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Undirected simple connected graphs with minimum number of spanning trees

โœ Scribed by Zbigniew R. Bogdanowicz


Book ID
108114075
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
765 KB
Volume
309
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Two-cacti with minimum number of spannin
โœ Preben Dahl Vestergaard ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 624 KB

proved that the spanning trees of a 2-cactus partition into at least 3 isomorphism classes. Here we examine the structure of these 2-cacti for which the spanning trees partition into exactly 3 isomorphism classes.

On graphs with the maximum number of spa
โœ Alexander K. Kelmans ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 814 KB

Let 3:; denote the set of simple graphs with n vertices and m edges, t ( G ) the number of spanning trees of a graph G , and F 2 H if t(K,\E(F))?t(K,\E(H)) for every s? max{u(F), u ( H ) } . We give a complete characterization of >-maximal (maximum) graphs in 3:; subject to m 5 n . This result conta

On the characterization of graphs with m
โœ L. Petingi; F. Boesch; C. Suffel ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 591 KB

A graph G with n nodes and e edges is said to be t-optimal if G has the maximum number of spanning trees among all graphs with the same number of nodes and edges as G. Hitherto, t-optimal graphs have been characterized for the following cases: (a) n=sp, and e=(s(s-1)/2)p 2, when s and p are positive