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MICS
2010
124views more  MICS 2010»
13 years 7 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
IWOCA
2010
Springer
232views Algorithms» more  IWOCA 2010»
13 years 7 months ago
Computing Role Assignments of Proper Interval Graphs in Polynomial Time
A homomorphism from a graph G to a graph R is locally surjective if its restriction to the neighborhood of each vertex of G is surjective. Such a homomorphism is also called an R-r...
Pinar Heggernes, Pim van 't Hof, Daniël Paulu...
ISAAC
2010
Springer
277views Algorithms» more  ISAAC 2010»
13 years 10 months ago
Induced Subgraph Isomorphism on Interval and Proper Interval Graphs
The Induced Subgraph Isomorphism problem on two input graphs G and H is to decide whether G has an induced subgraph isomorphic to H. Already for the restricted case where H is a c...
Pinar Heggernes, Daniel Meister, Yngve Villanger
TCS
2010
13 years 11 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
TAMC
2010
Springer
13 years 11 months ago
Exploiting Restricted Linear Structure to Cope with the Hardness of Clique-Width
Clique-width is an important graph parameter whose computation is NP-hard. In fact we do not know of any other algorithm than brute force for the exact computation of clique-width...
Pinar Heggernes, Daniel Meister, Udi Rotics
CORR
2006
Springer
144views Education» more  CORR 2006»
14 years 28 days 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
APPML
2008
93views more  APPML 2008»
14 years 1 months ago
A matrix characterization of interval and proper interval graphs
In this work a matrix representation that characterizes the interval and proper interval graphs is presented, which is useful for the efficient formulation and solution of optimiz...
George B. Mertzios