2024 Line graph of triangular benzenoid

Line graph of triangular benzenoid

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August undefined, 2024

Nettet29. des. 2016 · A topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compute closed forms of first Zagreb, second Zagreb, and forgotten polynomials of … NettetBenzenoid molecular graphs are systems with deleted hydrogens. It is a connected geometric figure obtained by arranging congruent regular hexagons in a plane, so that two hexagons are either disjoint or have a common edge. This figure divides the plane into one infinite (external) region and a number of finite (internal) regions.

Triangular benzenoid. Download Scientific Diagram - ResearchGate

Nettetprocesses Article Irregularity Molecular Descriptors of Hourglass, Jagged-Rectangle, and Triangular Benzenoid Systems Zafar Hussain 1, Shazia Raﬁque 2, Mobeen Munir 3,* … NettetRecently, a new method developed to solve numerical problems by the concept of graph theory called Hosoya polynomial, one can refer for graph theory terminologies and … iota wallet github

Free Full-Text Novel Face Index for Benzenoid Hydrocarbons

NettetKeywords: benzenoid systems; irregularity measures; co mplexity of structure; hourglass benzenoid system 1. Introduction Benzenoid hydrocarbons have consistently attracted the attention of both chemists and pure mathematicians because of the complexities of the underlying molecular graphs, combinatorically and topologically. NettetDownload scientific diagram (a) Triangular benzenoid T 5 , (b) subdivision graph T 5 , (c) line graph of the subdivision graph of a triangular benzenoid T 5 . from publication: On Gourava ... on trak lake company

On Gourava Indices of Some Chemical Graphs

Irregularity Molecular Descriptors of Hourglass, Jagged-Rectangle, …

NettetDownload scientific diagram Graph of triangular Benzenoid G[n]. from publication: Zagreb Connection Index of Drugs Related Chemical Structures Topological indices … NettetThe triangular graph is the line graph of the complete graph (Brualdi and Ryser 1991, p. 152).. The vertices of may be identified with the 2-subsets of that are adjacent iff the 2 … iot aviationNettetSMILES (Simplified Molecular Input Line Entry System) is a chemical notation system designed for modern chemical information processing. Based on principles of molecular graph theory, SMILES allows rigorous structure specification by use of a very small and natural grammar. ontrak hilti

"Nettet20. mar. 2024 · Let a graph and its line graph be a graph such that each vertex of represents an edge of and two vertices of are connected if their respective edges share a common vertex. The terminologies and notations of the graphs which are used in this paper are standard. In this paper, we discussed topological indices based on degrees. " - Line graph of triangular benzenoid

Line graph of triangular benzenoid

Study the Behavior of Drug Structures via Chemical Invariants …

NettetDownload scientific diagram Line graph of triangular benzenoid L(T(n)). from publication: Forgotten Topological Index of Line Graphs of Some Chemical Structures … NettetLine Graph of Subdivision of Convex Polytope Tn The line graph of subdivision of Tn consists of 10n vertices out which 6n vertices are of degree 3 and 4n vertices are of degree 4. Using Lemma 1.2, we have E(L(S(Tn ))) = 17n. The L(S(Tn )) for n = 8is shown in Figure 3. Figure 3: Line graph of subdivision of T8 2.2.

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NettetDownload scientific diagram Molecular graph of triangular benzenoid . from publication: Forgotten Topological Index of Chemical Structure in Drugs [241] A massive of early … Nettet6. okt. 2024 · In this article, we discussed the concept of subdivision of chemical graphs and their corresponding line chemical graphs. More preciously, we discuss the …

NettetBenzenoid Systems are utilized basically as an intermediate to make different synthetic compounds. In this report we aim to compute redefined Zagreb indices for Zigzag, Rhombic, triangular, Hourglass and Jagged-rectangle Benzenoid systems. Keywords: Topological index; Zagreb index; Benzenoid system Texto completo disponible sólo en … NettetFig. 1. Graph of triangular benzenoid G[2]. Example 2. Consider graph G[3] depicted in Fig. 2. This graph has 22 vertices and 27 edges. By computing eccentricity polynomial of G[3] it is easy to check that ς( ) 3 9 18 24x =+ + +xx x x45 6 7. Hence ξ() 333G =. Fig. 2. Graph of triangular benzenoid G[3]. Example 3. Consider graph G[4] depicted ...

Nettet21. nov. 1996 · We show that the molecular graph G of a benzenoid hydrocarbon admits an isometric embedding into the Cartesian product of three trees T1, T2, and T3 defined by three directions of the host hexagonal grid. Namely, to every vertex v of G one can associate an ordered triplet (v1, v2, v3) with vi being a vertex of Ti (i = 1, 2, 3), such … NettetTriangular benzenoid. Theorem 1 Let Tp be a triangular benzenoid systemwhere p shows the number of hexagons in the base graph and total number of hexagons in Tp is 1 2p(p + 1) .Then 1. Proof. Let Tp be a triangular benzenoid system as shown in Figure 1. Then we have, (V(Tp)) = p2 + 4p + 1. (E(Tp)) = 3 2p(p + 3).

NettetTheorem 3. Let denotes the Benzenoid Hourglass. Then, its M-polynomial is. Proof. Let denotes the benzenoid hourglass which is obtained from two copies of a triangular …

NettetBenzenoid graph shown in Fig. 4. This graph has n2+4n+1 vertices. Theorem 3.3.1. Let H n, where n≥1, be the molecular graph of the triangular Benzenoid system. Its modified first Zagreb connection number is *2 n1 18n − Figure 4. Graph of triangular Benzenoid G[n]. Proof. The molecular graph of the triangular Benzenoid system has n2+4n+1. ontrak excavation services incNettetℱ is the line graph of the subdivision graph of triangular benzenoid T x. We will use the edge partition and vertices counting technique to compute our abstracted indices and … ontrak logistics mc numberNettetNow, we compute the (a, b)-Zagreb index of line graph of subdivision graph ℒ (풮 (G [r])) of triangular benzenoid G [r]. The triangular benzenoid G [r] (∀ r ∈ ℕ, r denote the number of rows), consists of benzene rings, which form a triangular shape. The number of vertices in a triangular benzenoid G [r] is (r 2 + 4 r + 1) and number of ... ontrak insuranceNettetMLA Style: N.K.Raut "Topological Indices And Topological Polynomials of Triangular Benzenoid System" International Journal of Mathematics Trends and Technology 67.6 (2024):90-96. ... M.polynomial and degree based topological indices and line graph of hex board graph,Eurasian Chemical Communications,Vol.2,Issue 12(2024) 1156-1163. [3] ... iota wallet trinityNettetDownload scientific diagram Line graph of subdivision graph of triangular Benzenoid Gn for n=5. from publication: Inverse Sum Indeg Index of the Line Graphs of … on trak incNettetLet μ 1 ⩾ μ 2 ⩾ ⋯ ⩾ μ n denote the Laplacian eigenvalues of a graph G with n vertices. The Laplacian-energy-like invariant, denoted by LEL ( G ) = ∑ i = 1 n - iotawatt influxdb2NettetTheorem 2.3. Let Gbe the line graph of the subdivision graph of a triangular benzenoid T n, n 2N. Then ﬁrst Hyper Gourava index is HGO 1(G) = 1012:5n2 + 1255:5n 871:5: Proof. The graph of a triangular benzenoid T n has n2 +4n+1 vertices and 3 2 n(n+3) edges. By Lemma 1.2 and Lemma 1.1, the line graph of the subdivision graph Ghas … ontrak newcastle