OL
2010
13 years 5 months ago
2010
This article studies a degree-bounded generalization of independent sets called co-k-plexes. Constant factor approximation algorithms are developed for the maximum co-k-plex probl...
DAM
1999
13 years 10 months ago
1999
The achromatic number (G) of a graph G = (V, E) is the maximum k such that V has a partition V1, V2, . . . , Vk into independent sets, the union of no pair of which is independent...
JSYML
2000
13 years 10 months ago
2000
We deal with several pcf problems; we characterize another version of exponentiation: number of -branches in a tree with nodes, deal with existence of independent sets in stable t...
JAL
2000
13 years 10 months ago
2000
Random independent sets in graphs arise, for example, in statistical physics, in the hard-core model of a gas. In 1997, Luby and Vigoda described a rapidly mixing Markov chain for...
COMBINATORICS
2004
13 years 10 months ago
2004
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
SIAMJO
2008
13 years 10 months ago
2008
Abstract. We consider the offline and online versions of a bin packing problem called bin packing with conflicts. Given a set of items V = {1, 2, . . . , n} with sizes s1, s2 . . ....
DAM
2008
13 years 11 months ago
2008
We consider the vertex coloring problem, which may be stated as the problem of minimizing the number of labels that can be assigned to the vertices of a graph G such that each ver...
ACTA
2008
13 years 11 months ago
2008
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 ...
UAI
1990
14 years 1 days ago
1990
We examine the notion of "unrelatedness" in a probabilistic framework. Three formulations are presented. In the first formulation, two variables a and b are totally inde...
FCT
2007
Springer
14 years 2 months ago
2007
Springer
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...