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JGT
2010
158views more  JGT 2010»
13 years 8 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran
DM
2011
223views Education» more  DM 2011»
13 years 5 months ago
On graph equivalences preserved under extensions
Let G be the set of finite graphs whose vertices belong to some fixed countable set, and let ≡ be an equivalence relation on G. By the strengthening of ≡ we mean an equivalen...
Zbigniew Lonc, Miroslaw Truszczynski
DM
2008
145views more  DM 2008»
13 years 10 months ago
Clique coverings and partitions of line graphs
A clique in a graph G is a complete subgraph of G. A clique covering (partition) of G is a collection C of cliques such that each edge of G occurs in at least (exactly) one clique...
Bo-Jr Li, Gerard J. Chang
JGT
2008
91views more  JGT 2008»
13 years 10 months ago
On the editing distance of graphs
An edge-operation on a graph G is defined to be either the deletion of an existing edge or the addition of a nonexisting edge. Given a family of graphs G, the editing distance fro...
Maria Axenovich, André E. Kézdy, Rya...
JGT
2008
103views more  JGT 2008»
13 years 10 months ago
Game coloring the Cartesian product of graphs
: This article proves the following result: Let G and G be graphs of orders n and n , respectively. Let G be obtained from G by adding to each vertex a set of n degree 1 neighbors....
Xuding Zhu