On the anti-forcing number of benzenoids

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August undefined, 2024

Web1 de fev. de 2008 · The notions of a forcing edge and the forcing number of a perfect matching first appeared in a 1991 paper [15] by Harary, Klein an Zivkovi. The root of these concepts can be traced to the works ... Web40) D. Vukičević and N. Trinajstić, On the anti-Kekule number and anti-forcing number of cata-condensed benzenoids, J. Math. Chem, 43 (2) (2008) 719-726. 41) Alexandru T. Balaban, Milan Randić, and Damir Vukičević, Partition of π-Electrons between Faces of Polyhedral Carbon Aggregates, J. Math. Chem. 43 (2) (2008) 773-779.

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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 … Web5 de jul. de 2016 · The forcing concept in Kekulé structures plays an important role in the resonance theory of theoretic chemistry [14], [15]. In particular, for all benzenoid systems, recently Xu et al. [22] showed that the maximum forcing number is equal to the Clar … how does a digital valve controller work

On the anti-Kekulé number and anti-forcing number of cata …

Web1 de mar. de 2016 · We 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 ... br000135 D. Vukičević, N. Trinajstić, On the anti-Kekulé number and anti-forcing … 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 ... 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 ... phool fleather

On the anti-Kekule number and anti-forcing number´ of cata …

Forcing polynomials of benzenoid parallelogram and its related benzenoids

Web15 de jul. de 2024 · The minimum (resp. maximum) anti-forcing number of G is the minimum (resp. maximum) value over anti-forcing numbers of all perfect matchings of G denoted by a f ( G) (resp. A f ( G) ). Lei et al. [16] proved that the maximum anti-forcing numbers of benzenoids are equal to their Fries numbers. WebNational Center for Biotechnology Information phool gift hamperWebIn 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; phool dish

"Web5 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. " - On the anti-forcing number of benzenoids

On the anti-forcing number of benzenoids

Anti-forcing numbers of perfect matchings of graphs

WebPreviously 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 3 and both classes … 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 …

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Web24 de abr. de 2024 · On the anti-Kekulé and anti-forcing number of cata-condensed benzenoids. J. Math. Chem., 43: 719–726 (2008) Article MathSciNet Google Scholar Wang, H., Ye, D., Zhang, H. The forcing number of toroidal polyhexes. J. Math. Chem., 43: 457–475 (2008) Article MathSciNet Google Scholar Yang, Q., Ye, D., Zhang, H., Lin, Y. 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

Web8 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 ... 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.

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 … WebWe 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 matching (Xu etal., 2013; Lei etal., 2016).

WebFor individual Kekule valence structures we consider the smallest possible number of placements of CC double bonds such that a Kekule structure is fully determined. The number may be viewed as special weighting scheme for individual Kekule valence structures. Alternatively its reciprocal indicates the degree of a long-range order in a …

phool gift boxWeb3 de nov. de 2016 · The anti-forcing number of a perfect matching M of a graph G is the minimal number of edges not in M whose removal makes M a unique perfect matching of the resulting graph. ... On the anti-forcing number of benzenoids. J Math Chem, 2007, … how does a digital torque adapter workWebWe 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 … phool fundingWebG−S has a unique perfect matching. The cardinality of a smallest anti-forcing set is called the anti-forcing number of G, denoted by af(G). D. Vukiˇcevi´c and N. Trinajsti´c [12, 13] recently introduced the anti-forcing number of graphs and determined the anti-forcing numbers of parallelogram benzenoid and cata-condensed benzenoids. how does a digital thermostat workWebThe anti-forcing number is introduced as the smallest number of edges that have to be removed that any benzenoid remains with a single Kekulé structure. Similarly, the anti- Kekulé number is discussed as the smallest number of edges that have to be removed … how does a digital voice adapter workWebThe maximum anti-forcing number of a benzenoid system H equals the Fries number of H . Hwang et al. defined the anti-forcing polynomial of a graph as a counting polynomial for perfect matchings with the same anti-forcing number, and obtained explicit expressions of the anti-forcing polynomial of hexagonal chains and crowns. phool film trailerWebPreviously 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 … how does a direct democracy differ from a