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» Maximum Induced Matchings of Random Cubic Graphs
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DAM
2008
147views more  DAM 2008»
13 years 5 months ago
Efficient edge domination in regular graphs
13 An induced matching of a graph G is a matching having no two edges joined by14 an edge. An efficient edge dominating set of G is an induced matching M such that15 every other ed...
Domingos Moreira Cardoso, J. Orestes Cerdeira, Cha...
IWPEC
2009
Springer
13 years 12 months ago
Improved Induced Matchings in Sparse Graphs
An induced matching in graph G is a matching which is an induced subgraph of G. Clearly, among two vertices with the same neighborhood (called twins) at most one is matched in any...
Rok Erman, Lukasz Kowalik, Matjaz Krnc, Tomasz Wal...
ESA
2004
Springer
120views Algorithms» more  ESA 2004»
13 years 10 months ago
Maximum Matchings in Planar Graphs via Gaussian Elimination
We present a randomized algorithm for finding maximum matchings in planar graphs in time O(nω/2 ), where ω is the exponent of the best known matrix multiplication algorithm. Sin...
Marcin Mucha, Piotr Sankowski
JACM
2010
111views more  JACM 2010»
13 years 3 months ago
Finding a maximum matching in a sparse random graph in O(n) expected time
We present a linear expected time algorithm for finding maximum cardinality matchings in sparse random graphs. This is optimal and improves on previous results by a logarithmic f...
Prasad Chebolu, Alan M. Frieze, Páll Melste...
FSTTCS
2006
Springer
13 years 9 months ago
Fast Exponential Algorithms for Maximum r-Regular Induced Subgraph Problems
Given a graph G=(V, E) on n vertices, the MAXIMUM r-REGULAR INDUCED SUBGRAPH (M-r-RIS) problems ask for a maximum sized subset of vertices R V such that the induced subgraph on R,...
Sushmita Gupta, Venkatesh Raman, Saket Saurabh