Line graph of triangular benzenoid

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Nettet1. okt. 2010 · More preciously, we discuss the properties of chemical graph entropies and then constructed the chemical structures namely triangular benzenoid, hexagonal … 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 ...

Redefined Zagreb indices of Rhombic, triangular, Hourglass and …

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 … Nettetℱ 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 … giants wide receivers all time

M-Polynomials and Degree-Based Topological Indices of …

NettetLet 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 - 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. NettetSMILES (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. frozen mpaa rating

Redefined Zagreb indices of Rhombic, triangular, Hourglass and Jagged ...

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 … frozen mudslide recipe with baileysNettetTheorem 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 … giants wide receivers depth chart

"NettetTriangular benzenoid system is shown in Figure 1. ... In graph theory, the molecular graph is obtained by taking atoms as vertices and bounds as edges. " - Line graph of triangular benzenoid

Line graph of triangular benzenoid

Line graph of subdivision graph of triangular Benzenoid Gn for …

NettetDownload scientific diagram Benzenoid triangular system T p for p ¼ 4, 5 and 6. from publication: ... We use the subdivision and line graph of the H3BO3 layer structure, ... 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 ...

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NettetZigzag benzenoid system is denoted by Z p , where n is the number of rows in graph of Z p and each row consists of two hexagons as shown in Figure 2. Zigzag benzenoid system has the following ... 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).

Nettetprocesses Article Irregularity Molecular Descriptors of Hourglass, Jagged-Rectangle, and Triangular Benzenoid Systems Zafar Hussain 1, Shazia Raﬁque 2, Mobeen Munir 3,* … NettetProof. In order to prove the above theorem, we have to consider Figure 3.Here, í µí°» indicates the hourglass benzenoid system which is acquired from the two duplicates of …

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 … Nettet30. jan. 2024 · Molecular graph of triangular benzenoid . We derive the circumcoronene series of benzenoid after generalizing benzene molecules [ 28 ]. Benzene is significant in chemistry because it aids in the production of aromatic compounds. The benzenoid series circumcoronene consists of several copies of benzene on the perimeter (Figures 8 and 9 ).

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 …

NettetDownload scientific diagram Graph of triangular Benzenoid G[n]. from publication: Zagreb Connection Index of Drugs Related Chemical Structures Topological indices … giants willie mays jerseyNettet20. 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. frozen mudslide recipe baileysNettetDownload scientific diagram Molecular graph of triangular benzenoid . from publication: Forgotten Topological Index of Chemical Structure in Drugs [241] A massive of early … giants win and inNettetDownload scientific diagram Line graph of triangular benzenoid L(T(n)). from publication: Forgotten Topological Index of Line Graphs of Some Chemical Structures … giants wife jack and the beanstalkNettetNow, 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 ... frozen mudslide recipe ingredientsNettetTriangular benzenoid system. ... This research work defines the Neighborhood M-polynomial of line graph of subdivision of some convex polytopes to obtain … giant swing falls in mohaliNettetDownload scientific diagram Molecular graph of triangular benzenoid. from publication: Novel Face Index for Benzenoid Hydrocarbons A novel topological index, the face … frozen mrs fields cookie dough