On borderenergetic and L-borderenergetic graphs
Mardjan
Hakimi-Nezhaad
Department of Mathematics, Shahid Rajaee Teacher Training University
author
text
article
2017
eng
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.
Journal of Mathematical Nanoscience
Shahid Rajaee Teacher Training University
2538-2314
7
v.
2
no.
2017
71
77
http://jmathnano.sru.ac.ir/article_513_e93b254f3bb974fd3d9d566269730f04.pdf
dx.doi.org/10.22061/jmns.2017.513
On the modified Wiener number
Maryam
Jalali Rad
Department of Mathematics, University of Kashan
author
text
article
2017
eng
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.
Journal of Mathematical Nanoscience
Shahid Rajaee Teacher Training University
2538-2314
7
v.
2
no.
2017
79
83
http://jmathnano.sru.ac.ir/article_512_4cb22d3564fa9bcb9250b4c8dacf41ac.pdf
dx.doi.org/10.22061/jmns.2017.512
Sanskruti index of bridge graph and some nanocones
K
Pattabiraman
Department of Mathematics, Annamalai University, Annamalainagar 608 002, India
author
text
article
2017
eng
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.
Journal of Mathematical Nanoscience
Shahid Rajaee Teacher Training University
2538-2314
7
v.
2
no.
2017
85
95
http://jmathnano.sru.ac.ir/article_707_cd8b6a11d8861630dce00cce8e14f068.pdf
The Wiener and Szeged indices of hexagonal cored dendrimers
Abbas
Heydari
Arak University
author
text
article
2017
eng
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.
Journal of Mathematical Nanoscience
Shahid Rajaee Teacher Training University
2538-2314
7
v.
2
no.
2017
97
101
http://jmathnano.sru.ac.ir/article_741_23f9998233252ea7874a727ab592643c.pdf
dx.doi.org/10.22061/jmns.2017.741
Study of inverse sum indeg index
Marzieh
Hasani
Departmnet of Mathematics, SRTT University
author
text
article
2017
eng
Let $MG(i,n)$ $(1\leq i \leq 3)$ 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 $ISI=\sum_{uv\in E(G)} d_ud_v/(d_u+d_v)$, 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 $MG(i,n)$.
Journal of Mathematical Nanoscience
Shahid Rajaee Teacher Training University
2538-2314
7
v.
2
no.
2017
103
109
http://jmathnano.sru.ac.ir/article_748_fa5e1b4c717655e7c63778f623e327fc.pdf
dx.doi.org/10.22061/jmns.2017.748
A note on the entropy of graphs
Samaneh
Zangi
Department of Mathematics, Shahid Rajaee Teacher Training University
author
text
article
2017
eng
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.
Journal of Mathematical Nanoscience
Shahid Rajaee Teacher Training University
2538-2314
7
v.
2
no.
2017
111
115
http://jmathnano.sru.ac.ir/article_749_8a904083c382def25280394c40b316b7.pdf
dx.doi.org/10.22061/jmns.2017.749