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» Cleaning Interval Graphs
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JGT
2010
158views more  JGT 2010»
14 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
IPPS
2003
IEEE
15 years 3 months ago
Channel Assignment on Strongly-Simplicial Graphs
Given a vector ( 1 2 ::: t) of non increasing positive integers, and an undirected graph G = (V E), an L( 1 2 ::: t)-coloring of G is a function f from the vertex set V to a set o...
Alan A. Bertossi, Maria Cristina Pinotti, Romeo Ri...
STACS
2010
Springer
15 years 5 months ago
The Recognition of Tolerance and Bounded Tolerance Graphs
Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This subclass of perfect graphs has bee...
George B. Mertzios, Ignasi Sau, Shmuel Zaks
WG
1995
Springer
15 years 1 months ago
On Interval Routing Schemes and Treewidth
Abstract. In this paper, we investigate which processor networks allow klabel Interval Routing Schemes, under the assumption that costs of edges may vary. We show that for each xed...
Hans L. Bodlaender, Richard B. Tan, Dimitrios M. T...
COCOON
2005
Springer
15 years 3 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