[PDF] Top 20 The First and Second Zagreb Indices of Degree Splitting of Graphs

... Let G be simple graph. The first Zagreb index is the sum of squares of degree of vertices and second Zagreb index is the sum of the products of the degrees of pairs of[r] ... See full document

... The first and second Zagreb index of degree splitting of standard graphs and special graphs are studied in ...the first and second Zagreb index of ... See full document

... topological indices of chemical graphs which correlate well with chemical properties of the chemical ...modified first and second Zagreb indices, harmonic index and augmented ... See full document

... two indices for some very frequently used graph classes: Corollary ...pole graphs. Then the first and second Zagreb indices of the double graph of the subdivision of G are given ... See full document

... was first introduced by ...The first and second Zagreb indices of a graph denoted by M G 1 ( ) and M G 2 ( ) , respectively, are degree based topological indices ... See full document

... topological indices of molecular graphs are widely used for establishing correlations between the structure of a molecular compound and its physico- chemical properties or biological activity ...These ... See full document

... Topological indices play a significant role mainly in chemistry, pharmacology, ...topological indices of current interest in mathe- matical chemistry are defined in terms of vertex degrees of the molecular ... See full document

... e graphs considered in this paper are simple connected graph with vertex set V and edge set ...the first and second Zagreb indices. Za- greb indices are defined as ... See full document

... topological indices in honeycomb graphs: Randić connectivity index, sum-connectivity index, atom-bond connectivity index, geometric-arithmetic index, First and Second Zagreb ... See full document

... E G e e e , thus possessing n vertices and m edges. The degree d v ( ) of the vertex v V G  ( ) is the number of first neighbors of v. The edge of the graph G, connecting the vertices u and v, will be ... See full document

... maximum degree Δ. First, we classify all such graphs up to isomorphism, for 1 ≤ Δ ≤ ...such graphs have no pendant ices Hence, if Δ = 1, then G is not ... See full document

... Topological indices are the numerical values which are associated with a graph ...topological indices are proposed and studied based on degree, distance and other parameters of ...cally Zagreb ... See full document

... the graphs considered in this paper are sim- ple and ...topological indices) are used for modeling physicochemical, pharmaco- logic, toxicologic, biological and other properties of chemical ...compounds. ... See full document

... the degree based topological indices of the corresponding molecular ...the second order first Zagreb index was tested by using a data set of octane isomers, that can be found at ...the ... See full document

... extremal graphs with respect to was studied by Gutman and Ghorbani [15] , Zolfi and Ashrafi ...the first Zagreb index were introduced in the more recent paper ... See full document

... These indices were defined in 1972 by Gutman and Trinajstic, ...the first Zagreb index together with some other indices were ...these indices were studied. Some relations between ... See full document

... in graphs [5]. The authors defined two novel degree concepts in graph theory; ev-degrees and ve-degrees and investigate some basic mathematical properties of both novel graph invariants with regard to graph ... See full document

... other degree-based or distance- based indices of molecular graphs, while the study of the first and second multiplicative Zagreb index of special chemical structures has been ... 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 ... See full document

... the degree of a vertex u of G is denoted by deg(u) and it is defined as the number of edges incident with ...topological indices have been defined and many of them have found applications as means to model ... See full document