ENUMERATION OF KEKULE STRUCTURES IN BENZENOID HYDROCARBONS: "FLOUNDERS"

被引:3
|
作者
Tosic, R. [1 ]
Cyvin, S. J. [2 ]
机构
[1] Univ Novi Sad, Fac Sci, Inst Math, Novi Sad 21000, Yugoslavia, Yugoslavia
[2] Univ Trondheim, Div Phys Chem, N-7034 Trondheim, Norway
关键词
D O I
10.1007/BF01169020
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Combinatorial formulas for Kekule structure counts (K) of a class of benzenoids referred to as "flounders" are derived. They represent a generalization of the previously studied "pentagon-shaped" benzenoids. A special case of the K formula reproduces the well-known Catalan numbers.
引用
收藏
页码:393 / 401
页数:9
相关论文
共 50 条
  • [21] SOME CLASSES OF ALL-BENZENOID AND ALL-CORONOID HYDROCARBONS, AND THEIR KEKULE STRUCTURES
    CYVIN, SJ
    CYVIN, BN
    BRUNVOLL, J
    ACTA CHIMICA HUNGARICA-MODELS IN CHEMISTRY, 1993, 130 (01): : 67 - 82
  • [22] ENUMERATION OF KEKULE STRUCTURES IN POLYMERS
    GRAOVAC, A
    BABIC, D
    STRUNJE, M
    CHEMICAL PHYSICS LETTERS, 1986, 123 (05) : 433 - 436
  • [23] ENUMERATION OF KEKULE STRUCTURES - CHEVRONS
    CYVIN, SJ
    JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 1985, 26 : 211 - 219
  • [24] DISTRIBUTION OF K, THE NUMBER OF KEKULE STRUCTURES, IN BENZENOID HYDROCARBONS - NORMAL BENZENOIDS WITH K TO 110
    CYVIN, SJ
    BRUNVOLL, J
    CYVIN, BN
    JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1989, 29 (02): : 79 - 90
  • [25] ON THE ENUMERATION AND CLASSIFICATION OF BENZENOID AND CORONOID HYDROCARBONS
    BRUNVOLL, J
    CYVIN, SJ
    CYVIN, BN
    JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 1991, 81 (1-2): : 147 - 155
  • [26] SUPPLEMENTS TO ENUMERATION OF BENZENOID AND CORONOID HYDROCARBONS
    HE, WJ
    HE, WC
    WANG, QX
    BRUNVOLL, J
    CYVIN, SJ
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1988, 43 (07): : 693 - 694
  • [27] A parallel algorithm for the enumeration of benzenoid hydrocarbons
    Jensen, Iwan
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,
  • [28] On algebraic and geometric Kekule structures in benzenoid rotagraphs
    Graovac, Ante
    Vukicevic, Damir
    Zerovnik, Janez
    CROATICA CHEMICA ACTA, 2006, 79 (03) : 373 - 377
  • [29] THE NUMBER OF KEKULE STRUCTURES IN LONG BENZENOID CHAINS
    GUTMAN, I
    CYVIN, SJ
    CHEMICAL PHYSICS LETTERS, 1988, 147 (01) : 121 - 125
  • [30] BENZENOID CHAINS WITH MAXIMUM NUMBER OF KEKULE STRUCTURES
    BRUNVOLL, J
    GUTMAN, I
    CYVIN, SJ
    ZEITSCHRIFT FUR PHYSIKALISCHE CHEMIE-LEIPZIG, 1989, 270 (05): : 982 - 988