLQ
2011
14 years 7 months ago
Weak Borel chromatic numbers
Given a graph G whose set of vertices is a Polish space X, the weak Borel chromatic number of G is the least size of a family of pairwise disjoint G-independent Borel sets that cov...
Stefan Geschke