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» The b-chromatic Number of a Graph
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GC
2008
Springer
13 years 5 months ago
On the Acyclic Chromatic Number of Hamming Graphs
An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum nu...
Robert E. Jamison, Gretchen L. Matthews
IPL
2008
98views more  IPL 2008»
13 years 5 months ago
On the number of Go positions on lattice graphs
We use transfer matrix methods to determine bounds for the numbers of legal Go positions for various numbers of players on some planar lattice graphs, including square lattice gra...
Graham Farr, Johannes Schmidt
SIAMDM
2008
140views more  SIAMDM 2008»
13 years 5 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda
GD
2005
Springer
13 years 11 months ago
Odd Crossing Number Is Not Crossing Number
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
JGT
2006
99views more  JGT 2006»
13 years 5 months 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