[PDF] Top 20 Edge version of some degree based topological descriptors of graphs

... A topological index is a mathematical measure which correlates to the chemical structures of any simple finite ...numerous topological descriptors that have some applications in theoretical ... See full document

... Graph theory is an important branch of mathematics which is started by Leon- hard Euler ’ s as early as 1736. A hundred year before an important contribution of Kirchhoff had been made for the analysis of electrical ... See full document

... the edge version of geometric-arithmetic index introduced based on the end-vertex degrees of edges in a line graph of G which is a graph such that each vertex of L(G ) represents an edge of G; ... See full document

... new degree based topological descriptors such as first and second neighborhood Dakshayani indices, vertex neighborhood Dakshayani index, first and second hyper neighborhood Dakshayani indices ... See full document

... molecular descriptors is rapidly growing [1]. A special class of these descriptors comprises is called topological ...indices. Topological indices are usually defined via the molecular ...the ... See full document

... Fig.2. In H there are total 2(n − 1) vertices and by Lemma 1.2, there exists (n − 1)(n+4) 2 edges among which (n − 1) vertices are of degree 4 and (n − 1) vertices are of degree n. Therefore we get the ... See full document

... the edge partition of graph of NPHX [ m, n ] nanotube based on the degree sum of vertices lying at unit distance from end vertices of each ... See full document

... other degree based topological indices like the Forgotten index, Zagreb and Banhatti indices of some derived graphs such as line graph, subdivision graph, vertex-semitotal graph, ... See full document

... and edge set () , | ()| = ...the edge connecting them will be denoted by . The degree of a vertex ∈ () is the number of vertices adjacent to and is denoted by () ... See full document

... on topological descriptors and their applications, Hosamani [20] proposed the Sanskruti index which can be utilized to guess the bioactivity of chemical compounds and shows good correlation with entropy of ... See full document

... [16]A.Asghar,M.Rafahat,W.Nazeer and W.Gao, K Banhatti and K hyper Banhatti indices of circulant graphs, International journal of advanced and applied sciences ,5(5) 2018,107-109. ... See full document

... W G   d u v ‎‎ The Wiener index is a classical distance based topological index. It was first introduced by H. Wiener [26] with an application to chemistry. The Wiener index has been extensively studied ... See full document

... undirected graphs. The vertex set and edge set of the graph G is denoted by V(G) and E(G) ...of edge coloring is obtained from ...1)- edge coloring of stars, trees, path graphs and ... See full document

... block edge transformation graphs are shown in Figures ...to edge 𝑒 𝑖 of 𝐺 and is refereed as ...the edge-vertices are denoted by circles and block-vertices are by ... See full document

... paper, some types of nodal anti fuzzy graph such as e-nodal, v-nodal, uninodal and binodal anti fuzzy graph are ...vertex degree and edge degree based concepts such as regular, totally ... See full document

... The concept of Geometric-Arthimetic degree (deg) index of a graph H, denoted by G/A deg(H), introduced by Mogharrab and Fath-Taber [2] is the following:.. Definition 1.1: Let H be a no[r] ... See full document

... The edge dominating set of a graph G = (V, E) is the subset F E such that each edge in E is either in F or is adjacent to an edge in ...maximum degree of an edge in G is defined as  ... See full document

... the vertex labeling of one end of the edge labeled with odd integer and the other end with even integer. Thus, in both the cases the entire ℓm edge labels are all distinct. Hence the [ℓ [m] ] is SD graph. ... See full document

... M.Sc. degree in from Mathematics from Sri Kr- ishnadevaraya university, Ananthapuramu, Andhrapradesh, India in 2005 and ...Ph.D. degree in Mathematics from Visvesvaraya Technological University (VTU), ... See full document

... an edge even graceful labeling is called an edge even graceful ...an edge even graceful labeling of the Peterson graph and the complete graph K 5 ... See full document