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» Enumeration for spanning forests of complete bipartite graph...
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ARSCOM
2007
191views more  ARSCOM 2007»
13 years 10 months ago
Binomial Identities Generated by Counting Spanning Trees
We partition the set of spanning trees contained in the complete graph Kn into spanning trees contained in the complete bipartite graph Ks,t. This relation will show that any prop...
Thomas Dale Porter
DM
2002
116views more  DM 2002»
13 years 9 months ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
PKDD
2005
Springer
145views Data Mining» more  PKDD 2005»
14 years 3 months ago
A Correspondence Between Maximal Complete Bipartite Subgraphs and Closed Patterns
For an undirected graph ¢ without self-loop, we prove: (i) that the number of closed patterns in the adjacency matrix of ¢ is even; (ii) that the number of the closed patterns i...
Jinyan Li, Haiquan Li, Donny Soh, Limsoon Wong
CPC
1998
154views more  CPC 1998»
13 years 9 months ago
Asymptotic Enumeration of Eulerian Circuits in the Complete Graph
We determine the asymptotic behaviour of the number of eulerian circuits in a complete graph of odd order. One corollary of our result is the following. If a maximum random walk, ...
Brendan D. McKay, Robert W. Robinson