Published January 1, 2013 | Version v1
Journal article Open

The number of spanning trees of a graph

  • 1. Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
  • 2. Selcuk Univ, Fac Sci, Dept Math, TR-42075 Campus, Konya, Turkey
  • 3. Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey

Description

Let G be a simple connected graph of order n, m edges, maximum degree Delta(1) and minimum degree delta. Li et al. (Appl. Math. Lett. 23: 286-290, 2010) gave an upper bound on number of spanning trees of a graph in terms of n, m, Delta(1) and delta:

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