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CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 4 months ago
The minimum linear arrangement problem on proper interval graphs
We present a linear time algorithm for the minimum linear arrangement problem on proper interval graphs. The obtained ordering is a 4-approximation for general interval graphs. 1 ...
Ilya Safro
TCS
2010
13 years 3 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
JCT
2007
111views more  JCT 2007»
13 years 4 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
MICS
2010
124views more  MICS 2010»
12 years 11 months ago
An Optimal Algorithm for the k-Fixed-Endpoint Path Cover on Proper Interval Graphs
In this paper we consider the k-fixed-endpoint path cover problem on proper interval graphs, which is a generalization of the path cover problem. Given a graph G and a set T of k v...
George B. Mertzios, Walter Unger
COR
2008
118views more  COR 2008»
13 years 4 months ago
An effective two-stage simulated annealing algorithm for the minimum linear arrangement problem
In this paper, an improved Two-Stage Simulated Annealing algorithm is presented for the Minimum Linear Arrangement Problem for Graphs. This algorithm integrates several distinguis...
Eduardo Rodriguez-Tello, Jin-Kao Hao, Jose Torres-...