[PDF] Top 20 On the First and Second Locating Zagreb Indices of Graphs

... topological indices based on Zagreb indices are ...topological indices are calculated for some stan- dard graphs and for the firefly ...new indices can be used to investi- gate ... 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

... 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

... Throughout this paper graph means simple connected graphs. Let G be a connected graph with vertex and edge sets V(G) and E(G), respectively. As usual, the degree of a vertex u of G is denoted by deg(u) and it is ... 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

... 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

... 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

... 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 introduced by ... See full document

... n e G n e G over all edges e  uv of G , where n e G 1 ( | ) and n e G 2 ( | ) are respectively the number of vertices of G lying closer to vertex u than to vertex v and the number of vertices of G lying closer to vertex ... See full document

... multiplicative Zagreb indices are the path and star ...the first through ninth greatest multiplicative Zagreb index among all trees of order ...the first through eighth smallest among ... See full document

... higher-order first Zagreb index of a molecular ...the second order first Zagreb index with the entropy and acentric factor of an octane ...the second order first ... See full document

... The first Zagreb index of a graph G is the sum of squares of the vertex degrees in a graph and the second Zagreb index of G is the sum of products of degrees of adjacent vertices in ... 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

... 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 denoted by ... See full document

... Let G be an overfull graph with maximum degree Δ. First, we classify all such graphs up to isomorphism, for 1 ≤ Δ ≤ 4. In Theorems 9 – 11, we construct these graphs. In the following Theorems, let G ... See full document

... Subdivision graphs are used to obtain several mathematical and chemical properties of more complex graphs from more basic graphs and there are many results on these ...double graphs of these ... 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

... multiplicative Zagreb coindices of G, ...the first, second and third Zagreb indices and the first and second multiplicative Zagreb indices of some classes of ... 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