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» The Longest Path Problem Is Polynomial on Interval Graphs
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CORR
2011
Springer
143views Education» more  CORR 2011»
12 years 11 months ago
Polynomial kernels for Proper Interval Completion and related problems
Given a graph G = (V, E) and a positive integer k, the Proper Interval Completion problem asks whether there exists a set F of at most k pairs of (V × V ) \ E such that the graph...
Stéphane Bessy, Anthony Perez
SMC
2010
IEEE
158views Control Systems» more  SMC 2010»
13 years 5 months ago
A study of genetic algorithms for approximating the longest path in generic graphs
Abstract--Finding the longest simple path in a generic undirected graph is a challenging issue that belongs to the NPComplete class of problems. Four approaches based on genetic al...
David Portugal, Carlos Henggeler Antunes, Rui Roch...
JDA
2010
122views more  JDA 2010»
13 years 2 months ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos
ARSCOM
2006
96views more  ARSCOM 2006»
13 years 7 months ago
The Weighted Integrity Problem is Polynomial for Interval Graphs
Sibabrata Ray, Rajgopal Kannan, Danyang Zhang, Hon...
GD
2006
Springer
13 years 11 months ago
Parameterized st -Orientations of Graphs: Algorithms and Experiments
st-orientations (st-numberings) or bipolar orientations of undirected graphs are central to many graph algorithms and applications. Several algorithms have been proposed in the pas...
Charalampos Papamanthou, Ioannis G. Tollis