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» A Graph Pebbling Algorithm on Weighted Graphs
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SIAMCOMP
2010
172views more  SIAMCOMP 2010»
13 years 2 months ago
More Algorithms for All-Pairs Shortest Paths in Weighted Graphs
In the first part of the paper, we reexamine the all-pairs shortest paths (APSP) problem and present a new algorithm with running time O(n3 log3 log n/ log2 n), which improves all...
Timothy M. Chan
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 5 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
DAM
2006
100views more  DAM 2006»
13 years 7 months ago
A combinatorial algorithm for weighted stable sets in bipartite graphs
Abstract. Computing a maximum weighted stable set in a bipartite graph is considered wellsolved and usually approached with preflow-push, Ford-Fulkerson or network simplex algorith...
Ulrich Faigle, Gereon Frahling
SWAT
1994
Springer
113views Algorithms» more  SWAT 1994»
13 years 11 months ago
Trapezoid Graphs and Generalizations, Geometry and Algorithms
Trapezoid graphs are a class of cocomparability graphs containing interval graphs and permutation graphs as subclasses. They were introduced by Dagan, Golumbic and Pinter DGP]. Th...
Stefan Felsner, Rudolf Müller, Lorenz Wernisc...
CATS
2006
13 years 9 months ago
Graph Orientation Algorithms to Minimize the Maximum Outdegree
We study the problem of orienting the edges of a weighted graph such that the maximum weighted outdegree of vertices is minimized. This problem, which has applications in the guar...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono, Kouhei ...