[PDF] Top 20 EXTREMAL HYPER ZAGREB INDEX FOR TRICYCLIC GRAPHS

... connected tricyclic graphs with order n. For a tricyclic graph, the graph which is attained by removing its all pendent vertices is named as a brace of the ...of tricyclic graphs as ... See full document

... Let us begin with a few examples, then we will give a crucial lemma related to distance properties of some graph operations. Our main results are applications of this lemma in computing exact formulae for some graph ... See full document

... third Zagreb index, and established new bounds on the first and second Zagrab indices that depend on ...first Zagreb index of graphs, and also they determined the graphs with ... See full document

... molecular graphs for the purpose of allowing quantitative structure-activity/ property/ toxicity ...of hyper Zagreb index, first multiple Zagreb index, second multiple ... See full document

... Throughout this paper we consider undirected finite graphs without loops and multiple edges. The vertex and edge sets of a G will be denoted by V ( G ) and E ( G ) , respectively. For a vertex v in G, the degree ... See full document

... the hyper Zagreb index in ...the hyper-Zagreb index of graph operations containing cartesian product and join of n graphs, splice, link and chain of ...and hyper ... See full document

... Wiener index of special ...Wiener index of gear fan graph, gear wheel graph and their r-corona ...wiener index and introduce the method of obtaining the order of the Wiener indices among all the ... See full document

... AZI index of a chemical tree and showed that among all trees, the star graph has the minimal AZI ...connected graphs and characterized the corresponding extremal ...unicyclic graphs and ... See full document

... minimum Hyper-Wiener index in all graphs with n vertices and chromatic number ...fewer Hyper-Wiener index than G*, which contradicts to the selection of ... See full document

... Several extremal properties of the sum-connectivity index and general sum-connectivity index for trees, unicyclic graphs, -connected graphs and bicyclic graphs were given in ... See full document

... index, hyper Zagreb index, reformulated first Zagreb index, redefined Zagreb index, irregularity of graphs of generalised Mycielskian transformation of a ... See full document

... The hyper-Zagreb index is defined as 𝐻𝑍(𝐺) = ∑ 𝑢𝑣∈𝐸(𝐺) [𝑑 𝐺 (𝑢) + 𝑑 𝐺 (𝑣)] 2 ...the hyper-Zagreb index and other degree based topological indices like the Forgotten index, ... See full document

... Topological index, Honeycomb graph, Atom-bond connectivity index, Randić connectivity index Correspondence to Author: Mohammad Reza Farahani Department of Applied Mathematics, Iran University of ... See full document

... The Zagreb indices are the oldest graph invariants used in mathematical chemistry to predict the chemical ...of Zagreb indices based on degrees of vertices in a given graph and then we compute the first and ... See full document

... In this section, we focus on the structure of hydrocarbon structures and counting the First Multiple Zagreb index and Second Multiple Zagreb index of Polycyclic Aromatic Hydrocarbons PAH. The ... See full document

... connectivity index of a tree is at least linear and at most quadratic in the number of ...connectivity index of the mdimensional hypercube Q m is asymptotically proportional to n (log n) 2 , where n  2 ... See full document

... topological index ,which is a graph invariant it does not depend on the labeling or pictorial representation of the graph, is a numerical parameter mathematically derived from the graph ...molecular graphs ... See full document

... Let G = (V, E) be a simple connected graph with vertex set V (G) and edge set E(G). The degree of a vertex v of G is denoted by d(v). If u, v ∈ V (G), then the distance between u and v is the length of a shortest u − v ... See full document

... A molecular graph is a graph such that its vertices correspond to the atoms and the edges to the bonds. A topological index is a numerical parameter mathematically derived from the graph structure. In chemical ... See full document

... Venkatakrishnan et al. [8] found eccentric connectivity index of certain generalized thorn graphs. In this sequel, we are interested in computing exact values for the third leap Zagreb index ... See full document