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
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 1989年 / 3卷 / 04期
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
  • [1] ENUMERATION OF CATACONDENSED BENZENOID HYDROCARBONS AND THEIR NUMBERS OF KEKULE STRUCTURES
    BRUNVOLL, J
    TOSIC, R
    KOVACEVIC, M
    PALABAN, AT
    GUTMAN, I
    CYVIN, SJ
    REVUE ROUMAINE DE CHIMIE, 1990, 35 (01) : 85 - 96
  • [2] DISTRIBUTION OF K, THE NUMBER OF KEKULE STRUCTURES, IN BENZENOID HYDROCARBONS - ENUMERATION OF BRANCHED CATACONDENSED BENZENOID HYDROCARBONS AND THEIR NUMBERS OF KEKULE STRUCTURES
    BALABAN, AT
    BRUNVOLL, J
    CYVIN, BN
    CYVIN, SJ
    TETRAHEDRON, 1988, 44 (01) : 221 - 228
  • [3] ENUMERATION OF KEKULE STRUCTURES FOR MULTIPLE ZIGZAG CHAINS AND RELATED BENZENOID HYDROCARBONS
    CYVIN, SJ
    CYVIN, BN
    BRUNVOLL, J
    GUTMAN, I
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1987, 42 (07): : 722 - 730
  • [4] Algebraic Kekule structures of benzenoid hydrocarbons
    Gutman, I
    Vukicevic, D
    Graovac, A
    Randic, M
    JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 2004, 44 (02): : 296 - 299
  • [5] ENUMERATION AND CLASSIFICATION OF BENZENOID HYDROCARBONS .3. BENZENOID HYDROCARBONS WITH TRIGONAL SYMMETRY - ENUMERATION AND KEKULE STRUCTURE COUNTS
    CYVIN, SJ
    BRUNVOLL, J
    CYVIN, BN
    JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 1988, 49 : 329 - 341
  • [6] APPLICATION OF REDUCED GRAPH MODEL TO THE ENUMERATION OF KEKULE STRUCTURES AND CONJUGATED CIRCUITS OF BENZENOID HYDROCARBONS
    DZONOVAJERMANBLAZIC, B
    TRINAJSTIC, N
    CROATICA CHEMICA ACTA, 1982, 55 (04) : 347 - 369
  • [7] KEKULE STRUCTURES AND RESONANCE ENERGIES OF BENZENOID HYDROCARBONS
    SWINBORNESHELDRAKE, R
    HERNDON, WC
    TETRAHEDRON LETTERS, 1975, (10) : 755 - 758
  • [8] ENUMERATION OF KEKULE STRUCTURES - ETAGERES AND RELATED BENZENOID CLASSES
    CYVIN, SJ
    CYVIN, BN
    MONATSHEFTE FUR CHEMIE, 1987, 118 (03): : 337 - 347
  • [9] APPLICATIONS OF THE REDUCED GRAPH MODEL - ENUMERATION OF KEKULE STRUCTURES FOR CERTAIN CLASSES OF LARGE BENZENOID HYDROCARBONS
    KRIVKA, P
    NIKOLIC, S
    TRINAJSTIC, N
    CROATICA CHEMICA ACTA, 1986, 59 (03) : 659 - 668
  • [10] Binary coding of Kekule structures of catacondensed benzenoid hydrocarbons
    Klavzar, S
    Vesel, A
    Zigert, P
    Gutman, I
    COMPUTERS & CHEMISTRY, 2001, 25 (06): : 569 - 575
12345