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» The Longest Path Problem Is Polynomial on Interval Graphs
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SWAT
2004
Springer
109views Algorithms» more  SWAT 2004»
14 years 21 days ago
Robust Subgraphs for Trees and Paths
Consider a graph problem which is associated with a parameter, for example, that of finding a longest tour spanning k vertices. The following question is natural: Is there a smal...
Refael Hassin, Danny Segev
CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 7 months ago
Shortest paths between shortest paths and independent sets
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
Marcin Kaminski, Paul Medvedev, Martin Milanic
DAM
2011
13 years 2 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...
ESA
2000
Springer
104views Algorithms» more  ESA 2000»
13 years 11 months ago
Efficient Algorithms for Centers and Medians in Interval and Circular-Arc Graphs
The p-center problem is to locate p facilities on a network so as to minimize the largest distance from a demand point to its nearest facility. The p-median problem is to locate p ...
Sergei Bespamyatnikh, Binay K. Bhattacharya, J. Ma...
SWAT
1998
Springer
108views Algorithms» more  SWAT 1998»
13 years 11 months ago
Formal Language Constrained Path Problems
Given an alphabet , a (directed) graph G whose edges are weighted and -labeled, and a formal language L , the formal-language-constrained shortest/simple path problem consists of ...
Christopher L. Barrett, Riko Jacob, Madhav V. Mara...