[PDF] Top 20 On multiplicative Zagreb indices of two new operations of graphs

... 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

... 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

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

... 9. R. Todeschini, D. Ballabio and V. Consonni, Novel molecular descriptors based on functions of new vertex degrees. in: I. Gutman and B. Furtula (Eds.), Novel Molecular Structure Descriptors - Theory and ... See full document

... second multiplicative Zagreb index and the modified Narumi– Katayama index are the ...extremal graphs are characterized with respect to modified Narumi–Katayama ...the multiplicative ... See full document

... Trees are defined as connected graphs without cycles. Recursive trees are rooted labelled trees, where the root is labelled by 1 and the labels of all successors of any node v are larger than the label of v [8]. ... See full document

... the multiplicative Zagreb indices are the path and star ...greatest multiplicative Zagreb index among all trees of order ...general Zagreb index were observed when some ... See full document

... the multiplicative Zagreb indices of several chemical structures, and these molecular graphs we consider here are fundamentally and commonly used in chemical ...the multiplicative ... See full document

... Throughout this paper, we consider simple graphs which are finite, indirected graphs with- out loops and multiple edges. Suppose G is a graph with a vertex set V (G) and an edge set E(G). For a graph G, the ... 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 ... See full document

... removing an edge from fifth maximal overfull graph, the sixth maximal is G + 3e. For n = 11, we cannot remove an edge from the fifth maximal, because the resulted graph is not overfull. Thus, by removing two ... See full document

... introducing two new topological in- dices under the name first and second Zagreb locating indices of a graph G , we establish the exact values of those indices for some standard ... See full document

... fourth multiplicative atom bond connectivity indices of a ...fourth multiplicative atom bond connectivity index of line graphs of subdivision graphs of 2D-lattice, nanotube and ... See full document

... graph G is the number of vertices adjacent to u. The notation uv represents an edge between two vertices u and v in G. The distance d(u, v) between any two vertices u and v is the length of shortest path ... See full document

... V.R.Kulli, Multiplicative hyper-Zagreb indices and coindices of graphs: Computing these indices of some nanostructures, International Research Journal of Pure. Algebra, 6(7) (2[r] ... See full document

... topological indices and graph invariants based on distances between vertices of a graph are widely used for characterizing molecular graphs, establishing relationships between struc- ture and properties of ... See full document

... In chemical graph theory, a molecular structure can be rep- resented by vertices and edges where vertices denotes atoms and edges denotes the bonds between atoms. A topological index is a real number related to a ... 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 branching ... See full document

... of Zagreb index. In this paper, we introduce a new invariant the K-edge index which is defined as the sum of the cubes of the edge degrees of a ...another new invariant the K-edge ...these new ... See full document

... 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