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» Game chromatic number of Cartesian product graphs
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73
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DM
2007
97views more  DM 2007»
14 years 9 months ago
Recognizing Cartesian products in linear time
We present an algorithm that determines the prime factors of connected graphs with respect to the Cartesian product in linear time and space. This improves a result of Aurenhammee...
Wilfried Imrich, Iztok Peterin
71
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COMBINATORICS
2000
85views more  COMBINATORICS 2000»
14 years 9 months ago
Inequality Related to Vizing's Conjecture
Let (G) denote the domination number of a graph G and let G H denote the Cartesian product of graphs G and H. We prove that (G)(H) 2(G H) for all simple graphs G and H. 2000 Math...
W. Edwin Clark, Stephen Suen
COMBINATORICS
2000
100views more  COMBINATORICS 2000»
14 years 9 months ago
Separability Number and Schurity Number of Coherent Configurations
To each coherent configuration (scheme) C and positive integer m we associate a natural scheme C(m) on the m-fold Cartesian product of the point set of C having the same automorph...
Sergei Evdokimov, Ilia N. Ponomarenko
DM
1999
61views more  DM 1999»
14 years 9 months ago
On an equivalence in discrete extremal problems
We introduce some equivalence relations on graphs and posets and prove that they are closed under the cartesian product operation. These relations concern the edge-isoperimetric p...
Sergei L. Bezrukov
DM
2008
106views more  DM 2008»
14 years 9 months ago
Chromatic capacity and graph operations
The chromatic capacity cap(G) of a graph G is the largest k for which there exists a k-coloring of the edges of G such that, for every coloring of the vertices of G with the same ...
Jack Huizenga