On the anti-forcing number of benzenoids

Author: tdgx

August undefined, 2024

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; 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.

Dedication Introduction

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 ... 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 … duties of chef in indian kitchen

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

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. WebPreviously 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 … 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 … duties of chief minister

On the anti-forcing number of benzenoids - CROSBI

WebNational Center for Biotechnology Information 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 in a tiny house songWebe 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 any cata-benzenoid goes up to h/ 2w hereh is the number of … duties of chief justice of supreme court

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

On the anti-forcing number of benzenoids

Anti-forcing Number of Some Specific Graphs

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). 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 ...

Did you know?

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 … 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.

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 ... 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 …

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 …

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].

WebThe 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 … in a titan spotWebLet 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 ... duties of children towards parentsWeb40) 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. in a title do you capitalize the word ofWebWe 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 ... in a tipWebThe 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 … duties of church elders pdfWeb5 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 … in a titherWebThe 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 … in a title do you capitalize hyphenated words