Mathematical studies of Kekulé structures

被引:0
|
作者
Nenad Trinajstić
Damir Vukičević
机构
[1] The Rugjer Bošković Institute,Department of Mathematics
[2] University of Split,undefined
来源
Structural Chemistry | 2007年 / 18卷
关键词
Cata-benzenoids; Geometric and algebraic Kekulé structures; Hidden properties; Mathematical properties; Perfect matching vector; Forcing; Kekulé-vector;
D O I
暂无
中图分类号
学科分类号
摘要
The perfect matching vector and forcing and the Kekulé-vector of cata-benzenoids are defined. Two theorems are given which set the sufficient and necessary conditions for HKZ-vector (Harary et al. J Math Chem 6:295, 1991) and Kekulé-vector in cata-benzenoids. Additional two theorems are obtained which give sharp bounds for the modules of HKZ- and Kekulé vectors.
引用
收藏
页码:807 / 812
页数:5
相关论文
共 50 条
  • [1] On Kekulé structures count
    S. Cigher
    D. Vukičević
    M. V. Diudea
    [J]. Journal of Mathematical Chemistry, 2009, 45 : 279 - 286
  • [2] On Kekul, structures count
    Cigher, S.
    Vukicevic, D.
    Diudea, M. V.
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2009, 45 (02) : 279 - 286
  • [3] The number of Kekul, structures of polyominos on the torus
    Zhang, Lianzhu
    Wei, Shouliu
    Lu, Fuliang
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2013, 51 (01) : 354 - 368
  • [4] Valley transport in Kekulé structures of graphene
    王娟娟
    汪军
    [J]. Chinese Physics B, 2024, 33 (01) : 759 - 768
  • [5] Valley transport in Kekulé structures of graphene
    Wang, Juan-Juan
    Wang, Jun
    [J]. CHINESE PHYSICS B, 2024, 33 (01)
  • [6] The number of Kekulé structures of polyominos on the torus
    Lianzhu Zhang
    Shouliu Wei
    Fuliang Lu
    [J]. Journal of Mathematical Chemistry, 2013, 51 : 354 - 368
  • [7] On the number of Kekulé structures in capped zigzag nanotubes
    Jianguo Qian
    Fuji Zhang
    [J]. Journal of Mathematical Chemistry, 2005, 38 : 233 - 246
  • [8] Mathematical studies of Kekule structures
    Trinajstic, Nenad
    Vukicevic, Damir
    [J]. STRUCTURAL CHEMISTRY, 2007, 18 (06) : 807 - 812
  • [9] Unicyclic Graphs Possessing Kekulé Structures with Minimal Energy
    Wen-Huan Wang
    An Chang
    Dong-Qiang Lu
    [J]. Journal of Mathematical Chemistry, 2007, 42 : 311 - 320
  • [10] Kekul,an benzenoids
    Graver, Jack E.
    Hartung, Elizabeth J.
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2014, 52 (03) : 977 - 989