2018-12-11T07:00:09Z
http://jmathnano.sru.ac.ir/?_action=export&rf=summon&issue=112
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2014
4
1-2
On the spectrum of Cayley graphs via character table
Farzaneh
Nowroozi
Modjtaba
Ghorbani
A Cayley graph can be consider as an interpretation of group representation. This means that one can construct the Cayley graph Г = Cay(G, S) by having the vertex set to be the elements of G with g~h if and only if hg-1 ε S. In this paper, we focus our attention on Cayley graphs with a normal symmetric subset. We also determine all eigenvalues of Buckminster fullerene by constructing Cay(G,S) where G is the alternating group A5.
eigenvalue
Cayley graph
characteristic polynomial
2014
06
01
1
11
http://jmathnano.sru.ac.ir/article_477_166922038b274bc7128566c1e2ce4b98.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2014
4
1-2
Augmented eccentric connectivity index of Fullerenes
Reza
Sharafdini
Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The augmented eccentric connectivity index of graph G is defined as £(G)=∑u εV(G)M(u)ε(u)-1, where ε(u) is defined as the length of a maximal path connecting u to another vertex of G and M(u) denotes the product of degrees of all eighbors of vertex u. In the present paper , we compute the augmented eccentric connectivity index of two classes of fullerenes C12n+2 and C20n+40.
Augmented eccentric connectivity index
eccentricity
Fullerene graphs
2014
06
01
13
18
http://jmathnano.sru.ac.ir/article_478_800b8677745303e8ee086eaa27425650.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2014
4
1-2
Differences between Wiener and modified Wiener indices
Mardjan
Hakimi-Nezhaad
Modjtaba
Ghorbani
The Wiener index is the oldest topological index introduced by H. Wiener for anticipating the boiling point of Paraffin and some other alkenes. An algebraic approach for generalizing the Wiener index is proposed by Graovac and Pisanski for the first time. In this paper, we compute the difference between these topological indices for a class of fullerene graphs.
Wiener index
Molecular graph
automorphism of graph
2014
06
01
19
25
http://jmathnano.sru.ac.ir/article_479_3b5f1f807f52f598f7054c36fd451058.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2014
4
1-2
Computing the energy of small fullerenes
Tayebeh
Ghorbani
The concept of energy of graph is defined in 1978 by Ivan Gutman as the sum of the absolute values of the eigenvalues of a graph. In this article we estimate the energy of small fullerenes.
eigenvalue
fullerene
graph energy
2014
06
01
27
36
http://jmathnano.sru.ac.ir/article_481_ad953d6c600cc97fbb128a5a439ce631.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2014
4
1-2
On the Zagreb indices of overfull molecular graphs
Maryam
Jalali-Rad
Let G be a connected graph on n vertices. An overfull graph is a graph whose number of its edges is greater than Δ × [n/2], where Δ is the maximum degree of vertices in G. In this paper, we compute the Zagreb indices of overfull molecular graphs.
overfull graph
Zagreb indices
Molecular graph
2014
06
01
37
44
http://jmathnano.sru.ac.ir/article_482_989e2f8c1e53a06f95bc290282b465f4.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2014
4
1-2
Spectral properties of some matrices related to topological indices
Samaneh
Zangi
A topological index is a kind of molecular descriptor which anticipates some properties of chemical compound. The aim of this paper is to compute the spectrum of PA adjacency matrix associated to a well-known topological index.
spectrum of graph
topological index
adjacency matrix
2014
06
18
45
50
http://jmathnano.sru.ac.ir/article_668_e939142adc188a0351eb71391bf9ea23.pdf