Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 2

wiener index Related Abstracts

2 Topological Indices of Some Graph Operations

Authors: U. Mary

Abstract:

Let be a graph with a finite, nonempty set of objects called vertices together with a set of unordered pairs of distinct vertices of called edges. The vertex set is denoted by and the edge set by. Given two graphs and the wiener index of, wiener index for the splitting graph of a graph, the first Zagreb index of and its splitting graph, the 3-steiner wiener index of, the 3-steiner wiener index of a special graph are explored in this paper.

Keywords: first zagreb index, complementary prism graph, neighborhood corona graph, steiner distance, splitting graph, steiner wiener index, wiener index

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1 Hosoya Polynomials of Zero-Divisor Graphs

Authors: Abdul Jalil M. Khalaf, Esraa M. Kadhim

Abstract:

The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x= 1 is equal to the Wiener index and second derivative at x=1 is equal to the Hyper-Wiener index. In this paper we study the Hosoya polynomial of zero-divisor graphs.

Keywords: wiener index, Hosoya polynomial, Hyper-Wiener index, zero-divisor graphs

Procedia PDF Downloads 340