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» On the Number of Perfect Matchings in Random Lifts
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CPC
2010
117views more  CPC 2010»
13 years 1 months ago
On the Number of Perfect Matchings in Random Lifts
Let G be a fixed connected multigraph with no loops. A random n-lift of G is obtained by replacing each vertex of G by a set of n vertices (where these sets are pairwise disjoint)...
Catherine S. Greenhill, Svante Janson, Andrzej Ruc...
SIAMDM
2008
101views more  SIAMDM 2008»
13 years 3 months ago
Hamilton Cycles in Random Lifts of Directed Graphs
An n-lift of a digraph K, is a digraph with vertex set V (K)
Prasad Chebolu, Alan M. Frieze
STACS
2007
Springer
13 years 9 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
INFOCOM
2009
IEEE
13 years 10 months ago
Online Bipartite Perfect Matching With Augmentations
—In this paper, we study an online bipartite matching problem, motivated by applications in wireless communication, content delivery, and job scheduling. In our problem, we have ...
Kamalika Chaudhuri, Constantinos Daskalakis, Rober...
ALGORITHMICA
2008
82views more  ALGORITHMICA 2008»
13 years 3 months ago
Random Bichromatic Matchings
Given a graph with edges colored Red and Blue, we wish to sample and approximately count the number of perfect matchings with exactly k Red edges. We study a Markov chain on the sp...
Nayantara Bhatnagar, Dana Randall, Vijay V. Vazira...