Randic index

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August undefined, 2024

Webb4)information topological index信息拓扑指数 1.An information topological index based on Randic M.为了探讨有机化合物的分子结构与理化性质的关系 ,作者在以前的工作基础上 ,基于一阶分子连通性拓扑指数构建了一个信息拓扑指数。 5)geometric topology information几何 …

[2106.16044] Energy and Randic index of directed graphs - arXiv.org

WebbTheorem 1.1: The Randi𝑐 Indices of Linear Chain of (Dimer 1) is given by (i) R(LC n )= 17.93266n– 0. 03368 (ii) R𝛂 (LC n ) = (8𝛂n+ 4) 4 + (8n+ 4) 6𝛂+ (32n– 11) 9𝛂 (iii) RR(LC n ) = 131.59592n– 15.20244 (iv) RRR(LC n ) = 83.3137n – 12.34315 Proof: Let κ, ∊𝐸 (𝐿𝐶 and (κ) and 𝜂ϑ)are the degree of κ and degree of ϑ respectively, (i)R(LC n (8 +4) 2 Webb1 jan. 2008 · The Randic index is one of the most important and generally considered and applied topological index. Numerous surveys, papers and books [11][12][13] [14] [15][16] … lightning danced across the sky metaphor

拓扑信息,topological information英语短句,例句大全

WebbThese indices in some way reﬂect not only the size and shape of a molecule but also their connectivity, i.e. the way their atoms are linked. Among the numerous topolog-ical indices considered in chemical graph theory, only a few have been found noteworthy in practical applications [12]. One of these is the connectivity or Randic index´ ˜, con- WebbWe prove that Erdos-Renyj (ER) graphs are a good specimen of robust graphs because they lack of a clear modular structure; we derive an analytical expression for the Randic index … Webb4 apr. 2024 · 3. Conclusion. In this study, the computation of the first Zagreb index, the second Zagreb index, the F-index, the general Randic index, and the redefined Zagreb index has been made, and their comparisons have been drawn with their corresponding -Zagreb indices for the line graph of the graph obtained by the rooted product of the cycle and … lightning damage to electrical equipment

Randic index of bipolar fuzzy graphs and its application in network ...

Estimating Graph Robustness Through the Randic Index

http://scholarsmepub.com/wp-content/uploads/2024/08/SJEAT-27274-279.pdf WebbFor a graph, the SK index is equal to the half of the sum of the degrees of the vertices, the SK 1 index is equal to the half of the product of the degrees of the vertices, and the SK 2 index is equal to the half of the square of the sum of the degrees of the vertices. This paper shows a simple and unified approach to the greatest SK indices for unicyclic graphs by … lightning damage electronicsWebb27 dec. 2024 · These indices have been observed to provide better correlation than the Randic, Weiner, and Zagreb indices for predicting some specific physical and chemical properties of octane isomers. Recently, a lot of work is done in the direction of computing newly defined ve degree and ev degree-based indices [ 19 – 23 ]. peanut butter cheesecake swirl brownies

"Webb30 juni 2024 · The concept of Randic index has been extended recently for a digraph. We prove that , where is a digraph, and denotes the Randic index, denotes the Nikiforov … " - Randic index

Randic index

(PDF) Randić Index of a Line Graph - ResearchGate

WebbThe General Randic Index and the Randic index of alkyl or branches of alkyl ( ) are: {R(G)= √ √ + Proof:-we have two cases Case 1. If n = 1, then we have three edges every edge is an incident on a vertex with 𝜌 and a vertex with 𝜌 Hence by definition of General Randic index; we get the following: √ Case 2. Webb19 nov. 2024 · Yet, the first such relation was discovered by Arizmendi and Arizmendi [1], who showed that ε (G) ≤ 2 R (G), where R (G) is the Randić index, F (x, y) = 1/ √ x y. This …

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Webb22 sep. 2024 · The Randic index R(G) was used to determine the topology of linear and branched alkanes with eight or less carbon atoms. Randic [2] further stated that the degree of branching of the molecular skeleton is very important in determining some molecular parameter such as boiling points of hydro-carbons. Webbindex M1, first Zagreb index by valence vertex degrees, second Zagreb index M2, second Zagreb index by valence vertex degrees, Quadratic index, Narumi simple topological index (log), Narumi harmonic topological index, Narumi geometric topological index, Total structure connectivity index, Pogliani index, ramification index, polarity number, log of …

WebbThe Randić index of a graph G, denoted by , is defined as the sum of for all edges of G, where denotes the degree of a vertex u in G. In this note, we show that for any tree T of … Webb11 apr. 2024 · Graph Irregularity Indices used as Molecular Descriptors in QSPR studies and Randic Index, Irregularity, and complex biomolecular networks are also extensively discussed [13, 14]. The expected values of arithmetic bond connectivity and geometric indices in random phenylene chains are clearly presented [ 15 – 22 ].

Webb28 sep. 2024 · Tetrahedral network is considered as an effective tool to create the finite element network model of simulation, and many research studies have been … WebbIn the following, we discuss the relation between modiﬁed Sombor index and general Randic index R 1(G). The general Randic index is deﬁned as R 1(G) = P uv2E(G) 1 d ud v. Theorem 2.9. LetG be a simple graph with maximum degree , minimum degree and general Randic index R 1(G). Then p 2 2 R 1(G) mSO(G) p 2 2 R 1(G); with equality i G is a ...

WebbThe bismuth tri-iodide ( B i I 3 ) is an inorganic compound. It is the result of the response of bismuth and iodine, which has inspired enthusiasm for subjective inorganic investigation. The topological indices are the numerical invariants of the molecular graph that portray its topology and are normally graph invariants. In 1975, Randic presented, in a bond-added …

Webb31 mars 2016 · The Randić index of a graph is defined as follows: where denotes the degree of a vertex and the summation runs over all edges of . This topological index was first proposed by Randić [24] in 1975, suitable for measuring the extent of branching of the carbon-atom skeleton of saturated hydrocarbons. lightning dance teamWebb30 sep. 2024 · There are many interesting attributes on topological indices, and different physicochemical properties of hydrocarbons can be obtained from this index [11–16]. The predictive power of the GA index is compared with … peanut butter cherry cookiesWebb1 apr. 2011 · The Randić index R (G) of a graph G is defined as R (G) = ∑ u v ∈ E (G) 1 deg (u) deg (v). It is also known as connectivity index or branching index. Randić [11] in 1975 … lightning damage wand buildWebb29 mars 2024 · Theorem 1. Let G be the boron B 12 network with and , then. Proof. In G, there are total vertices. There are vertices of degree 2, vertices of degree 3, vertices of degree 4, and vertices of degree 5. Since M α is expressed in equation (), In the following six theorems, we considered the Randic index, sum connectivity index, ABC index, GA … peanut butter cheesecake recipe delishWebb29 apr. 2024 · The Randić index of a graph G, denoted by R (G), is defined as the sum of 1/d (u)d (v) for all edges uv of G, where d (u) denotes the degree of a vertex u in G. In this … peanut butter chewy commercialWebb30 sep. 2024 · Abstract: The Randic index χ is possibly the graph-based molecular structure descriptor most widely applied in chemistry and pharmacology. Having in mind … lightning dancer trophyWebb1 jan. 2008 · The general Randic index R (G) of a (chemical) graph G, is defined as the sum of the weights (d (u)d (v)) (alpha) of all edges uv of G, where d (u) denotes the degree of … peanut butter chew sticks for dogs