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» Finding Independent Sets in Unions of Perfect Graphs
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CPC
2006
116views more  CPC 2006»
13 years 6 months ago
Finding Large Independent Sets in Polynomial Expected Time
We consider instances of the maximum independent set problem that are constructed according to the following semirandom model. Let Gn,p be a random graph, and let S be a set consis...
Amin Coja-Oghlan
FCT
2007
Springer
13 years 10 months ago
Multi-dimensional Packing with Conflicts
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
Leah Epstein, Asaf Levin, Rob van Stee
ACTA
2008
136views more  ACTA 2008»
13 years 6 months ago
Two-dimensional packing with conflicts
We study the two-dimensional version of the bin packing problem with conflicts. We are given a set of (two-dimensional) squares V = {1, 2, . . . , n} with sides s1, s2 . . . , sn ...
Leah Epstein, Asaf Levin, Rob van Stee
CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 6 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
COMBINATORICA
1998
94views more  COMBINATORICA 1998»
13 years 6 months ago
The Shannon Capacity of a Union
For an undirected graph G = (V, E), let Gn denote the graph whose vertex set is V n in which two distinct vertices (u1, u2, . . . , un) and (v1, v2, . . . , vn) are adjacent iff ...
Noga Alon