A Survey on Omega Polynomial of Some Nano Structures
M.
Ghorbani
Shahid Rajaee Teacher Training
University, I. R. Iran
author
text
article
2011
eng
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
2
no.
2011
1
65
http://ijmc.kashanu.ac.ir/article_5136_c65ae1dfbe42970a246d14f5019602b5.pdf
dx.doi.org/10.22052/ijmc.2011.5136
Remarks on Distance-Balanced Graphs
M.
TAVAKOLI
University of Tehran,
I. R. Iran
author
H.
YOUSEFI-AZARI
University of Tehran,
I. R. Iran
author
text
article
2011
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
2
no.
2011
67
71
http://ijmc.kashanu.ac.ir/article_5176_4ff1f772bd82877d5ad994685fccba27.pdf
dx.doi.org/10.22052/ijmc.2011.5176
Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs
A.
ASTANEH-ASL
Islamic Azad University, Arak Branch,
I. R. Iran
author
GH.
FATH-TABAR
University of Kashan,
I. R. Iran
author
text
article
2011
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
2
no.
2011
73
78
http://ijmc.kashanu.ac.ir/article_5177_d41d8cd98f00b204e9800998ecf8427e.pdf
dx.doi.org/10.22052/ijmc.2011.5177
Wiener Index of a New Type of Nanostar Dendrimer
Z.
SADRI IRANI
Islamic Azad University, Falavarjan
Branch, I. R. Iran
author
A.
KARBASIOUN
Islamic Azad University, Falavarjan
Branch, I. R. Iran
author
text
article
2011
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
2
no.
2011
79
85
http://ijmc.kashanu.ac.ir/article_5215_7a81c85f695366a2e5f4ab1b29d769cf.pdf
dx.doi.org/10.22052/ijmc.2011.5215
PI, Szeged and Revised Szeged Indices of IPR Fullerenes
A.
MOTTAGHI
University of Kashan,
I. R. Iran
author
Z.
MEHRANIAN
University of Kashan,
I. R. Iran
author
text
article
2011
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
2
no.
2011
87
99
http://ijmc.kashanu.ac.ir/article_5216_10b5e3c03aaf7c3c4ca5df6cd7061d00.pdf
dx.doi.org/10.22052/ijmc.2011.5216
A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes
Z.
YARAHMADI
Khorramabad Branch, Islamic Azad University,
I. R. Iran
author
text
article
2011
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
2
no.
2011
101
108
http://ijmc.kashanu.ac.ir/article_5217_cf559f5adb428efd20c49b760ad4806e.pdf
dx.doi.org/10.22052/ijmc.2011.5217
Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube
S.
MORADI
Arak University,
I. R. Iran
author
S.
BABARAHIM
Arak University,
I. R. Iran
author
M.
GHORBANI
Shahid Rajaee Teacher Training
University, I. R. Iran
author
text
article
2011
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
2
no.
2011
109
117
http://ijmc.kashanu.ac.ir/article_5218_e20ba02b0ff4677db54b056651f64a57.pdf
dx.doi.org/10.22052/ijmc.2011.5218