Iranian Journal of Mathematical ChemistryIranian Journal of Mathematical Chemistry
http://ijmc.kashanu.ac.ir/
Sun, 30 Apr 2017 19:13:11 +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 +0100