Harmonic index of graphs
WebEccentric harmonic index of a graph. MI Sowaity, M Pavithra, B Sharada, AM Naji. Arab Journal of Basic and Applied Sciences 26 (1), 497-501, 2024. 5: 2024: On leap eccentric connectivity index of graphs. S Pawar, AM Naji, ND Soner, IN Cangul. Communnication, 2024. 4: 2024: Resolving connected domination in graphs. 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 …
Harmonic index of graphs
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WebThe harmonic index H(G) of a graph is defined as the sum of 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 paper, we first … WebCorpus ID: 125264554; HARMONIC INDEX AND RANDI\'{C} INDEX OF GENERALIZED TRANSFORMATION GRAPHS @article{Ramane2024HARMONICIA, title={HARMONIC …
WebAbstract. The 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 vi v i in G G. In this paper, we study how the harmonic index behaves when the graph is under perturbations. These results are used to provide a ... WebApr 1, 2024 · Harmonic Index V.Lokesha, A. Usha, Ranjini P S and Deepika T, Harmonic index, Redefined Zagreb indices of Dragon Graph with Complete Graph,Asian Journal of Mathematics and Computer...
WebMar 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} … WebA harmonic is a wave with a frequency that is a positive integer multiple of the fundamental frequency, the frequency of the original periodic signal, such as a sinusoidal wave.The …
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 ...
cardigan comprehensive schoolWebFor 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) … cardigan churchWebMar 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 ... bromonaphthalene safetyWebThe 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. bromont main streetWebMar 22, 2024 · Fuzzy graph theory was invented by Rosenfeld. It is the extension of the work of L.A. Zadeh on fuzzy sets. Rosenfeld extracted the fuzzy-related concepts using the graph theoretic concepts. Topological indices for crisp theory have already been discussed in the literature but these days, topological index-related fuzzy graphs are much … bromont competitionWebJan 1, 2024 · The harmonic index of a graph G is defined as the sum of weights 2 d (u)+d (v) over all edges uv of G, where d (u) and d (v) are the degrees of the vertices u and v in G, respectively. A graph G ... cardigan chain clipWebThe 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 … cardigan cabin in candlelight version