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Generalized randic index

WebIn this paper, we computed generalized Randić, general Zagreb, general sum-connectivity, ABC, GA, ABC4 and GA5 indices of the Para-line graph of V-Pantacenic nanotube, H-Pantacenic nanotube... WebNov 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 …

[PDF] The generalized Randić index of trees Semantic …

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. WebFeb 3, 2024 · In 1998 Bollobás and Erdös generalized the Randić index by replacing 1/2 by any real number. Thus, for \(\alpha \in \mathbb {R}\setminus \{0\}\) , the general Randić … building supply outlet ma https://xtreme-watersport.com

M-polynomial and neighborhood M-polynomial methods for …

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 ... WebIt is also shown that this new iterative method has convergence of order nine and has efficiency index 1.7321. Moreover, some examples are given to check its validity and efficiency. WebJun 29, 2024 · The generalized Randic index is defined as In 1972. Gutman and Trinajsti introduced the Zagreb indices and applied them to the branching problem. The first Zagreb index and second Zagreb index are defined as follows: Shirdel et al. raised up the hyper-Zagreb index: The Zagreb ... crows foot fitting

Trees with maximum exponential Randić index Semantic Scholar

Category:Zeroth-order general Randic index of $k$-generalized …

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Generalized randic index

On certain topological indices of the line graph of subdivision …

WebJan 27, 2024 · Abstract: The GA index is a topological index was defined as GA (G)= in which degree of a vertex u denoted by du. Atom bond connectivity index is another topological index was defined as... 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 …

Generalized randic index

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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... 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) …

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 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.

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 ... 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 …

WebOct 13, 2024 · The exponential Randić index of a graph G is defined as the sum of the weights e 1 √d ( u) d ( v) of all edges uv of G, where d(u) denotes the degree of a vertex …

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 building supply oxfordWebThe 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 [ … building supply oxford ncWebAug 5, 2024 · Randic and Inverse General Randic, Harmonic, Symmetric Division and Inv erse Sum index of generalized wheel networks W x,y . Keywords: Wheel graph, M-polynomial, indices. building supply outlet pensacola flWebJun 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 … building supply outlet phoenixWebThe 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 … crow’s foot notation คือWebOct 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 … building supply overstockWebThis 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 … crows foot pottery