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EJC
2008
14 years 10 months ago
The distinguishing number of Cartesian products of complete graphs
The distinguishing number D(G) of a graph G is the least integer d such that G has a labeling with d labels that is preserved only by a trivial automorphism. We prove that Cartesi...
Wilfried Imrich, Janja Jerebic, Sandi Klavzar
DM
2010
117views more  DM 2010»
14 years 10 months ago
The distinguishing chromatic number of Cartesian products of two complete graphs
A labeling of a graph G is distinguishing if it is only preserved by the trivial automorphism of G. The distinguishing chromatic number of G is the smallest integer k such that G ...
Janja Jerebic, Sandi Klavzar
DM
2008
77views more  DM 2008»
14 years 10 months ago
Distinguishing colorings of Cartesian products of complete graphs
Michael J. Fisher, Garth Isaak
SIAMDM
2010
133views more  SIAMDM 2010»
14 years 8 months ago
Distinguishing Chromatic Number of Cartesian Products of Graphs
Jeong Ok Choi, Stephen G. Hartke, Hemanshu Kaul
GC
2008
Springer
14 years 10 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