ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
3
1
2008
5
1
COMPUTING WIENER INDEX OF HAC5C7[p, q] NANOTUBES BY GAP PROGRAM
1
12
EN
A. Iranmanesh
Y. Alizadeh
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
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
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}.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
3
1
2008
5
1
Edge-Szeged and vertex-PIindices of Some Benzenoid Systems
31
39
EN
Z. Bagheri
A. Mahmiani
O. Khormali
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
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
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).
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
3
1
2008
5
1
Vertex-PI Index of Some Nanotubes
49
62
EN
A. Sousaraei
A. Mahmiani
O. Khormali
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].
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
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
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
3
1
2008
5
1
A fuzzy production model with probabilistic resalable returns
77
86
EN
A.Nagoorgani
P. Palaniammal
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.