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COCOON
2005
Springer
14 years 1 months ago
Power Domination Problem in Graphs
To monitor an electric power system by placing as few phase measurement units (PMUs) as possible is closely related to the famous vertex cover problem and domination problem in gr...
Chung-Shou Liao, Der-Tsai Lee
JCT
2007
111views more  JCT 2007»
13 years 7 months ago
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
David Forge, Thomas Zaslavsky
CORR
2008
Springer
71views Education» more  CORR 2008»
13 years 7 months ago
Asteroids in rooted and directed path graphs
An asteroidal triple is a stable set of three vertices such that each pair is connected by a path avoiding the neighborhood of the third vertex. Asteroidal triples play a central ...
Kathie Cameron, Chính T. Hoàng, Benj...
COMBINATORICA
2008
89views more  COMBINATORICA 2008»
13 years 7 months ago
The stable set polytope of quasi-line graphs
It is a long standing open problem to find an explicit description of the stable set polytope of clawfree graphs. Yet more than 20 years after the discovery of a polynomial algori...
Friedrich Eisenbrand, Gianpaolo Oriolo, Gautier St...
DAM
2011
13 years 2 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...