On the anti-forcing number of benzenoids

Web13 de jun. de 2006 · On the Anti-forcing Number of Benzenoids On the Anti-forcing Number of Benzenoids Vukiěević, Damir; Trinajstić, Nenad 2006-06-13 00:00:00 The anti-forcing number is introduced as the smallest number of edges that have to be removed … WebThe anti-forcing number of G is the smallest number of edges whose removal from G results in a subgraph with a unique perfect matching, denoted by of (G). In this paper, we obtain that for a (3, 6)-fullerene graph G, f (G) >= 1 and af(G) >= 2, and any equality holds if and only if it either has connectivity 2 or is isomorphic to K-4.

(PDF) On the anti-Kekulé number and anti-forcing number of …

Webparticular, we prove that all catacondensed benzenoids and catafused coronoids with n hexagons have the global forcing number equal to n, and that for pericondensed benze- noids the global forcing number is always strictly smaller than the number of hexagons. KEY WORDS: global forcing number, benzenoid graph Webstructures.9 Zhang, Ye, and Shiu have found lower bounds for the forcing matching number of fullerenes.10 Vuki cevi c and Trinajsti c have investigated the anti-forcing number of benzenoids, the smallest number of edges that must be removed from a benzenoid so that a single Kekul e structure remains.11 2.2. Independence in Chemistry. i only hear what i want to https://gravitasoil.com

(PDF) On the anti-Kekulé number and anti-forcing number of cata ...

WebOn the Anti-Kekulé Number and Anti-Forcing Number of Cata-Condensed Benzenoids. J. Math. Chem. 43, 719–726 (2008) CrossRef MathSciNet MATH Google Scholar Vukičević, D., Trinajstić, N.: On the Anti-Forcing Number of Benzenoids. J. Math. Chem. 42, 575–583 (2007) CrossRef MathSciNet MATH Google Scholar WebJournal of Mathematical Chemistry, Vol. 43, No. 2, February 2008 (© 2007) DOI: 10.1007/s10910-006-9223-5 On the anti-Kekul´e number and anti-forcing number of cata-condensed benzenoids Damir Vukiˇcevi´c∗ and Nenad Trinajsti´c Department of … Web1 de mar. de 2016 · br000135 D. Vukičević, N. Trinajstić, On the anti-Kekulé number and anti-forcing number of cata-condensed benzenoids, J. Math. Chem., 43 (2008) 719-726. br000140 L. Xu, H. Bian, F. Zhang, Maximum forcing number of hexagonal systems, MATCH Commun. Math. Comput. Chem., 70 (2013) 493-500. on the bleak midwinter

Forcing and Anti-Forcing Numbers of (3,6)-Fullerenes

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On the anti-forcing number of benzenoids

A Sufficient and Necessary Condition for the Forcing Number of a ...

Web470 . C. Larson and N. Van Cleemput, Forcing Independence Croat. Chem. Acta. 86 (2013) 469. that molecular resonance energy of a sample of ben-zenoids correlates strongly with the WebWe consider resonance in cata-condensed benzenoids having six and seven fused benzene rings. The resonance relationship between the Kekule valence structures of the molecules is represented by the resonance graphs in which the vertices represent the Kekule valence structures, and the edges, the presence of the quantum chemical …

On the anti-forcing number of benzenoids

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WebLet G be a plane elementary bipartite graph with more than one finite face. We first characterize forcing edges and anti-forcing edges of G in terms of handles and forcing faces. We then introduce the concept of a nice pair of faces of G, which allows ... Web24 de mar. de 2006 · Global Forcing Number of Benzenoid Graphs Global Forcing Number of Benzenoid Graphs Došlić, Tomislav 2006-03-24 00:00:00 Journal of Mathematical Chemistry, Vol. 41, No. 3, April 2007 (© 2006) DOI: 10.1007/s10910-006-9056-2 Tomislav Dosli ˇ c´ Department of Informatics and Mathematics, Faculty of …

WebWe define the anti-forcing number of a perfect matching M of a graph G as the minimal number of edges of G whose deletion results in a subgraph with a unique perfect matching M , denoted by a f ( G , M ) . The anti-forcing number of a graph proposed by ... WebIn this paper we consider some specific graphs that are of importance in chemistry and study their anti-forcing numbers. Toggle navigation. Home; Browse . Current Issue; By Issue; By Author; By Subject; Author Index; Keyword Index; Journal Info . About Journal; Aims and Scope; Editorial Board;

WebPreviously introduced concepts the anti-Kekule number and anti-forcing number (Vukicevic et al., J. Math. chem., in press) are applied to cata-condensed benzenoids. It is shown that all cata-benzenoids have anti-Kekule number either 2 or 3 and both classes … WebLet G be a (4,6)-fullerene graph. We show that the maximum forcing number of G is equal to its Clar number, and the maximum anti-forcing number of G is equal to its Fries number, which extend the known results for hexagonal systems with a perfect ...

WebPDF Previously introduced concepts the anti-Kekule number and anti-forcing number (Vukicevic et al., J. Math. chem., in press) are applied to cata-condensed benzenoids. It is shown that all cata-benzenoids have anti-Kekule number either 2 or 3 and both classes are characterized. The explicit formula for anti-forcing number of chain (unbranched) …

WebAnti-Kekulé numbers of some chemical graphs were studied, such as a hexagonal system [ 3], the infinite triangular, rectangular and hexagonal grids [ 16], cata-condensed benzenoids [ 18], fullerene graphs [ 20] and cata-condensed phenylenes [ 22]. i only kneel for one man hoodieWeb9 de mar. de 2007 · Previously introduced concepts the anti-Kekulé number and anti-forcing number (Vukicevic et al., J. Math. chem., in press) are applied to cata-condensed benzenoids. It is shown that all cata-benzenoids have anti-Kekulé number either 2 or … on the blindWeb5 de jul. de 2016 · In particular, for all benzenoid systems, recently Xu et al. [22] showed that the maximum forcing number is equal to the Clar number, and Lei et al. [13] showed that the maximum anti-forcing number is equal to the Fries number. Both indices can measure the stability of benzenoid hydrocarbons. We may refer to a survey [2] on this topic. i only kneel for one man shirtWebPreviously introduced concepts the anti-Kekule number and anti-forcing number´ (Vukicevic et al., J. Math. chem., in press) are applied to cata-condensed benze-noids. It is shown that all cata-benzenoids have anti-Kekul´e number either 2 or 3 and both … on the blink of 意味WebThe anti-forcing number is introduced as the smallest number of edges that have to be removed that any benzenoid remains with a single Kekul´e structure. Similarly, the anti- Kekul´e number is discussed as the smallest number of edges that have to be removed that any benzenoid remains connected but without any Kekul´e structure. These … i only hit dingersWeb578 D.Vuki ˇeevi ´c and N.Trinajsti ´c/Anti-forcing number of benzenoids Denote by K 0 the Kekule structure that is obtained from´ K0 by rotating three double bonds in the hexagon denoted by circle. Note that K0 and K 0 are two Kekul´e structures on Bm,n–e for each e … on the blink originWeb8 de dez. de 2024 · A potent synthetic opioid class called nitazenes has been discovered after people overdosed on them. . Medical experts say this opioid may be up to 20 times more powerful than fentanyl. Despite ... on the blink of an eye