[PDF] Top 20 Note on Properties of First Zagreb Index of Graphs

... In what follows, four types of graphs resulting from edge subdivision will be introduced. Two of them, the subdivision graph and the total graph, belong to the folklore, while the other two were introduced in [1] ... See full document

... physic-chemical properties like boiling point, enthalpy of vaporization, stability, ...bonds. Note that hydrogen atoms are often omitted. All molecular graphs considered in this paper are finite, ... See full document

... physical properties of these chemical ...physico-chemical properties of molecules can be studied by using the information encoded in their corresponding chemical ...The Zagreb indices have been ... See full document

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

... the graphs considered in this paper are sim- ple and ...other properties of chemical compounds. Zagreb indices were introduced more than forty years ago by Gutman and Trinajestic ...The Zagreb ... See full document

... the graphs obtained from a given graph G which have several properties related to the properties of ...the first and second Zagreb and multiplicative Zagreb indices of double ... See full document

... Wiener index formulae, Szeged index formulae and PI-index formulae of intersection graph and Hypercube (n-Cube) graph by using automorphism group method, and asserted recursion process method be good ... See full document

... 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

... and properties of molecules in complex ...logical index is ...topological index called the augmented Zagreb index (AZI), defined ... See full document

... The Zagreb indices have been introduced more than thirty years ago by Gutman and Trinajestić in [6]. They are important molecular descriptors and have been closely correlated with many chemical properties ... 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 degree splitting ... See full document

... e graphs considered in this paper are simple connected graph with vertex set V and edge set ...topological index is a fixed number under graph ...the first and second Zagreb ... See full document

... of graphs play a vital role in Mathematical Chemistry to study the structural properties of some complicated chemical ...Thorn graphs as a generalization of thorn ...leap Zagreb indices and ... See full document

... The Zagreb indices belong to the oldest and the best researched topological ...this note we show how the information about one of the generalizations, the first general Zagreb index, ... See full document

... chemical graphs which correlate well with chemical properties of the chemical ...modified first and second Zagreb indices, harmonic index and augmented Zagreb index for ... 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 first Zagreb index together with some other indices were ...between Zagreb indices and some other indices such as ABC, GA and Randic indices were obtained in ...[7]. Zagreb indices ... See full document

... the first kind of edges have degree n/2 + 1 and have reverse degree ...the first kind of edges are n 2 /4 and the number of the second kind of edges are ... See full document

... on Zagreb indices are ...dard graphs and for the firefly ...chemical properties for some chemical compound such as drugs, bridge molecular graph ...different properties of the ... See full document

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