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ACSC
2005
IEEE
15 years 6 months ago
Large k-Separated Matchings of Random Regular Graphs
A k-separated matching in a graph is a set of edges at distance at least k from one another (hence, for instance, a 1-separated matching is just a matching in the classical sense)...
Mihalis Beis, William Duckworth, Michele Zito
96
Voted
JCT
1998
122views more  JCT 1998»
15 years 3 days ago
Counting 1-Factors in Regular Bipartite Graphs
We show that any k-regular bipartite graph with 2n vertices has at least ((k−1)k−1 kk−2 )n perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent...
Alexander Schrijver
87
Voted
COMBINATORICS
2007
88views more  COMBINATORICS 2007»
15 years 13 days ago
Maximum Matchings in Regular Graphs of High Girth
Let G = (V, E) be any d-regular graph with girth g on n vertices, for d ≥ 3. This note shows that G has a maximum matching which includes all but an exponentially small fraction...
Abraham D. Flaxman, Shlomo Hoory
82
Voted
VLDB
1989
ACM
97views Database» more  VLDB 1989»
15 years 4 months ago
Finding Regular Simple Paths in Graph Databases
We consider the following problem: given a labelled directedgraphG anda regularexpressionR, find all pairs of nodesconnectedby a simplepathsuchthattheconcatenationof thelabelsalon...
Alberto O. Mendelzon, Peter T. Wood
122
Voted
AAAI
2012
13 years 2 months ago
Transfer Learning with Graph Co-Regularization
Transfer learning proves to be effective for leveraging labeled data in the source domain to build an accurate classifier in the target domain. The basic assumption behind transf...
Mingsheng Long, Jianmin Wang 0001, Guiguang Ding, ...