Autobiography of Roberto Todeschini
R.
Todeschini
Milano Chemometrics and QSAR Research Group
author
text
article
2017
eng
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
8
v.
2
no.
2017
93
105
http://ijmc.kashanu.ac.ir/article_43095_78e2c881908fd9bfd878384c407bbd0d.pdf
dx.doi.org/10.22052/ijmc.2017.43095
A novel topological descriptor based on the expanded wiener index: Applications to QSPR/QSAR studies
A.
Mohajeri
Shiraz University
author
P.
Manshour
Persian Gulf University
author
M.
Mousaee
Shiraz University
author
text
article
2017
eng
In this paper, a novel topological index, named M-index, is introduced based on expanded form of the Wiener matrix. For constructing this index the atomic characteristics and the interaction of the vertices in a molecule are taken into account. The usefulness of the M-index is demonstrated by several QSPR/QSAR models for different physico-chemical properties and biological activities of a large number of diversified compounds. Moreover, the applicability of the proposed index has been checked among isomeric compounds. In each case the stability of the obtained model is confirmed by the cross validation test. The results of present study indicate that the M-index provides a promising route for developing highly correlated QSPR/QSAR models. On the other hand, the M-index is easy to generate and the developed QSPR/QSAR models based on this index are linearly correlated. This is an interesting feature of the M-index when compared with quantum chemical descriptors which require vast computational cost and exhibit limitations for large sized molecules.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
8
v.
2
no.
2017
107
135
http://ijmc.kashanu.ac.ir/article_44115_0f4587325b2ad3067ae1117cdd794aee.pdf
dx.doi.org/10.22052/ijmc.2017.27307.1101
A new two-step Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrodinger equation and related IVPs with oscillating solutions
A.
Shokri
Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran.
author
M.
Tahmourasi
Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran.
author
text
article
2017
eng
A new two-step implicit linear Obrechkoff twelfth algebraic order method with vanished phase-lag and its first, second, third and fourth derivatives is constructed in this paper. The purpose of this paper is to develop an efficient algorithm for the approximate solution of the one-dimensional radial Schrodinger equation and related problems. This algorithm belongs in the category of the multistep methods. In order to produce an efficient multistep method the phase-lag property and its derivatives are used. An error analysis and a stability analysis is also investigated and a comparison with other methods is also studied. The efficiency of the new methodology is proved via theoretical analysis and numerical applications.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
8
v.
2
no.
2017
137
159
http://ijmc.kashanu.ac.ir/article_44492_a3bd973f0da544a62a0cfcb9ae698ed7.pdf
dx.doi.org/10.22052/ijmc.2017.62671.1243
Optimal control of switched systems by a modified pseudo spectral method
H.
Tabrizidooz
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan
author
M.
Pourbabaee
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan
author
M.
Hedayati
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan
author
text
article
2017
eng
In the present paper, we develop a modified pseudospectral scheme for solving an optimal control problem which is governed by a switched dynamical system. Many real-world processes such as chemical processes, automotive systems and manufacturing processes can be modeled as such systems. For this purpose, we replace the problem with an alternative optimal control problem in which the switching times appear as unknown parameters. Using the Legendre-Gauss-Lobatto quadrature and the corresponding differentiation matrix, the alternative problem is discretized to a nonlinear programming problem. At last, we examine three examples in order to illustrate the efficiency of the proposed method.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
8
v.
2
no.
2017
161
173
http://ijmc.kashanu.ac.ir/article_44718_efb6ede976ef88ccb0b884be36f110ab.pdf
dx.doi.org/10.22052/ijmc.2017.44718
Computing Szeged index of graphs on triples
M.
Darafsheh
School of Mathematics, College of Science, University of Tehran
author
R.
Modabernia
Department of Mathematics, Shahid Chamran University of Ahvaz
author
M.
Namdari
Department of Mathematics, Shahid Chamran University of Ahvaz
author
text
article
2017
eng
ABSTRACT Let G=(V,E) be a simple connected graph with vertex set V and edge set E. The Szeged index of G is defined by where respectively is the number of vertices of G closer to u (respectively v) than v (respectively u). If S is a set of size let V be the set of all subsets of S of size 3. Then we define three types of intersection graphs with vertex set V. These graphs are denoted by and we will find their Szeged indices.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
8
v.
2
no.
2017
175
180
http://ijmc.kashanu.ac.ir/article_44724_d4aff4fb5b7b742b83c78d1707e5e989.pdf
dx.doi.org/10.22052/ijmc.2017.80007.1275
Nordhaus-Gaddum type results for the Harary index of graphs
Z.
Wang
Beijing Normal Unviersity
author
Y.
Mao
Qinghai Normal Unviersity
author
X.
Wang
Qinghai Normal University
author
C.
Wang
Qinghai Normal Unviersity
author
text
article
2017
eng
The \emph{Harary index} $H(G)$ of a connected graph $G$ is defined as $H(G)=\sum_{u,v\in V(G)}\frac{1}{d_G(u,v)}$ where $d_G(u,v)$ is the distance between vertices $u$ and $v$ of $G$. The Steiner distance in a graph, introduced by Chartrand et al. in 1989, is a natural generalization of the concept of classical graph distance. For a connected graph $G$ of order at least $2$ and $S\subseteq V(G)$, the \emph{Steiner distance} $d_G(S)$ of the vertices of $S$ is the minimum size of a connected subgraph whose vertex set contains $S$. Recently, Furtula, Gutman, and Katani\'{c} introduced the concept of Steiner Harary index and gave its chemical applications. The \emph{$k$-center Steiner Harary index} $SH_k(G)$ of $G$ is defined by $SH_k(G)=\sum_{S\subseteq V(G),|S|=k}\frac{1}{d_G(S)}$. In this paper, we get the sharp upper and lower bounds for $SH_k(G)+SH_k(\overline{G})$ and $SH_k(G)\cdot SH_k(\overline{G})$, valid for any connected graph $G$ whose complement $\overline {G}$ is also connected.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
8
v.
2
no.
2017
181
198
http://ijmc.kashanu.ac.ir/article_44759_734363f6c618442af36682e65ea7a7b1.pdf
dx.doi.org/10.22052/ijmc.2017.67735.1254
Determination of critical properties of Alkanes derivatives using multiple linear regression
E.
Mohammadinasab
Islamic Azad University of Arak Branch
author
text
article
2017
eng
This study presents some mathematical methods for estimating the critical properties of 40 different types of alkanes and their derivatives including critical temperature, critical pressure and critical volume. This algorithm used QSPR modeling based on graph theory, several structural indices, and geometric descriptors of chemical compounds. Multiple linear regression was used to estimate the correlation between these critical properties and molecular descriptors using proper coefficients. To achieve this aim, the most appropriate molecular descriptors were chosen from among 11 structural and geometric descriptors in order to determine the critical properties of the intended molecules. The results showed that among all the proposed models to predict critical temperature, pressure and volume, a model including the combination of such descriptors as HyperWiener, Platt, MinZL is the most appropriate one.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
8
v.
2
no.
2017
199
220
http://ijmc.kashanu.ac.ir/article_44911_1b000378a12cd94d31436a61444db1f5.pdf
dx.doi.org/10.22052/ijmc.2017.58461.1225
Some relations between Kekule structure and Morgan-Voyce polynomials
I.
Gultekin
Ataturk University
author
B.
Sahin
bayburt university
author
text
article
2017
eng
In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B_n (x) Morgan-Voyce polynomial equal to the number of k-matchings (m(G,k)) of a path graph which has N=2n+1 points. Furtermore, two relations are obtained between regularly zig-zag nonbranched catacondensed benzenid chains and Morgan-Voyce polynomials and between regularly zig-zag nonbranched catacondensed benzenid chains and their corresponding caterpillar trees.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
8
v.
2
no.
2017
221
229
http://ijmc.kashanu.ac.ir/article_44912_aac8686b1165c6a5ad1135a5ce3ad326.pdf
dx.doi.org/10.22052/ijmc.2017.49481.1177