Volume 5, Issue 2 (11-2010)                   IJMSI 2010, 5(2): 55-60 | Back to browse issues page

DOI: 10.7508/ijmsi.2010.02.006

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Alikhani S, Iranmanesh M A. Energy of Graphs, Matroids and Fibonacci Numbers. IJMSI. 2010; 5 (2) :55-60
URL: http://ijmsi.ir/article-1-141-en.html


The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. In this article we consider the problem whether generalized Fibonacci constants $varphi_n$ $(ngeq 2)$ can be the energy of graphs. We show that $varphi_n$ cannot be the energy of graphs. Also we prove that all natural powers of $varphi_{2n}$ cannot be the energy of a matroid.

Type of Study: Research | Subject: General

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