2020-08-12T08:38:23Z
https://ijmc.kashanu.ac.ir/?_action=export&rf=summon&issue=860
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
2
A Survey on Omega Polynomial of Some Nano Structures
M.
Ghorbani
Omega polynomial
Sadhana polynomial
Fullerene
Nanotube
2011
12
01
1
65
https://ijmc.kashanu.ac.ir/article_5136_c65ae1dfbe42970a246d14f5019602b5.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
2
Remarks on Distance-Balanced Graphs
M.
TAVAKOLI
H.
YOUSEFI-AZARI
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
2011
12
01
67
71
https://ijmc.kashanu.ac.ir/article_5176_4ff1f772bd82877d5ad994685fccba27.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
2
Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs
A.
ASTANEH-ASL
GH.
FATH-TABAR
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
2011
12
01
73
78
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
2
Wiener Index of a New Type of Nanostar Dendrimer
Z.
SADRI IRANI
A.
KARBASIOUN
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
2011
12
01
79
85
https://ijmc.kashanu.ac.ir/article_5215_7a81c85f695366a2e5f4ab1b29d769cf.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
2
PI, Szeged and Revised Szeged Indices of IPR Fullerenes
A.
MOTTAGHI
Z.
MEHRANIAN
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
2011
12
01
87
99
https://ijmc.kashanu.ac.ir/article_5216_10b5e3c03aaf7c3c4ca5df6cd7061d00.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
2
A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes
Z.
YARAHMADI
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
2011
12
01
101
108
https://ijmc.kashanu.ac.ir/article_5217_cf559f5adb428efd20c49b760ad4806e.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
2
Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube
S.
MORADI
S.
BABARAHIM
M.
GHORBANI
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
2011
12
01
109
117
https://ijmc.kashanu.ac.ir/article_5218_e20ba02b0ff4677db54b056651f64a57.pdf