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The deletion-contraction method for counting the number of spanning trees of graphs

Regular Article

Abstract

In this paper we will be concerned with some combinatorial methods that enable us to determine the number of spanning trees of a graph. Although these methods apply only to rather restricted classes of graphs, sometimes strikingly simple calculations reveal the number of spanning trees of seemingly complex graphs, we presented techniques to derive spanning trees recursions in graphs. Then, we gave the generalization for these techniques. Finally, making use of our results, we investigated the complexity of some new graphs.

Keywords

Span Tree Connected Graph Complete Graph Common Vertex Complete Bipartite Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceTaibah UniversityAl-MadinahSaudi Arabia
  2. 2.Department of Mathematics, Faculty of ScienceMenoufia UniversityShebin El KomEgypt

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