On the anti-forcing number of benzenoids

Author: yjrl

August undefined, 2024

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. 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 ...

Dedication Introduction

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. 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 chili\u0027s pay rate

On the Anti-forcing Number of Benzenoids Semantic 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 … 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. 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 … chili\\u0027s panama city beach

On the Anti-forcing Number of Benzenoids SpringerLink

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

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. 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. grace bramichWeb10 de jan. de 2007 · 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 ... chili\u0027s party platter menu

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

On the anti-forcing number of benzenoids

Anti-forcing numbers of perfect matchings of graphs

WebDownloadable (with restrictions)! Klein and Randić introduced the innate degree of freedom (forcing number) of a Kekulé structure (perfect matching) M of a graph G as the smallest cardinality of subsets of M that are contained in no other Kekulé structures of G, and the innate degree of freedom of the entire G as the sum over the forcing numbers of all … Web13 de jun. de 2006 · The 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 …

Did you know?

Web5 de jul. de 2016 · The anti-forcing number of a perfect matching M of a graph G is the minimal number of edges of G not in M whose deletion results in a subgraph with a unique perfect matching M.The maximum anti-forcing number of a benzenoid system H equals … Web18 de dez. de 2024 · The initial set S is called a forcing set (zero forcing set) of G if, by iteratively applying the forcing process, every vertex in G becomes colored. The zero forcing number of G, denoted Z(G), is the minimum cardinality of a zero forcing set of …

Web578 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 … Web3 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, …

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 … 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 ...

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. grace breathe lyricsWeb24 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 … chili\\u0027s panama city flWebThe 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 … chili\u0027s pay per hourWebThe 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 … chili\u0027s panama city beach flWebWe 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). chili\\u0027s party platterWebIt 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) cata-benzenoids is given. It is also shown that anti-forcing number of … grace brad wilcoxWebWe 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 ... chili\u0027s park and preston