On the symmetric division deg index of graph
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. WebOn 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
On the symmetric division deg index of graph
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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. WebIn 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 inverse symmetric division deg index is defined and new results concerning these two graph indices are stablished. Finally, some bounds for both indices are presented. 展开
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. Web22 de abr. de 2009 · DS18B20 is a kind of 1-wire digital temperature sensor, with a wide measuring range from -55 °C to +125 °C, 9 - 12 bit digital temperature readout, and accuracy of ±0.5 °C. In the design, 12 bit resolution is chosen, and 3.3 V power supply is applied. Data acquision (DQ) pin is connected to pin P1.6 of the C8051F360.
WebA graph is d-regular if all its vertices have degree d; a graph is (a;b)-regular if its vertices have degree either a or b. (Beware: no bipartiteness is required in our definition of (a;b)-regular graph. For all graph theoretical terms the reader is referred to reference [15]). The symmetric division deg index of G, defined by SDD(G) = X (i;j ... Web10 de ago. de 2024 · Symmetric division degree index and inverse sum index of transformation graph. G Mohanappriya1 and D Vijayalakshmi1. Published under licence …
Weband then we explore new bounds for sdd-index. In continuing, the inverse symmetric division deg index is defined and new results concerning these two graph indices are stablished. Finally, some bounds for both indices are presented. Keywords Automorphism group · Edge-orbit · Symmetric division deg index · Graph invariants
Web7 de jul. de 2024 · Abstract: For a graph $G$ with vertex set $V_{G}$ and edge set $E_{G}$, the symmetric division deg index is defined as $SDD(G)=\sum\limits_{uv\in … ear medication dropsWeb1 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, … csus unofficial transcriptsWeb1 de jan. de 2024 · Sharp bounds on the symmetric division deg index of graphs and line graphs. Hechao Liu, Yufei Huang; Mathematics. 2024; For a graph G with vertex set V G and edge set E G , the symmetric division deg index is defined as SDD ( G ) = P uv ∈ E G ( d u d v + d v d u ), where d u denotes the degree of vertex u in G . In … csu surgery vetWeb16 de dez. 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 … csus vocational rehabilitationWebGiven 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 … ear medication for waxWebIn this article, we characterize the SDD index for the class of all 𝑛- vertex tricyclic and tetra-cyclic graphs. Index Terms— Symmetric division deg index, cyclomatic number, … ear medication for dogWeb1 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 … ear medical specialist