Generalized randic index
WebOct 29, 2024 · M-polynomial is a generalized form from which the topological indices are derived. Similarly, NM-polynomial is a concept from which neighborhood degree-based indices are derived from the generalized polynomial. Generally, connectivity indices are calculated based on its definition. WebJun 22, 2024 · Then, we obtain a generalized version of the handshaking lemma based on the concept of the clique value. We also define a generalized version of Randic index. …
Generalized randic index
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WebKeywords: topological index, Bismuth Tri-Iodide, Molecular graph, Zagreb index, Randic index, M-polynomial. Introduction BiI3 is an inorganic compound which is the result of the reaction of iodine and bismuth, which inspired the enthusiasm for subjective inorganic investigations [1]. ... Generalized Randic’ Index () () 1 xy((,)) 46125 46 22. xy WebThe generalized minimum Randic index´ problem is to find a subgraph H ∈ S b so that R α (H )= min{α F ∈ S b}. In what follows, we focus on the generalized minimum Randic …
WebA topological index attaches a chemical structure with a numeric number. There are numerous applications of graph theory in this field of research. In this paper we … WebThe general Randic index of an organic molecule whose molecular graph is G is defined as the sum of (d (u)d (v)) α over all pairs of adjacent vertices of G ,w hered (u) is the degree …
Web在给定一些图参数的条件下,得出了广义哈拉里指数的上下界. WebThis work considers the generalized transformation graphs Gab and obtains expressions for their first and second Zagreb indices and coindices and analogous expressions for the complements of Gab. We consider the generalized transformation graphsGab and obtain expressions for their first and second Zagreb indices and coindices. Analogous …
WebFeb 9, 2024 · The generalized Randićand reciprocal generalized Randićindices of are defined, respectively, by and . Definition 7. The symmetric division indexof is defined by the relation Definition 8. The harmonic, inverse sum, augmented Zagreb, and forgottenindices are defined, respectively, by ,,,and .
WebJun 30, 2024 · Obviously, the standard Randić index is obtained when α = − 1 2. In the chemical literature the quantity R 1 ( G) = ∑ v i v j ∈ E d ( v i) d ( v j). is called the second … la mamma ha poesiaWebJan 7, 2024 · For a graph G with vertex set \ (V_G\) and edge set \ (E_G\), the general Randić index \ (R_ {\alpha } (G)\) is defined as the sum of items \ ( (d_ud_v)^ {\alpha }\) of all edges \ (uv\in E_G\),... assassination classroom takaoka episodeWebNov 22, 2016 · The general Randić index is the sum of weights of (d_ {G} (x)d_ {G} (y))^ {\alpha} for all edges xy of G, where α is a real number. The graph G is a cactus if … assassination classroom svet serialuWebWiener Index and its various applications are discussed in [13–15]. Randić Index, , was introduced by Milan Randić in 1975, defined as . For general details about and its generalized Randić Index, refer [16–20], and the Inverse Randić Index is defined as . Clearly, is a special case of where . This index has many applications in diverse ... assassination classroom season 2 koro sensei deathWebApr 1, 2009 · The general Randic index of an organic molecule whose molecular graph is G is defined as the sum of (d(u)d(v)) α over all pairs of adjacent vertices of G ,w hered(u) is the degree of the vertex u in… Expand 7 Save Alert A Survey on the Randic Index Xueliang Li, Yongtang Shi Mathematics 2008 la mamma osteria lausanneWebSep 15, 2024 · The general Randic index Rα (G) of a (chemical) graph G, is defined as the sum of the weights (d (u)d (v))α of all edges uv of G, where d (u) denotes the degree of a vertex u in G and α an arbitrary real… 382 PDF On the Randić index of graphs C. Dalfó Mathematics Discret. Math. 2024 9 PDF la mamma mantovaWebJun 10, 2024 · The Randic index was introduced by Milan Randic in 1975 and defined as follows [18]: The generalized Randic index is defined as follows [19, 20]: For details, see [21–23]. ,,and were introduced by Gutman and Trinajstic in [24–26] as The symmetric division index is defined as [27] The harmonic index is defined as For details, see [28, 29]. assassination classroom timeline