Harmonic index of graphs
WebApr 15, 2012 · The harmonic index of a graph G, denoted by H(G), is defined as the sum of weights 2/[d(u) + d(v)] over all edges uv of G, where d(u) denotes the degree of a … 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.
Harmonic index of graphs
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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 … 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 , …
WebThe harmonic index of a connected graph G , denoted by H (G) , is defined as H (G)=∑ uv∈E (G) 2d u +d v where d v is the degree of a vertex v in G. In this paper, expressions … WebApr 15, 2012 · The harmonic index of a graph is defined as the sum of weights of all edges of , where denotes the degree of a vertex in . In this note we generalize results of [L. …
WebThe harmonic index of is defined in [ 1] as where the summation goes over all edges of . This index was extensively studied recently. For example, Zhong [ 2, 3] and Zhong and Xu [ 4] determined the minimum and maximum values of the harmonic index for simple connected graphs, trees, unicyclic graphs, and bicyclic graphs, respectively. WebApr 23, 2024 · The inverse sum indeg index of a connected graph G is defined as the sum of the ratio d G ( u) d G ( v) d G ( u) + d G ( v) for all edges uv in the edge set of G, where d G ( u) denotes the degree of a point u. Recently, Pattabiraman [ 7] has obtained bounds for the inverse sum indeg index of graphs. The upper and lower bounds …
WebThe harmonic index of a graph G is defined as the sum of the weights 2 d (u) + d (v) of all edges uv of G, where d (u) denotes the degree of a vertex u in G. In this work, we present the minimum and… Expand 5 PDF Further Results on Harmonic Index and Some New Relations Between Harmonic Index and Other Topological Indices
WebMar 18, 2015 · In this work, we present the minimum and maximum values of the harmonic index for unicyclic graphs with given girth, and characterize the corresponding extremal graphs. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 211,263,669 papers from all fields of science ... geometrics ss finding what term is itWebJul 6, 2024 · The topological indices exist in crisp but new to the fuzzy graph environment. This paper explains about the indices in fuzzy graph theory. In this paper, we discuss about new term definitions on Zagreb indices, Harmonic index, Randić index, Estrada index and Padmakar–Ivan index. Bounds for Zagreb indices are proved. christain free movies free on tubiWebMar 1, 2024 · Harmonic index) and the line graphs had been considered in [4, 5,24,27]. We take further the line by investigating the SDD index. ... Sharp bounds on the symmetric division deg index of... christain fellowship edmontonWebMar 1, 2024 · The harmonic index of a graph G is defined as, where d(u) denotes the degree of a vertex u in G. Let G(n; k) be the set of simple n-vertex graphs with minimum degree at least k. In this work we ... christain flyer designWebThe harmonic index of a graph G G is defined as the sum of weights 2 d(v)+d(v) 2 d ( v i) + d ( v j) of all edges vivj v i v j of G G, where d(vi) d ( v i) denotes the degree of the vertex … geometric square wall shelfWebMar 2, 2024 · The harmonic index of a graph G is defined as the sum of the weights \frac {2} {\hbox {deg} _G (u)+\hbox {deg} _G (v)} of all edges uv of G, where \hbox {deg} … christain family fellowship live streamingWebConic Sections: Parabola and Focus. example. Conic Sections: Ellipse with Foci christain forum net