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» The Longest Path Problem Is Polynomial on Interval Graphs
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ESA
2006
Springer
96views Algorithms» more  ESA 2006»
13 years 11 months ago
Finite Termination of "Augmenting Path" Algorithms in the Presence of Irrational Problem Data
This paper considers two similar graph algorithms that work by repeatedly increasing "flow" along "augmenting paths": the Ford-Fulkerson algorithm for the maxi...
Brian C. Dean, Michel X. Goemans, Nicole Immorlica
SODA
2008
ACM
127views Algorithms» more  SODA 2008»
13 years 8 months ago
Nondecreasing paths in a weighted graph or: how to optimally read a train schedule
A travel booking office has timetables giving arrival and departure times for all scheduled trains, including their origins and destinations. A customer presents a starting city a...
Virginia Vassilevska
COMPGEOM
2008
ACM
13 years 9 months ago
Maximum thick paths in static and dynamic environments
We consider the problem of finding a maximum number of disjoint paths for unit disks moving amidst static or dynamic obstacles. For the static case we give efficient exact algorit...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...
ESA
2006
Springer
139views Algorithms» more  ESA 2006»
13 years 11 months ago
Stochastic Shortest Paths Via Quasi-convex Maximization
Abstract. We consider the problem of finding shortest paths in a graph with independent randomly distributed edge lengths. Our goal is to maximize the probability that the path len...
Evdokia Nikolova, Jonathan A. Kelner, Matthew Bran...
FSTTCS
2010
Springer
13 years 5 months ago
Finding Independent Sets in Unions of Perfect Graphs
ABSTRACT. The maximum independent set problem (MAXIS) on general graphs is known to be NPhard to approximate within a factor of n1-, for any > 0. However, there are many "...
Venkatesan T. Chakaravarthy, Vinayaka Pandit, Samb...