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On the symmetric division deg index of graph

Web17 de jun. de 2024 · Therefore, we present the maximum symmetric division deg indices of unicyclic graphs and bicyclic graphs with given matching number. Furthermore, we … Webthe symmetric division deg index, is included in the list of 148 discrete Adriatic indices and is a very good predictor of total surface area of polychlorobiphenyls (PCB). The symmetric division deg indexof a graph . G. is defined by ( ) { } { } { } ~ { } min , max ,. max , min , ij ij ij ij ij. dd dd R RG dd dd = = + ∑. The concept of the ...

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Web1 de set. de 2024 · The Symmetric division deg (SDD) index is a well-established valuable index in the analysis of quantitative structure-property and structure-activity relationships for molecular graphs. In this paper, we study the range of SDD-index for special classes of trees and unicyclic graphs. We present the first four lower bounds for … Web27 de ago. de 2024 · The symmetric division deg (SDD) index of a simple graph G is defined as SDD(G) = uv∈E(G) (du dv + dv du), where E(G) is the edge set of G and du denotes … how do i add gmail icon to my home screen https://fusiongrillhouse.com

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Web15 de mai. de 2024 · In this work, by a graph, we mean a simple, finite and connected one. The symmetric division deg index a graph invariant based on degree of vertices and it is defined as follows: (1) SDD (G) = ∑ u v ∈ E (G) d u 2 + d v 2 d u d v, where d u and d v denotes the degrees of vertices u and v. WebIn this paper, we determine some sharp bounds on the symmetric division deg index of graphs and line graphs and characterize the corresponding extremal graphs. Keywords line graph, symmetric division deg index, bound. Mathematics Subject Classification: 05C07, 05C09, 05C92 1 Introduction We use U to denote the cardinality of set U. Web6 de set. de 2024 · Abstract. The symmetric division deg (SDD) index is among the 148 discrete Adriatic indices that were developed about a decade ago. Motivated by the … how much is jay swingler worth

GRAPH OPERATIONS ON THE SYMMETRIC DIVISION DEG INDEX …

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On the symmetric division deg index of graph

Extremal symmetric division deg index of molecular trees and …

Web2 de jun. de 2024 · Title: Analytical and computational properties of the variable symmetric division deg index Authors: R. Aguilar-Sanchez , J. A. Mendez-Bermudez , Jose M. Rodriguez , Jose M. Sigarreta Download PDF WebGiven a square matrix A over the integers, we consider the Z-module M A generated by the set of all matrices that are permutation-similar to A.Motivated by analogous problems on signed graph decompositions and block designs, we are interested in the completely symmetric matrices a I + b J belonging to M A.We give a relatively fast method to …

On the symmetric division deg index of graph

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WebOn the Maximum Symmetric Division Deg Index of k-Cyclic Graphs Abeer M. Albalahi and Akbar Ali Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il, Saudi Arabia Correspondence should be addressed to Akbar Ali; [email protected] Received 19 May 2024; Accepted 26 July 2024; Published 27 August 2024 Web27 de ago. de 2024 · VDOMDHTMLtml>. On the Maximum Symmetric Division Deg Index of -Cyclic Graphs. Let

WebThe symmetric division deg (SDD) index is one the 148 discrete Adriatic indices, introduced several years ago. The SDD index has already been proved a valuable index in the QSPR/QSAR (quantitative structure-property/activity relationships) studies. WebGraph Operations on the symmetric division deg index of graphs 281 Denition: 2 The Symmetric division deg index of a connected graph G, is dened as SDD(G) = ∑ …

WebWe explore here some mathematical properties and present explicit formulas for this new index under several graph operations. 2010 Mathematics Subject Classifications. 05C12, 05A15, 05A20, 05C05. . Let G = (V, E) be a graph. ... The Symmetric division deg index of a connected graphG, is de ned as SDD(G) = ∑ uv∈E(G) ... Web2 de mai. de 2024 · The symmetric division index is defined and used to determine surface of polychlorobiphenyls and formulated as The ... S. B. Shwetha, and P. S. Ranjini, “On the symmetric division deg index of graph,” Southeast Asian Bulletin of Mathematics, vol. 40, no. 1, pp. 41–51, 2016.

Web18 de set. de 2024 · the symmetric division deg index, is included in the list of 148 discrete Adriatic indices and is a very good predictor of total surface area of polychlorobipheny ls …

Web1 de dez. de 2024 · In 2024, Furtula et al. proved that the symmetric division deg index is a viable and applicable topological index in QSPR/QSAR investigations. In this article, … how do i add gif to teamsWebIn this paper, we investigate some properties of this graph invariant in terms of orbit structure of a graph and then we explore new bounds forsdd-index. In continuing, the … how do i add google chrome to my taskbarWeb1 de dez. de 2024 · In addition, we get a lower bound on symmetric division deg index for all molecular (n, m, p)-graphs (n-order molecular graphs with m ≥ n edges and p > 0 pendant vertices). Introduction In mathematical chemistry, topological indices are numerical quantities associated with molecular chemical structure, and they play crucial roles in … how do i add google drive to my quick accessWeb24 de mar. de 2024 · A symmetric graph is a graph that is both edge- and vertex-transitive (Holton and Sheehan 1993, p. 209). However, care must be taken with this definition since arc-transitive or a 1-arc-transitive graphs … how do i add glyphs to a cricut fontWebOn the Inverse Symmetric Division Deg Index of Unicyclic Graphs Abeer M. Albalahi and Akbar Ali * Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia * Correspondence: [email protected] Abstract: The symmetric division deg (SDD) index is among the 148 discrete Adriatic indices that how do i add giphy to slackWeb1 de jun. de 2024 · For another, the symmetric division deg index is proven to be a potentially useful molecular descriptor in quantitative structure-property/activity … how do i add google chrome icon to taskbarWeb1 de dez. de 2024 · We get a lower bound on symmetric division deg index for all molecular (n,m,p)-graphs (n-order molecular graphs with m≥nedges and p>0pendant … how much is jaydayoungan worth