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DM
1998
62views more  DM 1998»
13 years 7 months ago
Bipartite subgraphs of integer weighted graphs
For every integer p > 0 let f(p) be the minimum possible value of the maximum weight of a cut in an integer weighted graph with total weight p. It is shown that for every large...
Noga Alon, Eran Halperin
COCOON
2006
Springer
13 years 9 months ago
Partitioning a Multi-weighted Graph to Connected Subgraphs of Almost Uniform Size
Assume that each vertex of a graph G is assigned a constant number q of nonnegative integer weights, and that q pairs of nonnegative integers li and ui, 1 i q, are given. One wis...
Takehiro Ito, Kazuya Goto, Xiao Zhou, Takao Nishiz...
FSTTCS
2007
Springer
14 years 1 months ago
Covering Graphs with Few Complete Bipartite Subgraphs
We consider computational problems on covering graphs with bicliques (complete bipartite subgraphs). Given a graph and an integer k, the biclique cover problem asks whether the edg...
Herbert Fleischner, Egbert Mujuni, Daniël Pau...
CPC
2010
116views more  CPC 2010»
13 years 4 months ago
A Separator Theorem for String Graphs and its Applications
A string graph is the intersection graph of a collection of continuous arcs in the plane. It is shown that any string graph with m edges can be separated into two parts of roughly...
Jacob Fox, János Pach
WG
2004
Springer
14 years 21 days ago
Partitioning a Weighted Graph to Connected Subgraphs of Almost Uniform Size
Abstract. Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wish to partition G into connected components...
Takehiro Ito, Xiao Zhou, Takao Nishizeki