On the minimum abc index of chemical trees

Author: bbeo

August undefined, 2024

Web1 de jul. de 2004 · We report here the results of the search for pairs of equienergetic acyclic molecular graphs (chemical trees) with the same number n of vertices. There are very … Web9 de jun. de 2024 · Chem. 76 (2016) 131-140] gave rise to a conjecture about the minimum possible ABC-index of trees with a fixed number of leaves. We show that this conjecture …

Efficient computation of trees with minimal atom-bond …

Web1 de nov. de 2013 · Given greedy trees perturbed by different degree sequences, we investigate the behaviors on their ABC index in this paper. Moreover, we also give the … Web1 de ago. de 2014 · The atom-bond connectivity (ABC) index of a connected graph Gis defined as ABC(G)=∑uv∈E(G)d(u)+d(v)−2d(u)d(v),where d(w) is the degree of vertex win Gand E(G) is the set of edges of G. Given greedy trees perturbed by different degree sequences, we investigate the behaviors on their ABC index in this paper. high on life 汉化补丁

(PDF) Equienergetic chemical trees - ResearchGate

Web1 de mar. de 2000 · As far as we know, the mathematical properties of related indices for molecular trees have been studied extensively. For example, Gutman et al. [13, 14] … Web2 de mai. de 2024 · The atom-bond connectivity (ABC) index provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes. For certain physicochemical properties, the predictive power of GA index is somewhat better than predictive power of the Randić connectivity index. Web1 de fev. de 2012 · implications to the minimum/maximum ABC index on graphs. With relation to trees, it is known that among all the trees of the same number of vertices, the … high on life 汉化

On structural properties of ABC-minimal chemical trees

The Maximal ABC Index of the Corona of Two Graphs

WebThe paper outlines the results known for W of trees: methods for computation of W and combinatorial expressions for W for various classes of trees, the isomorphism–discriminating power of W, connections between W and the center and centroid of a tree, as well as between W and the Laplacian eigenvalues, results on the … Web4 de fev. de 2024 · Abstract. For a graph , its sum-connectivity index is denoted by and is defined as the sum of the numbers over all edges of , where denotes the degree of a vertex . In this study, we find a sharp lower bound on the sum-connectivity index of graphs having minimum degree of at least 3 under certain constraints and characterize the … high on life 汉化下载Web1 de dez. de 2024 · As applications, we determine the minimum ABC index and its structural properties of the chemical trees with n vertices and p pendant vertices in the case n ≥ 3 … high on life中文版

"WebOn structural properties of ABC-minimal chemical trees Downloadable (with restrictions)! The atom-bond connectivity (ABC) index of a connected graph G is defined as ABC(G)=∑uv∈E(G)d(u)+d(v)−2d(u)d(v), where d(w) is the degree of vertex w in G and E(G) is the set of edges of G. " - On the minimum abc index of chemical trees

On the minimum abc index of chemical trees

Molecules with smallest connectivity indices Request PDF

Web6 de abr. de 2024 · The atom-bond connectivity (ABC) index is a degree-based molecular descriptor that found diverse chemical applications. Characterizing trees with minimum ABC-index remained an elusive open problem even after serious attempts and is considered by some as one of the most intriguing open problems in mathematical … Web13 de abr. de 2010 · Inspired by recent work on the atom-bond connectivity (ABC) index we propose here a new topological index, augmented Zagreb index (AZI). The tight upper …

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Web12 de set. de 2024 · The ABC index plays a key role in correlating the physical–chemical properties and the molecular structures of some families of compounds. In this paper, we describe the structural properties of graphs which have the minimum ABC index among all connected graphs with a given degree sequence. Web1 de dez. de 2024 · In this paper, we present an efficient approach of computing trees with minimal ABC index, by considering the degree sequences of trees and some known …

WebThere are several vertex distance-based and degree-based indices which are introduced to analyze the chemical properties of molecule graph, for instance, Wiener index, PI index, Szeged index, and atom-bond connectivity index. Web16 de jul. de 2009 · On the other hand, we strengthen a conjecture of Gutman et al. [Z. Naturforsch. 62a (2007), 495] that the Volkmann trees have maximal Estrada index among the trees with fixed maximum degree Δ, by conjecturing that the Volkmann trees also have maximal even spectral moments of any order.

Web9 de jun. de 2024 · The atom-bond connectivity (ABC) index is a degree-based molecular descriptor with diverse chemical applications. Recent work of Lin et al. [W. Lin, J. Chen, C. Ma, Y. Zhang, J. Chen, D. Zhang, and F. Jia, On trees with minimal ABC index among trees with given number of leaves, MATCH Commun. Math. Comput. Chem. 76 (2016) … Web15 de nov. de 2024 · Experimental method for determining deformation in ABS and ABS-PC plastic when simulated by the method of layer-by-layer fusing and comparison thereof when altering printing conditions: AIP Conference Proceedings: Vol 2171, No 1 No Access Published Online: 15 November 2024

Web2 de abr. de 2024 · The ABC index of attains the maximum value if and only if both and are complete graphs. If the ABC index of attains the minimum value, then and must be trees. (2) Let and be trees. Then, the ABC index of attains the maximum value if and only if is a path and is a star. 1. Introduction

http://article.sapub.org/10.5923.j.am.20120241.02.html high on life 汉化版WebIn this paper we further investigate the trees that minimize the ABC index. Our investigations are limited to chemical trees, i.e. trees in which the maximum vertex degree is 4. The … high on life中文名Web15 de out. de 2024 · In this paper, we significantly refine the known features of the degree sequence of a tree with minimal ABC index. With the refined features a search program … high on life 字幕Web19 de set. de 2014 · Furtula et al. [ 12 ], in the first serious mathematical works on ABC index obtained the chemical trees with extremal ABC values. They proved that, among all trees, the star tree, S_n, has the maximal ABC value. high on life中文补丁 3dmWebOn structural properties of ABC-minimal chemical trees Downloadable (with restrictions)! The atom-bond connectivity (ABC) index of a connected graph G is defined as … how many american live in the usaWeb1 de fev. de 2012 · A complete characterization of trees with minimal $ABC$ index is still an open problem. In this paper, we present new structural properties of trees with … high on life中文汉化WebFor , if , then Corollary 10 implies that is the unique molecular tree with the minimum harmonic index; if , then Theorem 8 and Lemma 9 imply that is the unique molecular tree with the minimum harmonic index. If , then is not a molecular tree. The following gives the smallest value for with .. Theorem 11. Let and .Then the equality holds if and only if for … high on life中文包