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» A graph polynomial for independent sets of bipartite graphs
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MOR
2007
138views more  MOR 2007»
13 years 8 months ago
The Demand-Matching Problem
The objective of the demand matching problem is to obtain the subset M of edges which is feasible and where the sum of the profits of each of the edges is maximized. The set M is...
F. Bruce Shepherd, Adrian Vetta
DAM
1999
119views more  DAM 1999»
13 years 8 months ago
On the Algorithmic Complexity of Twelve Covering and Independence Parameters of Graphs
The definitions of four previously studied parameters related to total coverings and total matchings of graphs can be restricted, thereby obtaining eight parameters related to cov...
David Manlove
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
IPCO
2007
77views Optimization» more  IPCO 2007»
13 years 9 months ago
Mixed-Integer Vertex Covers on Bipartite Graphs
Let A be the edge-node incidence matrix of a bipartite graph G = (U, V ; E), I be a subset the nodes of G, and b be a vector such that 2b is integral. We consider the following mi...
Michele Conforti, Bert Gerards, Giacomo Zambelli
FCT
2007
Springer
14 years 8 days 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