On the minimum abc index of chemical trees

Author: gtjv

August undefined, 2024

Web1 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 … 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 …

Some Properties on the Harmonic Index of Molecular Trees

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 … 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 … flowers in new prague mn

(PDF) On the Minimum ABC Index of Chemical Trees - ResearchGate

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 … 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. 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 … flowers in new orleans la

On the Minimum ABC Index of Chemical Trees Request PDF

Computation of M-Polynomial and Topological Indices of Phenol …

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. 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 … flowers in natureWebLemma 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 … green bean coffee shop altoona pa

"WebThe fourth, the fifth and the sixth maximum chemical trees values of ABC−R for chemical trees, and the corresponding extremal graphs are determined, and an upper bound for ABC −R index of such trees with given number of pendant vertices is obtained. 1 PDF View 1 excerpt, references results " - 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 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 set. de 2024 · Minimal values of VDB topological indices of chemical trees Let φ be a VDB topological index induced by the numbers {φ ( i, j )} (i,j) ∈ K and defined as (1). Since we are only interested in chemical trees, we may assume that K = { ( i, j) ∈ N × N: 1 ≤ i …

Did you know?

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

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

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 … 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 …

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 …

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 … green bean coffee shop spearfish sdWeb1 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 … flowers in north kingstown riWeb9 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 … flowers in north bayWebOn structural properties of ABC-minimal chemical trees Downloadable (with restrictions)! The atom-bond connectivity (ABC) index of a connected graph G is defined as … green bean coffee spearfishWeb6 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 … flowers in north hills caWeb1 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 … flowers in new rochelle utWeb1 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 … flowers in newcastle upon tyne