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» The Distinguishing Chromatic Number
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90
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JGT
2006
99views more  JGT 2006»
15 years 20 days ago
On the circular chromatic number of circular partitionable graphs
This paper studies the circular chromatic number of a class of circular partitionable graphs. We prove that an infinite family of circular partitionable graphs have
Arnaud Pêcher, Xuding Zhu
90
Voted
CORR
2010
Springer
92views Education» more  CORR 2010»
15 years 23 days ago
On Packing Colorings of Distance Graphs
The packing chromatic number (G) of a graph G is the least integer k for which there exists a mapping f from V (G) to {1, 2, . . ., k} such that any two vertices of color i
Olivier Togni
77
Voted
RSA
1998
105views more  RSA 1998»
15 years 10 days ago
The chromatic numbers of random hypergraphs
: For a pair of integers 1F␥-r, the ␥-chromatic number of an r-uniform Ž .hypergraph Hs V, E is the minimal k, for which there exists a partition of V into subsets < <T ...
Michael Krivelevich, Benny Sudakov
IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
15 years 7 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
116
Voted
ENDM
2007
91views more  ENDM 2007»
15 years 20 days ago
Game chromatic number of Cartesian product graphs
We find exact values for the game chromatic number of the Cartesian product graphs Sm Pn, Sm Cn, P2 Wn, and P2 Km,n. This extends previous results of Bartnicki et al. on the game...
Iztok Peterin