WebFeb 16, 2024 · The harmonic index of a graph () is defined as the sum of the weights for all edges of , where is the degree of a vertex in . In this paper, we show that and , … WebNov 15, 2024 · Suppose ρ is a simple graph, then its eccentric harmonic index is defned as the sum of the terms 2/e a + e b for the edges v a v b , where e a is the eccentricity of the a th vertex of the graph ρ.

On the harmonic index of graph operations – DOAJ

WebDec 1, 2015 · The harmonic index of a connected graph G, denoted by H (G), is defined as H (G) = ∑ uv∈E (G) 2 du+dv where dv is the degree of a vertex v in G. In this paper, expressions for the Harary indices of the join, corona product, Cartesian product, composition and symmetric difference of graphs are derived. View via Publisher Save to … WebMay 2, 2024 · Topological indices are numerical parameters of a graph that characterize its topology and are usually graph invariant. They describe the structure of molecules numerically and are used in the development of quantitative structure … how to win gunfights in rainbow six siege

On the harmonic index of quasi-tree Graphs

WebFor a connected graph G G of order n n, the harmonic index of G G is the sum of weights 2 d(u)+d(v) 2 d ( u) + d ( v) over all edges uv u v of G G, where d(u) d ( u) and d(v) d ( v) … WebOne of the best known graph invariants successfully applied in chemical graph theory over the last decade is the harmonic index. It is defined for a graph G as the sum of the … WebDec 11, 2015 · The harmonic index of a graph G is defined as the sum of weights \frac {2} {d (u)+d (v)} over all edges uv of G, where d ( u) and d ( v) are the degrees of the … how to win halo in royale high