2018-12-11T06:58:27Z
http://jmathnano.sru.ac.ir/?_action=export&rf=summon&issue=169
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2017
7
2
On borderenergetic and L-borderenergetic graphs
Mardjan
Hakimi-Nezhaad
A graph G of order n is said to be borderenergetic if its energy is equal to 2n − 2. In this paper, we study the borderenergetic and Laplacian borderenergetic graphs.
energy (of graph)
adjacency matrix
Laplacian matrix
signless Laplacian matrix
2017
12
01
71
77
http://jmathnano.sru.ac.ir/article_513_e93b254f3bb974fd3d9d566269730f04.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2017
7
2
On the modified Wiener number
Maryam
Jalali Rad
The Graovac-Pisanski index is defined in 1991 namely 56 years after the definition of Wiener index by Graovac and Pisanski. They called it as modified Wiener index based on the sum of distances between all the pairs α(u,α(u)) where α stands in the automorphism group of given graph. In this paper, we compute the Graovac-Pisanski index of some classes of graphs.
2017
12
01
79
83
http://jmathnano.sru.ac.ir/article_512_4cb22d3564fa9bcb9250b4c8dacf41ac.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2017
7
2
Sanskruti index of bridge graph and some nanocones
K
Pattabiraman
Sanskruti index is the important topological index used to test the chemical properties of chemical comopounds. In this paper, first we obtain the formulae for calculating the Sanskruti index of bridge graph and carbon nanocones CNCn(k). In addition, Sanskruti index of the Line graph of CNCk[n] nanocones are obtained.
Sanskruti index
bridge graph
carbon nanocones
2017
12
01
85
95
http://jmathnano.sru.ac.ir/article_707_cd8b6a11d8861630dce00cce8e14f068.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2017
7
2
The Wiener and Szeged indices of hexagonal cored dendrimers
Abbas
Heydari
A topological index of a molecule graph G is a real number which is invariant under graph isomorphism. The Wiener and Szeged indices are two important distance based topological indices applicable in nanoscience. In this paper, these topological indices is computed for hexagonal cored dendrimers.
Wiener index
Szeged index
Dendrimers
nanoparticles
2017
12
01
97
101
http://jmathnano.sru.ac.ir/article_741_23f9998233252ea7874a727ab592643c.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2017
7
2
Study of inverse sum indeg index
Marzieh
Hasani
Let $MG(i,n)$ $(1leq i leq 3)$ denote to the class of all $n$-vertex molecular graphs with minimum degree $ i$. The inverse sum indeg index of a graph is defined as $ISI=sum_{uvin E(G)} d_ud_v/(d_u+d_v)$, where $ d_{u}$ denotes to the degree of vertex $ u$. In this paper, we propose some extremal molecular graphs with the minimum and the maximum value of inverse sum indeg index in $MG(i,n)$.
2017
12
01
103
109
http://jmathnano.sru.ac.ir/article_748_fa5e1b4c717655e7c63778f623e327fc.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2017
7
2
A note on the entropy of graphs
Samaneh
Zangi
A useful tool for investigation various problems in mathematical chemistry and computational physics is graph entropy. In this paper, we introduce a new version of graph entropy and then we determine it for some classes of graphs.
graph eigenvalues
entropy
regular graph
2017
12
01
111
115
http://jmathnano.sru.ac.ir/article_749_8a904083c382def25280394c40b316b7.pdf