Algebraic connections between topological indices

被引:36
|
作者
Chan, O
Gutman, I
Lam, TK [1 ]
Merris, R
机构
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
[2] Univ Kragujevac, Fac Sci, YU-34000 Kragujevac, Yugoslavia
[3] Calif State Univ Hayward, Dept Math & Comp Sci, Hayward, CA 94542 USA
关键词
D O I
10.1021/ci970059y
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
A relation has been recently established between the Wiener number W and an immanant of the Laplacian matrix of the molecular graph [Chan, O.; Lam, T. K.; Merris, R. J. Chem. Inf: Comput. Sci. 1997, 37, 762-765]. On the basis of this result we now show that there exist algebraic connections between W and certain molecular-graph-based structure descriptors which, until now, were believed not to be related to W, namely the Hosoya index and quantities derived from it and the simple topological index of Narumi.
引用
收藏
页码:62 / 65
页数:4
相关论文
共 50 条
  • [2] An Algebraic Approach of Topological Indices Connected with Finite Quasigroups
    Nadeem, Muhammad
    Alam, Md. Ashraful
    Ali, Nwazish
    Elashiry, M. I.
    [J]. JOURNAL OF FUNCTION SPACES, 2024, 2024
  • [3] Computing degree based topological indices of algebraic hypergraphs
    Alali, Amal S.
    Sozen, Esra Ozturk
    Abdioglu, Cihat
    Ali, Shakir
    Eryasar, Elif
    [J]. HELIYON, 2024, 10 (15)
  • [4] ALGEBRAIC AND TOPOLOGICAL INDICES OF MOLECULAR PATHWAY NETWORKS IN HUMAN CANCERS
    Hinow, Peter
    Rietman, Edward A.
    Omar, Sara Ibrahim
    Tuszynski, Jack A.
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2015, 12 (06) : 1289 - 1302
  • [5] The connection between topological and algebraic entropy
    Dikranjan, Dikran
    Giordano Bruno, Anna
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (13) : 2980 - 2989
  • [6] On reducing correlations between topological indices
    Hollas, B
    Gutman, I
    Trinajstic, N
    [J]. CROATICA CHEMICA ACTA, 2005, 78 (04) : 489 - 492
  • [7] Relations between three topological indices
    Yamaguchi, Seiichi
    [J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2009, 61 (03) : 615 - 621
  • [8] ON CERTAIN CONNECTIONS BETWEEN ALGEBRAIC GEOMETRY AND STATISTICS
    LINNIK, YV
    [J]. AUSTRALIAN JOURNAL OF STATISTICS, 1967, 9 (03): : 89 - &
  • [9] Connections between algebraic thinking and reasoning processes
    Chimoni, Maria
    Pitta-Pantazi, Demetra
    [J]. PROCEEDINGS OF THE NINTH CONFERENCE OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION (CERME9), 2015, : 398 - 404
  • [10] SOME CONNECTIONS BETWEEN TOPOLOGICAL AND MODAL LOGIC
    ENGESSER, K
    [J]. MATHEMATICAL LOGIC QUARTERLY, 1995, 41 (01) : 49 - 64