2024 Generalized randic index

Generalized randic index

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August undefined, 2024

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. 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 …

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

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 … 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. portable power stations with solar panels

Journal of Prime Research in Mathematics

WebApr 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 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 … 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 … irs ca disaster relief

(a) A subdivision graph of graphene Gt,s, (b) A line graph of ...

Conjugated trees with minimum general Randic index

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 … 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) … irs ca filing deadlineWebWiener 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 ... irs ca gov

"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 … " - Generalized randic index

Generalized randic index

M-polynomials and degree-based topological indices of …

WebFeb 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 ... 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 …

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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 ... WebThe 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 [ …

WebThe generalized Randic´ index Rα(G) of a graph G is the sum of (dG(u)dG(v))α over all edges uv of G. Using a linear-programming approach, we establish results on graphs … 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 …

WebAug 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. 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.

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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… irs ca mileage rates irs caa forensicELSEVIER 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 … portable power supply for christmas lightsWebSep 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... irs ca gov wheres my refundWebSep 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 irs ca numberWebJun 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 … irs ca mailing addressWebOct 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 … portable power supply for smartphones