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STACS
2010
Springer
15 years 5 months ago
Treewidth Reduction for Constrained Separation and Bipartization Problems
We present a method for reducing the treewidth of a graph while preserving all the minimal s−t separators. This technique turns out to be very useful in the design of parameteriz...
Dániel Marx, Barry O'Sullivan, Igor Razgon
APPROX
2006
Springer
91views Algorithms» more  APPROX 2006»
15 years 1 months ago
Threshold Functions for Asymmetric Ramsey Properties Involving Cliques
Consider the following problem: For given graphs G and F1, . . . , Fk, find a coloring of the edges of G with k colors such that G does not contain Fi in color i. For example, if e...
Martin Marciniszyn, Jozef Skokan, Reto Spöhel...
ICALP
2010
Springer
15 years 1 months ago
Testing 2-Vertex Connectivity and Computing Pairs of Vertex-Disjoint s-t Paths in Digraphs
We present an O(m + n)-time algorithm that tests if a given directed graph is 2-vertex connected, where m is the number of arcs and n is the number of vertices. Based on this resul...
Loukas Georgiadis
ALGORITHMICA
2010
108views more  ALGORITHMICA 2010»
14 years 10 months ago
An Efficient Algorithm for Batch Stability Testing
Given a stable marriage problem instance represented by a bipartite graph having 2n vertices and m edges, we describe an algorithm that can verify the stability of k different mat...
John Dabney, Brian C. Dean
COMBINATORICS
2006
112views more  COMBINATORICS 2006»
14 years 10 months ago
More Forbidden Minors for Wye-Delta-Wye Reducibility
A graph is Y Y reducible if it can be reduced to isolated vertices by a sequence of series-parallel reductions and Y Y transformations. It is still an open problem to characterize...
Yaming Yu