Chebyshev finite difference method for a two−point boundary value problems with applications to chemical reactor theory
A.
Saadatmandi
University of Kashan
author
M.
Azizi
Shariaty Technical College
author
text
article
2012
eng
In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential equations. A problem arising from chemical reactor theory is then considered. The approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a non-uniform finite difference scheme. The method is computationally attractive and applications are demonstrated through an illustrative example. Also a comparison is made with existing results.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
3
v.
1
no.
2012
1
7
https://ijmc.kashanu.ac.ir/article_5197_e39896886e9c361a7e56fda0b7f221a5.pdf
dx.doi.org/10.22052/ijmc.2012.5197
Study of fullerenes by their algebraic properties
M.
Ghorbani
Shahid Rajaee Teacher Training
University
author
S.
Heidari Rad
Shahid Rajaee Teacher Training
University
author
text
article
2012
eng
The eigenvalues of a graph is the root of its characteristic polynomial. A fullerene F is a 3- connected graphs with entirely 12 pentagonal faces and n/2 -10 hexagonal faces, where n is the number of vertices of F. In this paper we investigate the eigenvalues of a class of fullerene graphs.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
3
v.
1
no.
2012
9
24
https://ijmc.kashanu.ac.ir/article_5198_a8fa41f6fd14aa9bd445b3b2f8726e3b.pdf
dx.doi.org/10.22052/ijmc.2012.5198
On discriminativity of Zagreb indices
T.
Doslic
University of Zagreb
author
text
article
2012
eng
Zagreb indices belong to better known and better researched topological indices. We investigate here their ability to discriminate among benzenoid graphs and arrive at some quite unexpected conclusions. Along the way we establish tight (and sometimes sharp) lower and upper bounds on various classes of benzenoids.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
3
v.
1
no.
2012
25
34
https://ijmc.kashanu.ac.ir/article_5199_c6ae7c7fcc36f66e8bee02e54e98d61a.pdf
dx.doi.org/10.22052/ijmc.2012.5199
Centric connectivity index by shell matrices
M.
Diudea
Babes-Bolyai University
author
text
article
2012
eng
Relative centricity RC values of vertices/atoms are calculated within the Distance Detour and Cluj-Distance criteria on their corresponding Shell transforms. The vertex RC distribution in a molecular graph gives atom equivalence classes, useful in interpretation of NMR spectra. Timed by vertex valences, RC provides a new index, called Centric Connectivity CC, which can be useful in the topological characterization of graphs and in QSAR/QSPR studies.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
3
v.
1
no.
2012
35
43
https://ijmc.kashanu.ac.ir/article_5200_d41d8cd98f00b204e9800998ecf8427e.pdf
dx.doi.org/10.22052/ijmc.2012.5200
Distance-based topological indices of tensor product of graphs
M.
Nadjafi-Arani
University of Kashan
author
H.
Khodashenas
University of Kashan
author
text
article
2012
eng
Let G and H be connected graphs. The tensor product G + H is a graph with vertex set V(G+H) = V (G) X V(H) and edge set E(G + H) ={(a , b)(x , y)| ax ∈ E(G) & by ∈ E(H)}. The graph H is called the strongly triangular if for every vertex u and v there exists a vertex w adjacent to both of them. In this article the tensor product of G + H under some distancebased topological indices are investigated, when H is a strongly triangular graph. As a special case most of results given by Hoji, Luob and Vumara in [Wiener and vertex PI indices of Kronecker products of graphs, Discrete Appl. Math., 158 (2010), 1848-1855] will be deduced.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
3
v.
1
no.
2012
45
53
https://ijmc.kashanu.ac.ir/article_5201_d41d8cd98f00b204e9800998ecf8427e.pdf
dx.doi.org/10.22052/ijmc.2012.5201
On the edge reverse Wiener indices of TUC4C8(S) nanotubes
A.
Mahmiani
Payame Noor University
author
O.
Khormali
Tarbiat Modares University
author
A.
Iranmanesh
Tarbiat Modares University
author
text
article
2012
eng
The edge versions of reverse Wiener indices were introduced by Mahmiani et al. very recently. In this paper, we find their relation with ordinary (vertex) Wiener index in some graphs. Also, we compute them for trees and TUC4C8(s) naotubes.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
3
v.
1
no.
2012
55
65
https://ijmc.kashanu.ac.ir/article_5209_2f3c005d91db72be764cbb2f564ab33e.pdf
dx.doi.org/10.22052/ijmc.2012.5209
Computing the Szeged index of 4,4 ׳-bipyridinium dendrimer
A.
ARJOMANFAR
Shar-e-Ray Branch,Iran
author
N.
GHOLAMI
Islamic Azad University, Izeh Branch, Khouzestan, Iran
author
text
article
2012
eng
Let e be an edge of a G connecting the vertices u and v. Define two sets N1 (e | G) and N2(e |G) as N1(e | G)= {xV(G) d(x,u) d(x,v)} and N2(e | G)= {xV(G) d(x,v) d(x,u) }.The number of elements of N1(e | G) and N2(e | G) are denoted by n1(e | G) and n2(e | G) , respectively. The Szeged index of the graph G is defined as Sz(G) ( ) ( ) 1 2 n e G n e G e E . In this paper we compute the Szeged index of a 4,4 ׳-Bipyridinium dendrimer.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
3
v.
1
no.
2012
67
72
https://ijmc.kashanu.ac.ir/article_5219_15c1f93cb85459d4528af627573c4871.pdf
dx.doi.org/10.22052/ijmc.2012.5219
Some topological indices of graphs and some inequalities
M.
MOGHARRAB
Persian Gulf University, Bushehr, Iran
author
B.
KHEZRI–MOGHADDAM
Payame Noor University, Shiraz,
Iran
author
text
article
2012
eng
Let G be a graph. In this paper, we study the eccentric connectivity index, the new version of the second Zagreb index and the forth geometric–arithmetic index.. The basic properties of these novel graph descriptors and some inequalities for them are established.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
3
v.
1
no.
2012
73
80
https://ijmc.kashanu.ac.ir/article_5220_4344681665ed2139c3c285378453c9ad.pdf
dx.doi.org/10.22052/ijmc.2012.5220
Automatic graph construction of periodic open tubulene ((5,6,7)3) and computation of its Wiener, PI, and Szeged indices
A.
YOOSOFAN
University of Kashan,
Iran
author
M.
NAMAZI−FARD
University of Kashan,
Iran
author
text
article
2012
eng
The mathematical properties of nano molecules are an interesting branch of nanoscience for researches nowadays. The periodic open single wall tubulene is one of the nano molecules which is built up from two caps and a distancing nanotube/neck. We discuss how to automatically construct the graph of this molecule and plot the graph by spring layout algorithm in graphviz and netwrokx packages. The similarity between the shape of this molecule and the plotted graph is a consequence of our work. Furthermore, the Wiener, Szeged and PI indices of this molecule are computed.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
3
v.
1
no.
2012
81
94
https://ijmc.kashanu.ac.ir/article_5221_7e3ced6b5d005ed92da509c1085bd32a.pdf
dx.doi.org/10.22052/ijmc.2012.5221