Iranian Journal of Mathematical Chemistry
https://ijmc.kashanu.ac.ir/
Iranian Journal of Mathematical Chemistryendaily1Tue, 01 Jun 2021 00:00:00 +0430Tue, 01 Jun 2021 00:00:00 +0430The Gutman Index and Schultz Index in the Random Phenylene Chains
https://ijmc.kashanu.ac.ir/article_111351.html
The Gutman index and Schultz index are two topological indices&lrm;. &lrm;In this paper&lrm;, &lrm;we first give exact formulae for the expected values of the Gutman index and Schultz index of random phenylene chains&lrm;, &lrm;and we will also get the average values of the Gutman index and Schultz index in phenylene chains.&lrm;Upper and Lower Bounds for the First and Second Zagreb Indices of Quasi Bicyclic Graphs
https://ijmc.kashanu.ac.ir/article_111492.html
The aim of this paper is to give an upper and lower bounds for the first and second Zagreb indices of quasi bicyclic graphs. For a simple graph G, we denote M1(G) and M2(G), as the sum of deg2(u) overall vertices u in G and the sum of deg(u)deg(v) of all edges uv of G, respectively. The graph G is called quasi bicyclic graph if there exists a vertex x &isin; V (G) such that G&minus;x is a connected bicyclic graph. The results mentioned in this paper, are mostly new or an improvement of results given by authors for quasi unicyclic graphs in [1].On the Characteristic Polynomial and Spectrum of the Terminal Distance Matrix of Kragujevac Trees
https://ijmc.kashanu.ac.ir/article_111504.html
In this paper&lrm;, &lrm;the characteristic polynomial and the spectrum of the terminal distance matrix for some Kragujevac trees is computed. &lrm;As Application&lrm;, &lrm;we obtain an upper bound and a lower bound for the spectral radius of the terminal distance matrix of the Kragujevac trees&lrm;.