ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
3
1
2008
5
1
COMPUTING WIENER INDEX OF HAC5C7[p, q] NANOTUBES BY GAP PROGRAM
1
12
EN
A. Iranmanesh
Y. Alizadeh
10.7508/ijmsi.2008.01.001
The Wiener index of a graph Gis defined as W(G) =1/2[Sum(d(i,j)] over all pair of elements of V(G), where V (G) is the set of vertices of G and d(i, j) is the distance between vertices i and j. In this paper, we give an algorithm by GAP program that can be compute the Wiener index for any graph also we compute the Wiener index of HAC5C7[p, q] and HAC5C6C7[p, q] nanotubes by this program.
Nanotube, Wiener Index, Adjacent Vertices.
http://ijmsi.ir/article-1-40-en.html
http://ijmsi.ir/article-1-40-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
3
1
2008
5
1
Nonrigid Group Theory of Water Clusters ( Cyclic Forms): (H2O)i for 2<=i<=6
13
30
EN
M. Dabirian
A. Iranmanesh
10.7508/ijmsi.2008.01.002
The character table of the fully nonrigid water cluster (cyclic forms), (H_{2}O){_i}, with C{_ih} symmetry derived for the first time, for 2<=i <=6. The group of all feasible permutations is the wreath product of groups S{_i}[S{_2}] which consists of i!2i operations for i = 2, ..., 6 divided into ( w.r.t) 5, 10, 20, 36, 65 conjugacy classes and 5, 10, 20, 36, 65 irreducible representations respectively. We compute the full character table of (H{_2}O){_2}, (H{_2}O){_3}, (H{_2}O){_4}, (H{_2}O){_5} and (H{_2}O){_6}.
Nonrigid Group Theory, Symmetry, Wreath Product, Conjugacy Classes, Character Table, Water Cluster.
http://ijmsi.ir/article-1-41-en.html
http://ijmsi.ir/article-1-41-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
3
1
2008
5
1
Edge-Szeged and vertex-PIindices of Some Benzenoid Systems
31
39
EN
Z. Bagheri
A. Mahmiani
O. Khormali
10.7508/ijmsi.2008.01.003
The edge version of Szeged index and vertex version of PI index are defined very recently. They are similar to edge-PI and vertex-Szeged indices, respectively. The different versions of Szeged and PIindices are the most important topological indices defined in Chemistry. In this paper, we compute the edge-Szeged and vertex-PIindices of some important classes of benzenoid systems.
Edge and Vertex-Szeged indices, Edge and Vertex-PI indices, Benzenoid Systems.
http://ijmsi.ir/article-1-42-en.html
http://ijmsi.ir/article-1-42-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
3
1
2008
5
1
The Merrifield-Simmons indices and Hosoya indices of some classes of cartesian graph product
41
48
EN
M. Sabzevari
H. R. Maimani
10.7508/ijmsi.2008.01.004
The Merrifield-Simmons index of a graph is defined as the total number of the independent sets of the graph and the Hosoya index of a graph is defined as the total number of the matchings of the graph. In this paper, we give formula for Merrifield-Simmons and Hosoya indices of some classes of cartesian product of two graphs K{_2}×H, where H is a path graph P{_n}, cyclic graph C{_n}, or star graph S{_n}, with n vertices (These are called: ladder graph, prism graph, and book graph).
Merrifield-Simmons index, Hosoya index, Cartesian graph product, Ladder graph, Prism graph.
http://ijmsi.ir/article-1-43-en.html
http://ijmsi.ir/article-1-43-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
3
1
2008
5
1
Vertex-PI Index of Some Nanotubes
49
62
EN
A. Sousaraei
A. Mahmiani
O. Khormali
10.7508/ijmsi.2008.01.005
The vertex version of PI index is a molecular structure descriptor which is similar to vertex version of Szeged index. In this paper, we compute the vertex-PI index of TUC4C8(S), TUC4C8(R) and HAC5C7[r, p].
Vertex-PI Index, Vertex-Szeged index, Molecular Graph, Nanotubes.
http://ijmsi.ir/article-1-44-en.html
http://ijmsi.ir/article-1-44-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
3
1
2008
5
1
Some implementation aspects of the general linear methods withinherent Runge-Kutta stability
63
76
EN
P. Mokhtary
S. M. Hosseini
10.7508/ijmsi.2008.01.006
In this paper we try to put different practical aspects of the general linear methods discussed in the papers [1,6,7] under one algorithm to show more details of its implementation. With a proposed initial step size strategy this algorithm shows a better performance in some problems. To illustrate the efficiency of the method we consider some standard test problems and report more useful details of step size and order changes, and number of rejected and accepted steps along with relative global errors.
General linear methods, Variable step size, Inherent Runge-Kutta stability, Error estimation.
http://ijmsi.ir/article-1-45-en.html
http://ijmsi.ir/article-1-45-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
3
1
2008
5
1
A fuzzy production model with probabilistic resalable returns
77
86
EN
A.Nagoorgani
P. Palaniammal
10.7508/ijmsi.2008.01.007
In this paper, a fuzzy production inventory model with resalable returns has been analysed in an imprecise and uncertain environment by considering the cost and revenue parameters as trapezoidal fuzzy numbers. The main objective is to determine the optimal fuzzy production lotsize which maximizes the expected profit where the products leftout at the end of the period are salvaged and demands which are not met directly are lost. The modified graded mean integration epresentation method is used for defuzzification of fuzzy parameters of production lotsize and expected profit. An example is presented to illustrate the method applied in the model.
Fuzzy production model, Fuzzy random variable, Modified graded mean integration representation, Returned resalable products, Trapezoidal fuzzy numbers.
http://ijmsi.ir/article-1-46-en.html
http://ijmsi.ir/article-1-46-en.pdf