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» On the Grundy Number of a Graph
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DM
2008
80views more  DM 2008»
15 years 6 months ago
Restrained bondage in graphs
Let G = (V, E) be a graph. A set S V is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and to a vertex in V - S. The restrained domination numb...
Johannes H. Hattingh, Andrew R. Plummer
COMBINATORICS
2006
97views more  COMBINATORICS 2006»
15 years 6 months ago
H-Free Graphs of Large Minimum Degree
We prove the following extension of an old result of Andr
Noga Alon, Benny Sudakov
SPAA
2000
ACM
15 years 10 months ago
Fault tolerant networks with small degree
In this paper, we study the design of fault tolerant networks for arrays and meshes by adding redundant nodes and edges. For a target graph G (linear array or mesh in this paper),...
Li Zhang
JGT
2010
152views more  JGT 2010»
15 years 1 months ago
Cycles of even lengths modulo k
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
Ajit A. Diwan
VIZSEC
2005
Springer
15 years 12 months ago
Multiple Coordinated Views for Network Attack Graphs
While efficient graph-based representations have been developed for modeling combinations of low-level network attacks, relatively little attention has been paid to effective tech...
Steven Noel, Michael Jacobs, Pramod Kalapa, Sushil...