A real-number to molecular structure mapping is a topological index. It graph invariant method for describing physico-chemical properties of structures specific substances. In that article, We examined pentacene’s chemical composition. The research on the subsequent indices reflected in our paper, we conducted an analysis several including general randic connectivity index, first zagreb sum-con...

Many existing degree based topological indices can be clasified as bond incident degree (BID) indices, whose general form is BID(G) = ∑ uv∈E(G) Ψ(du, dv), where uv is the edge connecting the vertices u, v of the graph G, E(G) is the edge set of G, du is the degree of the vertex u and Ψ is a non-negative real valued (symmetric) function of du and dv. Here, it has been proven that if the extensio...

the first zagreb index $m_1$ of a graph $g$ is equal to the sum of squaresof degrees of the vertices of $g$. goubko proved that for trees with $n_1$pendent vertices, $m_1 geq 9,n_1-16$. we show how this result can beextended to hold for any connected graph with cyclomatic number $gamma geq 0$.in addition, graphs with $n$ vertices, $n_1$ pendent vertices, cyclomaticnumber $gamma$, and minimal $m...

the first zagreb index, $m_1(g)$, and second zagreb index, $m_2(g)$, of the graph $g$ is defined as $m_{1}(g)=sum_{vin v(g)}d^{2}(v)$ and $m_{2}(g)=sum_{e=uvin e(g)}d(u)d(v),$ where $d(u)$ denotes the degree of vertex $u$. in this paper, the firstand second maximum values of the first and second zagreb indicesin the class of all $n-$vertex tetracyclic graphs are presented.

Abstract The molecular descriptors are a useful tool in the spectral graph, chemistry and several fields of mathematics. edge F-index is proposed for fuzzy graphs (FGs) here. Bounds this index calculated FGs. FG has been investigated given set vertices as having maximum F-index. Some relations with second Zagreb hyper-Zagreb established. For an isomorphic FGs, it shown that value same. some ope...

Topological indices are a type of mathematical measure that relate to the atomic composition any straight forward finite graph. For quantitative structure-activity relationship (QSAR) and structure-property (QSPR) analyses [1]. The main aim this paper is find new bounds jump graph using some topological like Hyper Zagreb index, Nirmala Index, VL Index Forgotten index.The techniques used mathema...