[PDF] Top 20 On the Zagreb Indices of Semi total Point Graphs of Some Graphs

... In theoretical chemistry, the physico-chemical properties of chemical compounds are often modeled by means of a molecular graph based structure descriptors, which are also referred to as topological indices. In ... See full document

... These indices were defined in 1972 by Gutman and Trinajstic, [5]. In [3], some results on the first Zagreb index together with some other indices were ...these indices were ... See full document

... In [4], the chemical applications of these new indices have been investigated. In [6], Ediz and Cancan obtained the reverse Zagreb indices for Cartesian product of two simple connected graphs. ... See full document

... as some chemically interesting graphs can be obtained by different graph operations on some general or particular ...topological indices, studies related to Multiplicative Zagreb ... 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

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

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

... Suppose G and H are two graphs. The union G ∪ H is a graph with the vertex set V (G) ∪ V (H) and edge set E(G) ∪ E(H). The join of G and H is a graph with the same vertex set as G ∪ H and E(G + H) = E(G) ∪ E(H) ∪ ... 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

... second Zagreb indices first appeared in a topological formula for the total π energy of conjugated molecules, were introduced by Gutman and Trinajstić in ...these indices have been used as ... See full document

... Suppose R (G ) denotes a graph constructed from G by adding a new vertex corresponding to each edge and connecting it to the endpoints of edge considered . This graph is called the semi total point ... See full document

... A variety of other chemically relevant polyhedra and polyhedra-type structures, whose graphs are pseudo-regular, can be found in the books [35-37] and other works by Diudea. Therefore, the study of the properties ... See full document

... Topological indices are numerical quantities associated with a graph that are in- variant under graph ...topological indices is due to their applicability in quantitative structure–property relationship ... See full document

... In this article, we are concerned with simple graphs, that is finite and undirected graphs without loops and multiple edges. Let G be such a graph and V(G) and E(G) be its vertex set and edge set, ... See full document

... The concept of overfull graph has improved our understanding of the edge chromatic properties of graphs. Chetwynd and Hilton [2] have formulated the following conjecture, according to which the reason for a vaste ... See full document

... Shultz indices of the subdivision graphs of the tadpole, wheel, helm and ladder graphs ...the Zagreb indices of the line graphs of subdivision graphs of tadpole, wheel and ... 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 indices and ... See full document

... Keywords: Zagreb indices, reformulated Zagreb indices, K-edge index, K-edge coindex AMS Mathematics Subject Classification (2010): 05C72 ... See full document

... calculate some bounds for the fourth geometric–arithmetic, the eccentric connectivity and new Zagreb indices of a graph, then present some relations between these ... 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