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STACS
2010
Springer
16 years 1 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 10 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 10 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»
15 years 6 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»
15 years 6 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