Title of article :
The Minimum Estrada Index of Spiro Compounds with k−Quadrangles
Author/Authors :
IRANMANESH, MOHAMMAD ALI Department of Mathematical Sciences - Yazd University, Yazd, I. R. Iran , NEJATI, RAZEIH Department of Mathematical Sciences - Yazd University, Yazd, I. R. Iran
Abstract :
Let G = (V, E) be a finite and simple graph with λ1, λ2, ⋯ , λn as its
eigenvalues. The Estrada index of G is defined as EE(G) = Σni=1eλi
. A spiro compound is a chemical compound that presents a twisted structure
of two or more rings, in which 2 or 3 rings are linked together by one
common atom. In this paper, we will show that the symmetric and stable
spiro compounds among all spiro compounds have the minimum Estrada
index.
Keywords :
Symmetric Spiro , Estrada index , Spiro compounds
