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» The Longest Path Problem Is Polynomial on Interval Graphs
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MFCS
2009
Springer
14 years 3 hour 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. ...
IJFCS
2007
93views more  IJFCS 2007»
13 years 5 months ago
On Computing Longest Paths in Small Graph Classes
The longest path problem is to find a longest path in a given graph. While the graph classes in which the Hamiltonian path problem can be solved efficiently are widely investigat...
Ryuhei Uehara, Yushi Uno
ALGORITHMICA
2010
188views more  ALGORITHMICA 2010»
13 years 5 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
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
TCS
2008
13 years 5 months ago
Paths and trails in edge-colored graphs
This paper deals with the existence and search of properly edgecolored paths/trails between two, not necessarily distinct, vertices s and t in an edge-colored graph from an algori...
A. Abouelaoualim, Kinkar Chandra Das, L. Faria, Ya...