نتایج جستجو برای: sum connectivity index

تعداد نتایج: 532099  

2012
Hongbo Hua Shenggui Zhang

For a nontrivial graph G, its first Zagreb coindex is defined as the sum of degree sum over all non-adjacent vertex pairs in G and the second Zagreb coindex is defined as the sum of degree product over all non-adjacent vertex pairs in G. Till now, established results concerning Zagreb coindices are mainly related to composite graphs and extremal values of some special graphs. The existing liter...

Journal: :Polycyclic Aromatic Compounds 2022

A topological descriptor is regarded as a numerical parameter derived by using mathematical tools from the molecular graph of different chemical structures. The theory paramount section chemistry. In this section, there are many parameters, that have very useful characteristics to study structure chemicals. article, we investigate indices concealed non-kekulean benzenoid hydrocarbon graph. We w...

Journal: :International Letters of Chemistry, Physics and Astronomy 2015

Journal: :iranian journal of mathematical chemistry 2012
s. heidari rad a. khaki

the atom bond connectivity index of a graph is a new topological index was defined by e.estrada as abc(g)  uve (dg(u) dg(v) 2) / dg(u)dg(v) , where g d ( u ) denotes degreeof vertex u. in this paper we present some bounds of this new topological index.

Relative centricity RC values of vertices/atoms are calculated within the Distance Detour and Cluj-Distance criteria on their corresponding Shell transforms. The vertex RC distribution in a molecular graph gives atom equivalence classes, useful in interpretation of NMR spectra. Timed by vertex valences, RC provides a new index, called Centric Connectivity CC, which can be useful in the topologi...

Ante Graovac, Franco Cataldo, Ottorino Ori, Tomislav Doslic,

We present explicit formulae for the eccentric connectivity index and Wiener index of 2-dimensional square and comb lattices with open ends. The formulae for these indices of 2-dimensional square lattices with ends closed at themselves are also derived. The index for closed ends case divided by the same index for open ends case in the limit N →&infin defines a novel quantity we call compression...

Journal: :EJGTA 2016
Ioan Tomescu

In this paper, we show that in the class of connected graphs G of order n ≥ 3 having girth at least equal to k, 3 ≤ k ≤ n, the unique graph G having minimum general sum-connectivity index χα(G) consists of Ck and n−k pendant vertices adjacent to a unique vertex of Ck, if−1 ≤ α < 0. This property does not hold for zeroth-order general Randić index Rα(G).

Journal: :Graphs and Combinatorics 2012

Journal: :Cmes-computer Modeling in Engineering & Sciences 2023

L-valine is a glycogen-type amino acid regarded among the necessary mammalian acids. This an that essential for protein synthesis. N-salicylidene-L-valine gaining lot of attention because its unique structure and increased catalytic cytotoxic activity. We explore chain supramolecular dialkyltin complexes 2, 3, 4 to learn more about this features regarding topological indices. computed first sec...

Journal: :Discrete Mathematics & Theoretical Computer Science 2021

Let $G$ be a connected graph. The Wiener index of graph is the sum distances between all unordered pairs vertices. We provide asymptotic formulae for maximum simple triangulations and quadrangulations with given connectivity, as order increases, make conjectures extremal based on computational evidence. If $\overline{\sigma}(v)$ denotes arithmetic mean from $v$ to other vertices $G$, then remot...

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