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JGT
2010
158views more  JGT 2010»
13 years 5 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
2008
177views more  DM 2008»
13 years 7 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
DAM
2010
111views more  DAM 2010»
13 years 7 months ago
Covering line graphs with equivalence relations
An equivalence graph is a disjoint union of cliques, and the equivalence number eq(G) of a graph G is the minimum number of equivalence subgraphs needed to cover the edges of G. W...
Louis Esperet, John Gimbel, Andrew King
HICSS
2008
IEEE
90views Biometrics» more  HICSS 2008»
14 years 1 months ago
Power System Extreme Event Detection: The Vulnerability Frontier
In this work we apply graph theoretic tools to provide a close bound on a frontier relating the number of line outages in a grid to the power disrupted by the outages. This fronti...
Bernard C. Lesieutre, Ali Pinar, Sandip Roy
CCCG
1997
13 years 8 months ago
On the number of internal and external visibility edges of polygons
In this paper we prove that for any simple polygon P with n vertices, the sum of the number of strictly internal edges and the number of strictly external visibility edges of P is...
Jorge Urrutia