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» The Alcuin Number of a Graph
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EJC
2008
13 years 8 months ago
On the adaptable chromatic number of graphs
The adaptable chromatic number of a graph G is the smallest integer k such that for any edge k-colouring of G there exists a vertex kcolouring of G in which the same colour never ...
Pavol Hell, Xuding Zhu
DM
2006
103views more  DM 2006»
13 years 8 months ago
Bounds on the forcing numbers of bipartite graphs
The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demon...
Seth Kleinerman
DM
2008
91views more  DM 2008»
13 years 8 months ago
Lower bounds for the game colouring number of partial k-trees and planar graphs
This paper discusses the game colouring number of partial k-trees and planar graphs. Let colg(PT k) and colg(P) denote the maximum game colouring number of partial k trees and the...
Jiaojiao Wu, Xuding Zhu
DM
2007
114views more  DM 2007»
13 years 8 months ago
An inequality for the group chromatic number of a graph
—We give an inequality for the group chromatic number of a graph as an extension of Brooks’ Theorem. Moreover, we obtain a structural theorem for graphs satisfying the equality...
Hong-Jian Lai, Xiangwen Li, Gexin Yu
ENDM
2007
91views more  ENDM 2007»
13 years 8 months 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