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DAM
2010
137views more  DAM 2010»
13 years 7 months ago
H-join decomposable graphs and algorithms with runtime single exponential in rankwidth
We introduce H -join decompositions of graphs, indexed by a fixed bipartite graph H . These decompositions are based on a graph operation that we call H -join, which adds edges be...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
MOR
2007
138views more  MOR 2007»
13 years 7 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
JCO
2007
113views more  JCO 2007»
13 years 7 months ago
Recent progress in mathematics and engineering on optimal graph labellings with distance conditions
The problem of radio channel assignments with multiple levels of interference can be modelled using graph theory. The theory of integer vertex-labellings of graphs with distance c...
Jerrold R. Griggs, Xiaohua Teresa Jin
RSA
2011
126views more  RSA 2011»
13 years 2 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
COMBINATORICS
2006
130views more  COMBINATORICS 2006»
13 years 7 months ago
Fractional Biclique Covers and Partitions of Graphs
A biclique is a complete bipartite subgraph of a graph. This paper investigates the fractional biclique cover number, bc(G), and the fractional biclique partition number, bp(G), o...
Valerie L. Watts