University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2
2
2011
12
01
A Survey on Omega Polynomial of Some Nano Structures
1
65
EN
M.
Ghorbani
Shahid Rajaee Teacher Training
University, I. R. Iran
mghorbani@sru.ac.ir
10.22052/ijmc.2011.5136
Omega polynomial,Sadhana polynomial,Fullerene,Nanotube
https://ijmc.kashanu.ac.ir/article_5136.html
https://ijmc.kashanu.ac.ir/article_5136_c65ae1dfbe42970a246d14f5019602b5.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2
2
2011
12
01
Remarks on Distance-Balanced Graphs
67
71
EN
M.
TAVAKOLI
University of Tehran,
I. R. Iran
H.
YOUSEFI-AZARI
University of Tehran,
I. R. Iran
10.22052/ijmc.2011.5176
Distance-balanced graphs are introduced as graphs in which every edge uv has the following property: the number of vertices closer to u than to v is equal to the number of vertices closer to v than to u. Basic properties of these graphs are obtained. In this paper, we study the conditions under which some graph operations produce a distance-balanced graph.
Distance-balanced graphs,Graph operation
https://ijmc.kashanu.ac.ir/article_5176.html
https://ijmc.kashanu.ac.ir/article_5176_4ff1f772bd82877d5ad994685fccba27.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2
2
2011
12
01
Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs
73
78
EN
A.
ASTANEH-ASL
Islamic Azad University, Arak Branch,
I. R. Iran
GH.
H.
FATH-TABAR
University of Kashan,
I. R. Iran
10.22052/ijmc.2011.5177
Let G be a graph. The first Zagreb polynomial M1(G, x) and the third Zagreb polynomial M3(G, x) of the graph G are defined as: ( ) ( , ) [ ] e uv E G G x x d(u) + d(v) M1 , ( , ) euvE(G) G x x|d(u) - d(v)| M3 . In this paper, we compute the first and third Zagreb polynomials of Cartesian product of two graphs and a type of dendrimers.
Zagreb polynomial,Zagreb index,Graph
https://ijmc.kashanu.ac.ir/article_5177.html
https://ijmc.kashanu.ac.ir/article_5177_d41d8cd98f00b204e9800998ecf8427e.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2
2
2011
12
01
Wiener Index of a New Type of Nanostar Dendrimer
79
85
EN
Z.
SADRI IRANI
Islamic Azad University, Falavarjan
Branch, I. R. Iran
A.
KARBASIOUN
Islamic Azad University, Falavarjan
Branch, I. R. Iran
10.22052/ijmc.2011.5215
Let G be a molecular graph. The Wiener index of G is defined as the summation of all distances between vertices of G. In this paper, an exact formula for the Wiener index of a new type of nanostar dendrimer is given.
Nanostar dendrimer,Molecular Graph,Wiener index
https://ijmc.kashanu.ac.ir/article_5215.html
https://ijmc.kashanu.ac.ir/article_5215_7a81c85f695366a2e5f4ab1b29d769cf.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2
2
2011
12
01
PI, Szeged and Revised Szeged Indices of IPR Fullerenes
87
99
EN
A.
MOTTAGHI
University of Kashan,
I. R. Iran
Z.
MEHRANIAN
University of Kashan,
I. R. Iran
10.22052/ijmc.2011.5216
In this paper PI, Szeged and revised Szeged indices of an infinite family of IPR fullerenes with exactly 60+12n carbon atoms are computed. A GAP program is also presented that is useful for our calculations.
IPR fullerene,Szeged index,Revised Szeged index,PI index
https://ijmc.kashanu.ac.ir/article_5216.html
https://ijmc.kashanu.ac.ir/article_5216_10b5e3c03aaf7c3c4ca5df6cd7061d00.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2
2
2011
12
01
A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes
101
108
EN
Z.
YARAHMADI
Khorramabad Branch, Islamic Azad University,
I. R. Iran
10.22052/ijmc.2011.5217
The first geometric-arithmetic index was introduced in the chemical theory as the summation of 2 du dv /(du dv ) overall edges of the graph, where du stand for the degree of the vertex u. In this paper we give the expressions for computing the first geometric-arithmetic index of hexagonal systems and phenylenes and present new method for describing hexagonal system by corresponding a simple graph to each hexagonal system.
Geometric-arithmetic index,Hexagonal system,Phenylenes
https://ijmc.kashanu.ac.ir/article_5217.html
https://ijmc.kashanu.ac.ir/article_5217_cf559f5adb428efd20c49b760ad4806e.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2
2
2011
12
01
Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube
109
117
EN
S.
MORADI
Arak University,
I. R. Iran
S.
BABARAHIM
Arak University,
I. R. Iran
M.
GHORBANI
Shahid Rajaee Teacher Training
University, I. R. Iran
10.22052/ijmc.2011.5218
The concept of geometric-arithmetic indices was introduced in the chemical graph theory. These indices are defined by the following general formula: ( ) 2 ( ) uv E G u v u v Q Q Q Q GA G , where Qu is some quantity that in a unique manner can be associated with the vertex u of graph G. In this paper the exact formula for two types of geometric-arithmetic index of Vphenylenic nanotube are given.
GA Index,V–phenylenic nanotube
https://ijmc.kashanu.ac.ir/article_5218.html
https://ijmc.kashanu.ac.ir/article_5218_e20ba02b0ff4677db54b056651f64a57.pdf