2020-02-26T04:15:36Z
http://ijmc.kashanu.ac.ir/?_action=export&rf=summon&issue=911
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2014
5
Supplement 1
The First Geometric–Arithmetic Index of Some Nanostar Dendrimers
A.
Madanshekaf
M.
Moradi
Dendrimers are highly branched organic macromolecules with successive layers or generations of branch units surrounding a central core [1,4]. These are key molecules in nanotechnology and can be put to good use. In this article, we compute the first geometricarithmetic index of two infinite classes of dendrimers.
Nanostar dendrimer
The first geometric-arithmetic index
2014
12
01
1
6
http://ijmc.kashanu.ac.ir/article_5541_b9ad2e135053d1febb7d27424326357c.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2014
5
Supplement 1
The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs
Z.
Mehranian
The k-th semi total point graph of a graph G, , is a graph obtained from G by adding k vertices corresponding to each edge and connecting them to the endpoints of edge considered. In this paper, a formula for Laplacian polynomial of in terms of characteristic and Laplacian polynomials of G is computed, where is a connected regular graph.The Kirchhoff index of is also computed.
Resistance distance
Kirchhoff index
Laplacian specturam
Derived graph
2014
12
01
7
15
http://ijmc.kashanu.ac.ir/article_6858_49f40547a27c813e453cdcfff61b24ed.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2014
5
Supplement 1
Flow Polynomial of some Dendrimers
H.
Sharifi
G. H.
Fath-Tabar
Suppose G is an nvertex and medge simple graph with edge set E(G). An integervalued function f: E(G) → Z is called a ﬂow. Tutte was introduced the ﬂow polynomial F(G, λ) as a polynomial in an indeterminate λ with integer coefficients by F(G,λ) In this paper the Flow polynomial of some dendrimers are computed.
Flow polynomial
Dendrimer
Graph
2014
12
01
17
20
http://ijmc.kashanu.ac.ir/article_7591_08263a76931061fd7e4ced581cb66dad.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2014
5
Supplement 1
The Neighbourhood Polynomial of some Nanostructures
S.
Alikhani
E.
Mahmoudi
The neighbourhood polynomial G , is generating function for the number of faces of each cardinality in the neighbourhood complex of a graph. In other word $N(G,x)=sum_{Uin N(G)} x^{|U|}$, where N(G) is neighbourhood complex of a graph, whose vertices are the vertices of the graph and faces are subsets of vertices that have a common neighbour. In this paper we compute this polynomial for some nanostructures.
Neighbourhood Polynomial
Dendrimer nanostar
2014
12
01
21
25
http://ijmc.kashanu.ac.ir/article_7618_915a872c50324158cd249be6c4db13ad.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2014
5
Supplement 1
Perfect Matchings in Edge-Transitive Graphs
A.
Marandi
A.
Nejah
A.
Behmaram
We find recursive formulae for the number of perfect matchings in a graph G by splitting G into subgraphs H and Q. We use these formulas to count perfect matching of P hypercube Qn. We also apply our formulas to prove that the number of perfect matching in an edge-transitive graph is , where denotes the number of perfect matchings in G, is the graph constructed from by deleting edges with an end vertex in {u,v}.
perfect matching
Edge-transitive graph
2014
12
01
27
33
http://ijmc.kashanu.ac.ir/article_7772_6c1386b641e42586265ac97c82fcede7.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2014
5
Supplement 1
The Center and Periphery of Composite Graphs
Z.
Yarahmadi
S.
Moradi
The center (periphery) of a graph is the set of vertices with minimum (maximum) eccentricity. In this paper, the structure of centers and peripheries of some classes of composite graphs are determined. The relations between eccentricity, radius and diameter of such composite graphs are also investigated. As an application we determine the center and periphery of some chemical graphs such as nanotorus and nanotubes covered by C4.
Eccentricity
radius
diameter
Center
periphery
2014
12
01
35
44
http://ijmc.kashanu.ac.ir/article_7773_e1bcc982b7f0fa5c7778485da3528061.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2014
5
Supplement 1
Relation Between Wiener, Szeged and Detour Indices
N.
Azimi
M.
Roumena
M.
Ghorbani
In theoretical chemistry, molecular structure descriptors are used to compute properties of chemical compounds. Among them Wiener, Szeged and detour indices play significant roles in anticipating chemical phenomena. In the present paper, we study these topological indices with respect to their difference number.
Wiener index
Szeged index
Detour index
2014
12
01
45
51
http://ijmc.kashanu.ac.ir/article_7776_399fb4dba96bdfcaab0aa600fba7f2f6.pdf