University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
5
Supplement 1
2014
12
01
The First Geometric–Arithmetic Index of Some Nanostar Dendrimers
1
6
EN
A.
Madanshekaf
Semnan University
amadanshekaf@semnan.ac.ir
M.
Moradi
Semnan University
10.22052/ijmc.2014.5541
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
https://ijmc.kashanu.ac.ir/article_5541.html
https://ijmc.kashanu.ac.ir/article_5541_b9ad2e135053d1febb7d27424326357c.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
5
Supplement 1
2014
12
01
The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs
7
15
EN
Z.
Mehranian
Department of Mathematics, University of Qom, Qom, Iran
mehranian.z@gmail.com
10.22052/ijmc.2014.6858
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
https://ijmc.kashanu.ac.ir/article_6858.html
https://ijmc.kashanu.ac.ir/article_6858_49f40547a27c813e453cdcfff61b24ed.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
5
Supplement 1
2014
12
01
Flow Polynomial of some Dendrimers
17
20
EN
H.
Sharifi
Islamic Azad University
sharifi_h@iust.ac.ir
G. H.
Fath-Tabar
University of Kashan
gh.fathtabar@gmail.com
10.22052/ijmc.2014.7591
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
https://ijmc.kashanu.ac.ir/article_7591.html
https://ijmc.kashanu.ac.ir/article_7591_08263a76931061fd7e4ced581cb66dad.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
5
Supplement 1
2014
12
01
The Neighbourhood Polynomial of some Nanostructures
21
25
EN
S.
Alikhani
0000-0002-1801-203X
Yazd University
alikhani206@gmail.com
E.
Mahmoudi
Yazd University
emahmoudi@yazd.ac.ir
10.22052/ijmc.2014.7618
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
https://ijmc.kashanu.ac.ir/article_7618.html
https://ijmc.kashanu.ac.ir/article_7618_915a872c50324158cd249be6c4db13ad.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
5
Supplement 1
2014
12
01
Perfect Matchings in Edge-Transitive Graphs
27
33
EN
A.
Marandi
University of Tehran
A.
H.
Nejah
University of Tehran
A.
Behmaram
University of Tabriz
behmarammath@gmail.com
10.22052/ijmc.2014.7772
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
https://ijmc.kashanu.ac.ir/article_7772.html
https://ijmc.kashanu.ac.ir/article_7772_6c1386b641e42586265ac97c82fcede7.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
5
Supplement 1
2014
12
01
The Center and Periphery of Composite Graphs
35
44
EN
Z.
Yarahmadi
Islamic Azad University
z.yarahmadi@gmail.com
S.
Moradi
Arak Unversity
sirousmoradi@gmail.com
10.22052/ijmc.2014.7773
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
https://ijmc.kashanu.ac.ir/article_7773.html
https://ijmc.kashanu.ac.ir/article_7773_e1bcc982b7f0fa5c7778485da3528061.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
5
Supplement 1
2014
12
01
Relation Between Wiener, Szeged and Detour Indices
45
51
EN
N.
Azimi
Srtt Univ.
ghorbani30@gmail.com
M.
Roumena
Srtt Univ.
modjtaba.ghorbani@gmail.com
M.
Ghorbani
Department of mathematics, Shahid Rajaee Teacher Training University
mghorbani@sru.ac.ir
10.22052/ijmc.2014.7776
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
https://ijmc.kashanu.ac.ir/article_7776.html
https://ijmc.kashanu.ac.ir/article_7776_399fb4dba96bdfcaab0aa600fba7f2f6.pdf