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» Matching and edge-connectivity in regular graphs
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ICDE
2011
IEEE
263views Database» more  ICDE 2011»
12 years 10 months ago
Adding regular expressions to graph reachability and pattern queries
—It is increasingly common to find graphs in which edges bear different types, indicating a variety of relationships. For such graphs we propose a class of reachability queries ...
Wenfei Fan, Jianzhong Li, Shuai Ma, Nan Tang, Ying...
DM
2006
144views more  DM 2006»
13 years 6 months ago
On almost self-complementary graphs
A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc - I, where Xc denotes the complement of X and I a perfect matching (1-factor) i...
Primoz Potocnik, Mateja Sajna
JCT
1998
122views more  JCT 1998»
13 years 6 months 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