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Generalized randic index

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 ... 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) …

On Generalized Topological Indices for Some Special Graphs

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... 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 … datediff decimal hours https://adventourus.com

On certain topological indices of the line graph of subdivision …

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. … 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 … 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. datediff decimal years

Sharp lower bounds for the general Randić index of trees with a …

Category:A sharp lower bound of the Randic index of cacti with r pendants

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Generalized randic index

Polynomials and General Degree-Based Topological Indices of Generalized ...

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. 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

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WebMay 1, 2008 · The general Randic index R (G) of a (chemical) graph G, is defined as the sum of the weights (d(u)d(v)) of all edges uv of G, where d(u) denotes the degree of a vertex u in G andan arbitrary real… 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

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 … 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 …

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 ...

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... bitzer\\u0027s mill covered bridgeWebThis 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 … bitzer-worldcup22 predictor game kicktippWebApr 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 bitzer water cooled chillerWebNov 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 … datediff en anglaisWebJan 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 … bitzfly mailWebFeb 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 . bitzer the dog shaun the sheepELSEVIER 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 … bitzer water cooled condenser