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DM
2008
161views more  DM 2008»
13 years 4 months ago
On the geodetic number and related metric sets in Cartesian product graphs
A set S of vertices of a graph G is a geodetic set if every vertex of G lies in at least one interval between the vertices of S. The size of a minimum geodetic set in G is the geo...
Bostjan Bresar, Sandi Klavzar, Aleksandra Tepeh Ho...
DM
2010
117views more  DM 2010»
13 years 4 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
COCOON
2006
Springer
13 years 8 months ago
Optimal Acyclic Edge Colouring of Grid Like Graphs
We determine the values of the acyclic chromatic index of a class of graphs referred to as d-dimensional partial tori. These are graphs which can be expressed as the cartesian prod...
Rahul Muthu, N. Narayanan, C. R. Subramanian