Generalized randic index

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August undefined, 2024

WebJun 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]. WebOct 1, 2024 · The branching index (also known as the connectivity index), introduced in Milan Randić’s seminal paper (J Am Chem Soc 97(23):6609–6615, 1975), is one of the the most famous, investigated, and ...

On Degree-Based Topological Indices of Thermodynamic ... - Hindawi

WebJan 1, 2008 · Gutman et al. have explained that the Randic index is used to form the Randic matrix [5]. eye also introduced the energy of the graphs [9, 10]; then, they extended this topic and defined the ... 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 … how old is hannon

[PDF] Zagreb indices of generalized transformation graphs and …

WebApr 26, 2024 · A numeric value associated with a graph is termed as topological index. Some of the well-known topological indices are degree-based, counting-related, and distance based topological indices. The generalized harmonic index, geometric arithmetic index, Kulli–Basava indices, and generalized power-sum-connectivity index are of the … WebDec 1, 2007 · The generalized Randić; index $ {R}_ {-\alpha} (T)$ of a tree T is the sum over the edges $ {u} {v}$ of T of $ (d (u)d (v))^ {-\alpha}$ where $ {d} (x)$ is the … 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. mercure maldives kooddoo resort holidaycheck

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On certain topological indices of the line graph of subdivision …

WebJan 1, 2009 · Abstract The general Randić index of a graph G is a graph invariant defined as Rα = Rα (G) = Σ/uv∈E (G) (d udv)α, where du denotes the degree of vertex u in G, E … 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 mercure maldives reviewWebJan 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\),... mercure maldives kooddoo resort 4 stars

"WebNov 15, 2015 · In QSAR/QSPR study, topological indices such as Shultz index, generalized Randic index, Zagreb index, general sum-connectivity index, atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index are utilized to guess the bioactivity of chemical compounds. A topological index in fact relates a chemical … " - Generalized randic index

Generalized randic index

On Randic, Seidel, and Laplacian Energy of NEPS Graph - Hindawi

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 … WebSep 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

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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. WebMay 1, 2005 · 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… Expand 380 Highly Influenced PDF View 2 excerpts, cites results and background

WebR¡ﬁ(T)• ﬂc(n+ 1) wheren=jV(T)jis the number of vertices ofT. For example, whenﬁ= 1,ﬂc=15 56. This bound is sharp up to the additive constant — for inﬁnitely manynwe … WebJan 11, 2024 · Abstract: For a simple graph $G(V,E)$, the zeroth-order general Randi\' c index is defined as $^0R_{\alpha}(G)=\sum_{v\in V(G)}d(v)^{\alpha}$, where $d(v)$ is …

WebSep 16, 2014 · The well-known Randić index of a graph G is defined as R (G)=∑ (du⋅dv)−1/2, where the sum is taken over all edges uv∈E (G) and du and dv denote the degrees of u and v, respectively. Recently, it... WebDec 1, 2007 · The generalized Randić; index of a tree T is the sum over the edges of T of where is the degree of the vertex x in T. For all , we find the minimal constant such that …

WebIn this research paper, we will compute the topological indices (degree based) such as the ordinary generalized geometric-arithmetic (OGA) index, first and second Gourava indices, first and second hyper-Gourava indices, general Randic´ index R γ G , for γ = ± 1 , ± 1 / 2 , harmonic index, general version of the harmonic index, atom-bond connectivity (ABC) …

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 … mercure maldives kooddoo all-inclusive resortWebFeb 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 . how old is hans soloWebThe Randić index, also known as the connectivity index, of a graph is the sum of bond contributions / / where and are the degrees of the vertices making bond i ~ j. History [ … how old is hannity on foxWebOct 29, 2024 · In QSPR and QSAR [13,14,15,16,17], Randic index is the oldest, very popular and more efficiently employed topological index. Bollabas and Erdos later … how old is hanni phamWebThe 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 … mercure manaus hotelELSEVIER Discrete Mathematics 200 (1999) 5-19 DISCRETE … We provide upper and lower bounds for L-energy based on its general Randi´c … Comparison between the Wiener index and the Zagreb indices and the eccentric … mercure maldives tripadvisorWebFeb 28, 2024 · The Randic energy of a graph can be evaluated by taking the absolute sum of the eigenvalues of the Randic matrix. If the eigenvalues of the Randic matrix are denoted by , then we can express the Randic energy of as [ 21 ] Milan Randic is the first person who has introduced the Randic index [ 22 ] such as Gutman et al. have explained that the ... how old is hans snook