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ESA
2007
Springer
118views Algorithms» more  ESA 2007»
13 years 11 months ago
A Quasi-PTAS for Profit-Maximizing Pricing on Line Graphs
We consider the problem of pricing items so as to maximize the profit made from selling these items. An instance is given by a set E of n items and a set of m clients, where each c...
Khaled M. Elbassioni, René Sitters, Yan Zha...
DM
2010
124views more  DM 2010»
13 years 7 months ago
Asymptotic enumeration of 2-covers and line graphs
A 2-cover is a multiset of subsets of [n] := {1, 2, . . . , n} such that each element of [n] lies in exactly two of the subsets. A 2-cover is called proper if all of the subsets o...
Peter J. Cameron, Thomas Prellberg, Dudley Stark
BMCBI
2004
120views more  BMCBI 2004»
13 years 7 months ago
Clustering under the line graph transformation: application to reaction network
Background: Many real networks can be understood as two complementary networks with two kind of nodes. This is the case of metabolic networks where the first network has chemical ...
Jose C. Nacher, Nobuhisa Ueda, Takuji Yamada, Mino...
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
14 years 8 months ago
A quasi-PTAS for unsplittable flow on line graphs
We study the Unsplittable Flow Problem (UFP) on a line graph, focusing on the long-standing open question of whether the problem is APX-hard. We describe a deterministic quasi-pol...
Nikhil Bansal, Amit Chakrabarti, Amir Epstein, Bar...
DAM
2010
111views more  DAM 2010»
13 years 7 months ago
Covering line graphs with equivalence relations
An equivalence graph is a disjoint union of cliques, and the equivalence number eq(G) of a graph G is the minimum number of equivalence subgraphs needed to cover the edges of G. W...
Louis Esperet, John Gimbel, Andrew King