On the minimum abc index of chemical trees

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August undefined, 2024

Web1 de dez. de 2024 · 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 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 …

On structural properties of ABC-minimal chemical trees

Web1 de dez. de 2024 · Although we deal with the case of the chemical trees with n vertices and p pendant vertices for n ≥ 3 p − 2, these new methods are significative attempt in … 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 … how to stop bot calls

The structure of ABC-minimal trees with given number of leaves

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) … 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 … Web7 de jan. de 2014 · The cardinalities of V ( G) and E ( G) are called the order and size of G, respectively. The atom-bond connectivity index ( ABC index for short) of G is defined as \begin {aligned} ABC (G) = \sum_ {uv\in E (G)} \sqrt {\frac {d (u)+d (v)-2} {d (u)d (v)}}, \end {aligned} where d ( u) is degree of the vertex u. how to stop bothering people

Atom–bond connectivity index of graphs: a review over extremal ...

A note on chemical trees with minimum Wiener polarity index

Web1 de fev. de 2012 · In fact, this is true for chemical trees with n≤6. n=2 This is the only possible arrangement for a chemical tree with 2 vertices. n=3 The chain is once again the only option. n=4 n=5 n=6 Thus for n≤6, the chain has the minimal ABC index. 4.3. Boris … 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. how to stop bothering someoneWeb1 de jan. de 2012 · On the Minimum ABC Index of Chemical Trees Authors: Tzvetalin S. Vassilev Nipissing University Laura J. Huntington Abstract The Atom Bond Connectivity … how to stop bot traffic

"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

On structural properties of ABC -minimal chemical trees

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. http://article.sapub.org/10.5923.j.am.20120241.02.html

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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 … 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.

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 … http://www.sapub.org/global/showpaperpdf.aspx?doi=10.5923/j.am.20120241.02

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 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 …

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.

Web13 de abr. de 2010 · Abstract 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 and lower bounds for chemical trees are obtained. Moreover, it has been shown that among all trees the star has the minimum AZI value. reaction to gluten after not eating itWeb6 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 … how to stop bot followers on twitterWeb1 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] … reaction to got7 songsWebThere 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. how to stop bot in telegram reaction to gold ringWeb15 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 how to stop both iphones from ringingWebLemma 1. Let and be positive integers such that . If is a tree such that is minimum among all the trees of , then contains at most one pendent path of length greater than 1.. Proof. Suppose, contrarily, that and are two pendent paths in , where and (note that the vertices and may coincide). If , then , and we have a contradiction to the choice of . Lemma 1 … reaction to grateful dead