On the minimum abc index of 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 … 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 Graphs of Minimum Degree At Least 3 Having Minimum …

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. 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. flange bearing sizes chart https://jd-equipment.com

Second Atom-Bond Connectivity Index of Special Chemical …

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 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 … 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 … can red foxes have heterochromia

[1804.02098] The evolution of the structure of ABC-minimal trees

Category:Efficient computation of trees with minimal atom-bond …

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On the minimum abc index of chemical trees

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

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 … 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.

On the minimum abc index of chemical trees

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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 … 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 …

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 …

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 …

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 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 … can red fox climb treesWeb5 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. can redgard be paintedWeb1 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 can red foxes be whitehttp://article.sapub.org/10.5923.j.am.20120241.02.html can red foxes retract their clawsWeb1 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 … flange binding a quiltWebThe 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 can red fox be tamedWebThe 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 … flange binding missouri star quilt co