eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-12-01
2
2
1
65
10.22052/ijmc.2011.5136
5136
A Survey on Omega Polynomial of Some Nano Structures
M. Ghorbani
mghorbani@srttu.edu
1
Shahid Rajaee Teacher Training University, I. R. Iran
http://ijmc.kashanu.ac.ir/article_5136_c65ae1dfbe42970a246d14f5019602b5.pdf
Omega polynomial
Sadhana polynomial
Fullerene
Nanotube
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-12-01
2
2
67
71
10.22052/ijmc.2011.5176
5176
Remarks on Distance-Balanced Graphs
M. TAVAKOLI
1
H. YOUSEFI-AZARI
2
University of Tehran, I. R. Iran
University of Tehran, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5176_4ff1f772bd82877d5ad994685fccba27.pdf
Distance-balanced graphs
Graph operation
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-12-01
2
2
73
78
10.22052/ijmc.2011.5177
5177
Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs
A. ASTANEH-ASL
1
GH. FATH-TABAR
2
Islamic Azad University, Arak Branch, I. R. Iran
University of Kashan, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5177_d41d8cd98f00b204e9800998ecf8427e.pdf
Zagreb polynomial
Zagreb index
graph
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-12-01
2
2
79
85
10.22052/ijmc.2011.5215
5215
Wiener Index of a New Type of Nanostar Dendrimer
Z. SADRI IRANI
1
A. KARBASIOUN
2
Islamic Azad University, Falavarjan Branch, I. R. Iran
Islamic Azad University, Falavarjan Branch, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5215_7a81c85f695366a2e5f4ab1b29d769cf.pdf
Nanostar dendrimer
Molecular graph
Wiener index
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-12-01
2
2
87
99
10.22052/ijmc.2011.5216
5216
PI, Szeged and Revised Szeged Indices of IPR Fullerenes
A. MOTTAGHI
1
Z. MEHRANIAN
2
University of Kashan, I. R. Iran
University of Kashan, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5216_10b5e3c03aaf7c3c4ca5df6cd7061d00.pdf
IPR fullerene
Szeged index
Revised Szeged index
PI index
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-12-01
2
2
101
108
10.22052/ijmc.2011.5217
5217
A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes
Z. YARAHMADI
1
Khorramabad Branch, Islamic Azad University, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5217_cf559f5adb428efd20c49b760ad4806e.pdf
Geometric-arithmetic index
Hexagonal system
Phenylenes
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-12-01
2
2
109
117
10.22052/ijmc.2011.5218
5218
Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube
S. MORADI
1
S. BABARAHIM
2
M. GHORBANI
3
Arak University, I. R. Iran
Arak University, I. R. Iran
Shahid Rajaee Teacher Training University, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5218_e20ba02b0ff4677db54b056651f64a57.pdf
GA Index
V–phenylenic nanotube