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» A graph polynomial for independent sets of bipartite graphs
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ACTA
2008
136views more  ACTA 2008»
13 years 8 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
SODA
2004
ACM
93views Algorithms» more  SODA 2004»
13 years 9 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
STOC
2002
ACM
149views Algorithms» more  STOC 2002»
14 years 8 months ago
The complexity of choosing an H-colouring (nearly) uniformly at random
Cooper, Dyer and Frieze studied the problem of sampling H-colourings (nearly) uniformly at random. Special cases of this problem include sampling colourings and independent sets a...
Leslie Ann Goldberg, Steven Kelk, Mike Paterson
APPROX
2005
Springer
122views Algorithms» more  APPROX 2005»
14 years 1 months ago
Finding a Maximum Independent Set in a Sparse Random Graph
We consider the problem of finding a maximum independent set in a random graph. The random graph G, which contains n vertices, is modelled as follows. Every edge is included inde...
Uriel Feige, Eran Ofek
DCOSS
2008
Springer
13 years 10 months ago
Local PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Andreas Wiese, Evangelos Kranakis