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SODA
2004
ACM
93views Algorithms» more  SODA 2004»
14 years 11 months ago
Bipartite roots of graphs
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
Lap Chi Lau
ESA
2005
Springer
93views Algorithms» more  ESA 2005»
15 years 3 months ago
New Tools and Simpler Algorithms for Branchwidth
Abstract. We provide new tools, such as k-troikas and good subtreerepresentations, that allow us to give fast and simple algorithms computing branchwidth. We show that a graph G ha...
Christophe Paul, Jan Arne Telle
CORR
2010
Springer
100views Education» more  CORR 2010»
14 years 9 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
STOC
2002
ACM
124views Algorithms» more  STOC 2002»
15 years 10 months ago
Clairvoyant scheduling of random walks
Two infinite walks on the same finite graph are called compatible if it is possible to introduce delays into them in such a way that they never collide. Years ago, Peter Winkler a...
Péter Gács
FAW
2009
Springer
180views Algorithms» more  FAW 2009»
15 years 4 months ago
Edge Search Number of Cographs in Linear Time
We give a linear-time algorithm for computing the edge search number of cographs, thereby proving that this problem can be solved in polynomial time on this graph class. With our ...
Pinar Heggernes, Rodica Mihai