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The number of spanning trees of a graph

โœ Scribed by Kinkar C Das,Ahmet S Cevik,Ismail N Cangul


Book ID
121618794
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
207 KB
Volume
2013
Category
Article
ISSN
1025-5834

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The number of spanning trees of a graph
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For a connected graph G, let ~-(G) be the set of all spanning trees of G and let nd(G) be the number of vertices of maximum degree in G. In this paper we show that if G is a cactus or a connected graph with p vertices and p+ 1 edges, then the set {na(T) : T C ~-(G)) has at most one gap, that is, it