ORIGINAL_ARTICLE
A Survey on Omega Polynomial of Some Nano Structures
https://ijmc.kashanu.ac.ir/article_5136_c65ae1dfbe42970a246d14f5019602b5.pdf
2011-12-01T11:23:20
2020-08-12T11:23:20
1
65
10.22052/ijmc.2011.5136
Omega polynomial
Sadhana polynomial
Fullerene
Nanotube
M.
Ghorbani
mghorbani@sru.ac.ir
true
1
Shahid Rajaee Teacher Training
University, I. R. Iran
Shahid Rajaee Teacher Training
University, I. R. Iran
Shahid Rajaee Teacher Training
University, I. R. Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Remarks on Distance-Balanced Graphs
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.
https://ijmc.kashanu.ac.ir/article_5176_4ff1f772bd82877d5ad994685fccba27.pdf
2011-12-01T11:23:20
2020-08-12T11:23:20
67
71
10.22052/ijmc.2011.5176
Distance-balanced graphs
Graph operation
M.
TAVAKOLI
true
1
University of Tehran,
I. R. Iran
University of Tehran,
I. R. Iran
University of Tehran,
I. R. Iran
AUTHOR
H.
YOUSEFI-AZARI
true
2
University of Tehran,
I. R. Iran
University of Tehran,
I. R. Iran
University of Tehran,
I. R. Iran
AUTHOR
ORIGINAL_ARTICLE
Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs
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.
https://ijmc.kashanu.ac.ir/article_5177_d41d8cd98f00b204e9800998ecf8427e.pdf
2011-12-01T11:23:20
2020-08-12T11:23:20
73
78
10.22052/ijmc.2011.5177
Zagreb polynomial
Zagreb index
Graph
A.
ASTANEH-ASL
true
1
Islamic Azad University, Arak Branch,
I. R. Iran
Islamic Azad University, Arak Branch,
I. R. Iran
Islamic Azad University, Arak Branch,
I. R. Iran
AUTHOR
GH.
FATH-TABAR
true
2
University of Kashan,
I. R. Iran
University of Kashan,
I. R. Iran
University of Kashan,
I. R. Iran
AUTHOR
ORIGINAL_ARTICLE
Wiener Index of a New Type of Nanostar Dendrimer
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.
https://ijmc.kashanu.ac.ir/article_5215_7a81c85f695366a2e5f4ab1b29d769cf.pdf
2011-12-01T11:23:20
2020-08-12T11:23:20
79
85
10.22052/ijmc.2011.5215
Nanostar dendrimer
Molecular Graph
Wiener index
Z.
SADRI IRANI
true
1
Islamic Azad University, Falavarjan
Branch, I. R. Iran
Islamic Azad University, Falavarjan
Branch, I. R. Iran
Islamic Azad University, Falavarjan
Branch, I. R. Iran
AUTHOR
A.
KARBASIOUN
true
2
Islamic Azad University, Falavarjan
Branch, I. R. Iran
Islamic Azad University, Falavarjan
Branch, I. R. Iran
Islamic Azad University, Falavarjan
Branch, I. R. Iran
AUTHOR
ORIGINAL_ARTICLE
PI, Szeged and Revised Szeged Indices of IPR Fullerenes
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.
https://ijmc.kashanu.ac.ir/article_5216_10b5e3c03aaf7c3c4ca5df6cd7061d00.pdf
2011-12-01T11:23:20
2020-08-12T11:23:20
87
99
10.22052/ijmc.2011.5216
IPR fullerene
Szeged index
Revised Szeged index
PI index
A.
MOTTAGHI
true
1
University of Kashan,
I. R. Iran
University of Kashan,
I. R. Iran
University of Kashan,
I. R. Iran
AUTHOR
Z.
MEHRANIAN
true
2
University of Kashan,
I. R. Iran
University of Kashan,
I. R. Iran
University of Kashan,
I. R. Iran
AUTHOR
ORIGINAL_ARTICLE
A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes
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.
https://ijmc.kashanu.ac.ir/article_5217_cf559f5adb428efd20c49b760ad4806e.pdf
2011-12-01T11:23:20
2020-08-12T11:23:20
101
108
10.22052/ijmc.2011.5217
Geometric-arithmetic index
Hexagonal system
Phenylenes
Z.
YARAHMADI
true
1
Khorramabad Branch, Islamic Azad University,
I. R. Iran
Khorramabad Branch, Islamic Azad University,
I. R. Iran
Khorramabad Branch, Islamic Azad University,
I. R. Iran
AUTHOR
ORIGINAL_ARTICLE
Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube
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.
https://ijmc.kashanu.ac.ir/article_5218_e20ba02b0ff4677db54b056651f64a57.pdf
2011-12-01T11:23:20
2020-08-12T11:23:20
109
117
10.22052/ijmc.2011.5218
GA Index
V–phenylenic nanotube
S.
MORADI
true
1
Arak University,
I. R. Iran
Arak University,
I. R. Iran
Arak University,
I. R. Iran
AUTHOR
S.
BABARAHIM
true
2
Arak University,
I. R. Iran
Arak University,
I. R. Iran
Arak University,
I. R. Iran
AUTHOR
M.
GHORBANI
true
3
Shahid Rajaee Teacher Training
University, I. R. Iran
Shahid Rajaee Teacher Training
University, I. R. Iran
Shahid Rajaee Teacher Training
University, I. R. Iran
AUTHOR