On the minimum abc index of chemical trees

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August undefined, 2024

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 Web6 de abr. de 2024 · 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 …

On the Minimum ABC Index of Chemical Trees

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 … Web6 de jun. de 2010 · The lower and upper bounds on ABC index of chemical trees in terms of the number of vertices were obtained in [3]. Also, it has been shown that the star K 1, n − 1, has the maximal ABC value of trees. birthday cake for delivery

Some Properties on the Harmonic Index of Molecular Trees

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 … Web5 de jun. de 2024 · As an interesting problem, we propose to characterize the trees with the minimum value of this index, and, here, we have some structural properties of these trees. We conclude this paper with few conjectures for possible further work. 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 … danish cancer society tanning

Remarks on Multiplicative Atom-Bond Connectivity Index

The Estrada index of chemical trees SpringerLink

Web1 de out. de 2012 · Our algorithm for identifying the minimum-ABC tree(s) consists of two successive steps: (1) Generating the trees using a recursive scheme. (2) Computing the … 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) … birthday cake for edWebLemma 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 … birthday cake for daughter

"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 … " - On the minimum abc index of chemical trees

On the minimum abc index of chemical trees

On structural properties of ABC-minimal chemical trees

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 out. de 2012 · The ABC index is a degree-based molecular structure descriptor, that found chemical applications. Finding the connected graph(s) of a given order whose ABC …

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Web1 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 physico-chemical properties, the predictive power of GA index is somewhat better than predictive power of the Randić connectivity index. In this paper, we have studied the 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.

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 … 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 …

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 …

Web1 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 …

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. birthday cake for drawingWeb2 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 danish canadian club calgary menuWeb1 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 … danish candlesWeb13 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. birthday cake for dogs pets at homeWeb12 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 … birthday cake for doctor husbandhttp://www.sapub.org/global/showpaperpdf.aspx?doi=10.5923/j.am.20120241.02 danish candle shop ettlingenWeb1 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] … danish cafe brisbane