Iranian Journal of Mathematical ChemistryIranian Journal of Mathematical Chemistry
http://ijmc.kashanu.ac.ir/
Thu, 24 Aug 2017 01:42:10 +0100FeedCreatorIranian Journal of Mathematical Chemistry
http://ijmc.kashanu.ac.ir/
Feed provided by Iranian Journal of Mathematical Chemistry. Click to visit.The uniqueness theorem for inverse nodal problems with a chemical potential
http://ijmc.kashanu.ac.ir/article_39228_0.html
In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.Fri, 04 Nov 2016 20:30:00 +0100Autobiographical notes
http://ijmc.kashanu.ac.ir/article_45087_2947.html
I was born in Zagreb (Croatia) on October 26, 1936. My parents were Regina (née Pavić) (April17, 1916, Zagreb–March 9, 1992, Zagreb) and Cvjetko Trinajstić (September 9, 1913, Volosko–October 29, 1998, Richmond, Australia).Thu, 31 Aug 2017 19:30:00 +0100Graphs with smallest forgotten index
http://ijmc.kashanu.ac.ir/article_43258_2947.html
The forgotten topological index of a molecular graph $G$ is defined as $F(G)=sum_{vin V(G)}d^{3}(v)$, where $d(u)$ denotes the degree of vertex $u$ in $G$. The first through the sixth smallest forgotten indices among all trees, the first through the third smallest forgotten indices among all connected graph with cyclomatic number $gamma=1,2$, the first through the fourth for $gamma=3$, and the first and the second for $gamma=4,5$ are determined. These results are compared with those obtained for the first Zagreb index.Thu, 31 Aug 2017 19:30:00 +0100On the forgotten topological index
http://ijmc.kashanu.ac.ir/article_43481_0.html
The forgotten topological index is defined as sum of third power of degrees. In this paper, we compute some properties of forgotten index and then we determine it for some classes of product graphs.Thu, 23 Feb 2017 20:30:00 +0100On the first variable Zagreb index
http://ijmc.kashanu.ac.ir/article_45113_2947.html
‎The first variable Zagreb index of graph $G$ is defined as‎ ‎begin{eqnarray*}‎ ‎M_{1,lambda}(G)=sum_{vin V(G)}d(v)^{2lambda}‎, ‎end{eqnarray*}‎ ‎where $lambda$ is a real number and $d(v)$ is the degree of‎ ‎vertex $v$‎. ‎In this paper‎, ‎some upper and lower bounds for the distribution function and expected value of this index in random increasing trees (recursive trees‎, ‎plane-oriented recursive trees and binary increasing trees) are‎ ‎given‎.Thu, 31 Aug 2017 19:30:00 +0100An application of geometrical isometries in non-planar molecules
http://ijmc.kashanu.ac.ir/article_45090_0.html
In this paper we introduce a novel methodology to transmit the origin to the center of a polygon in a molecule structure such that the special axis be perpendicular to the plane containing the polygon. The mathematical calculation are described completely and the algorithm will be showed as a computer program.Tue, 18 Apr 2017 19:30:00 +0100The ratio and product of the multiplicative Zagreb indices
http://ijmc.kashanu.ac.ir/article_45116_0.html
‎The first multiplicative Zagreb index $Pi_1(G)$ is equal to the‎ ‎product of squares of the degree of the vertices and the second‎ ‎multiplicative Zagreb index $Pi_2(G)$ is equal to the product of‎ ‎the products of the degree of pairs of adjacent vertices of the‎ ‎underlying molecular graphs $G$‎. ‎Also‎, ‎the multiplicative sum Zagreb index $Pi_3(G)$ is equal to the product of‎ ‎the sums of the degree of pairs of adjacent vertices of $G$‎. ‎In‎ ‎this paper‎, ‎we introduce a new version of the multiplicative sum‎ ‎Zagreb index and study the moments of the ratio and product of ‎all above‎ indices in a randomly chosen molecular graph with tree structure of order $n$. ‏Also, a ‎supermartingale is introduced by ‎‎Doob's supermartingale‎ ‎inequality.Thu, 20 Apr 2017 19:30:00 +0100Solving time-fractional chemical engineering equations by modified variational iteration method ...
http://ijmc.kashanu.ac.ir/article_45351_0.html
The variational iteration method(VIM) was extended to find approximate solutions of fractional chemical engineering equations. The Lagrange multipliers of the VIM were not identified explicitly. In this paper we improve the VIM by using concept of fixed point iteration method. Then this method was implemented for solving system of the time fractional chemical engineering equations. The obtained approximate solutions are compared with the numerical results in the literature to show the applicability, efficiency and accuracy of the method.Sun, 07 May 2017 19:30:00 +0100A numerical study of fractional order reverse osmosis desalination model using Legendre wavelet ...
http://ijmc.kashanu.ac.ir/article_48032_0.html
The purpose of this study is to develop a new approach in modeling and simulation of a reverse osmosis desalination system by using fractional differential equations. Using the Legendre wavelet method combined with the decoupling and quasi-linearization technique, we demonstrate the validity and applicability of our model. Examples are developed to illustrate the fractional differential technique and to highlight the broad applicability and the efficiency of this method. The fractional derivative is described in the Caputo sense.Thu, 06 Jul 2017 19:30:00 +0100Trees with the greatest Wiener and edge-Wiener index
http://ijmc.kashanu.ac.ir/article_48335_0.html
The Wiener index W and the edge-Wiener index W_e of G are defined as the sum of distances between all pairs of vertices in G and the sum of distances between all pairs of edges in G, respectively. In this paper, we identify the four trees, with the first through fourth greatest Wiener and edge-Wiener index among all trees of order n ≥ 10.Tue, 11 Jul 2017 19:30:00 +0100Computing the additive degree-Kirchhoff index with the Laplacian matrix
http://ijmc.kashanu.ac.ir/article_48532_2947.html
For any simple connected undirected graph, it is well known that the Kirchhoff and multiplicative degree-Kirchhoff indices can be computed using the Laplacian matrix. We show that the same is true for the additive degree-Kirchhoff index and give a compact Matlab program that computes all three Kirchhoffian indices with the Laplacian matrix as the only input.Thu, 31 Aug 2017 19:30:00 +0100Extermal trees with respect to some versions of Zagreb indices via majorization
http://ijmc.kashanu.ac.ir/article_48642_0.html
The aim of this paper is using the majorization technique to identify the classes of trees with extermal (minimal or maximal) value of some topological indices, among all trees of order n ≥ 12Thu, 20 Jul 2017 19:30:00 +0100On the spectra of reduced distance matrix of the generalized Bethe trees
http://ijmc.kashanu.ac.ir/article_48533_2947.html
Let G be a simple connected graph and {v_1,v_2,..., v_k} be the set of pendent (vertices of degree one) vertices of G. The reduced distance matrix of G is a square matrix whose (i,j)-entry is the topological distance between v_i and v_j of G. In this paper, we compute the spectrum of the reduced distance matrix of the generalized Bethe trees.Thu, 31 Aug 2017 19:30:00 +0100