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WG
2009
Springer
14 years 2 months ago
Sub-coloring and Hypo-coloring Interval Graphs
In this paper, we study the sub-coloring and hypo-coloring problems on interval graphs. These problems have applications in job scheduling and distributed computing and can be used...
Rajiv Gandhi, Bradford Greening, Sriram V. Pemmara...
MFCS
2009
Springer
14 years 2 months ago
The Longest Path Problem Is Polynomial on Interval Graphs
The longest path problem is the problem of finding a path of maximum length in a graph. Polynomial solutions for this problem are known only for small classes of graphs, while it ...
Kyriaki Ioannidou, George B. Mertzios, Stavros D. ...
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
TCS
2010
13 years 6 months ago
A polynomial solution to the k-fixed-endpoint path cover problem on proper interval graphs
: We study a variant of the path cover problem, namely, the k-fixed-endpoint path cover problem, or kPC for short. Given a graph G and a subset T of k vertices of V (G), a k-fixe...
Katerina Asdre, Stavros D. Nikolopoulos
ALGORITHMICA
2010
188views more  ALGORITHMICA 2010»
13 years 7 months ago
The 1-Fixed-Endpoint Path Cover Problem is Polynomial on Interval Graphs
Abstract We consider a variant of the path cover problem, namely, the k-fixedendpoint path cover problem, or kPC for short, on interval graphs. Given a graph G and a subset T of k ...
Katerina Asdre, Stavros D. Nikolopoulos