Iranian Journal of Mathematical ChemistryIranian Journal of Mathematical Chemistry
http://ijmc.kashanu.ac.ir/
Wed, 21 Nov 2018 23:56:29 +0100FeedCreatorIranian Journal of Mathematical Chemistry
http://ijmc.kashanu.ac.ir/
Feed provided by Iranian Journal of Mathematical Chemistry. Click to visit.The Extremal Graphs for (Sum-) Balaban Index of Spiro and Polyphenyl Hexagonal Chains
http://ijmc.kashanu.ac.ir/article_73763_5999.html
As highly discriminant distance-based topological indices, the Balaban index and the sum-Balaban index of a graph $G$ are defined as $J(G)=frac{m}{mu+1}sumlimits_{uvin E} frac{1}{sqrt{D_{G}(u)D_{G}(v)}}$ and $SJ(G)=frac{m}{mu+1}sumlimits_{uvin E} frac{1}{sqrt{D_{G}(u)+D_{G}(v)}}$, respectively, where $D_{G}(u)=sumlimits_{vin V}d(u,v)$ is the distance sum of vertex $u$ in $G$, $m$ is the number of edges and $mu$ is the cyclomatic number of $G$. They are useful distance-based descriptor in chemometrics. In this paper, we focus on the extremal graphs of spiro and polyphenyl hexagonal chains with respect to the Balaban index and the sum-Balaban index.Fri, 30 Nov 2018 20:30:00 +0100An application of geometrical isometries in non-planar molecules
http://ijmc.kashanu.ac.ir/article_45090_5999.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.Sat, 13 Oct 2018 20:30:00 +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 +0100