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ORL
2007
102views more  ORL 2007»
15 years 5 months ago
Using critical sets to solve the maximum independent set problem
A method that utilizes the polynomially solvable critical independent set problem for solving the maximum independent set problem on graphs with a nonempty critical independent se...
Sergiy Butenko, Svyatoslav Trukhanov
APPROX
2000
Springer
190views Algorithms» more  APPROX 2000»
15 years 10 months ago
Approximating node connectivity problems via set covers
Given a graph (directed or undirected) with costs on the edges, and an integer k, we consider the problem of nding a k-node connected spanning subgraph of minimum cost. For the ge...
Guy Kortsarz, Zeev Nutov
STOC
1991
ACM
105views Algorithms» more  STOC 1991»
15 years 10 months ago
An Efficient Algorithm for the Genus Problem with Explicit Construction of Forbidden Subgraphs
act We give an algorithm for imbedding a graph G of n vertices onto an oriented surface of minimal genus g. If g > 0 then we also construct a forbidden subgraph of G which is ho...
Hristo Djidjev, John H. Reif
JGT
2008
92views more  JGT 2008»
15 years 6 months ago
A new upper bound for the bipartite Ramsey problem
We consider the following question: how large does n have to be to guarantee that in any two-colouring of the edges of the complete graph Kn,n there is a monochromatic Kk,k? In th...
David Conlon
WG
2004
Springer
15 years 11 months ago
Treelike Comparability Graphs: Characterization, Recognition, and Applications
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
Sabine Cornelsen, Gabriele Di Stefano