On Wiener-type polynomials of thorn graphs

被引：1
|
作者：
Zhou, Bo [2 ]
Vukicevic, Damir [1 ]
机构：
[1] Univ Split, Dept Math, HR-21000 Split, Croatia
[2] S China Normal Univ, Dept Math, Guangzhou 510631, Guangdong, Peoples R China
来源：
JOURNAL OF CHEMOMETRICS | 2009年 / 23卷 / 11-12期
基金：
中国国家自然科学基金;
关键词：
Wiener polynomials; vertex-weighted Wiener polynomials; doubly vertex-weighted Wiener polynomials; variable vertex-weighted Wiener polynomials; thorn graphs; INDEXES;
D O I：
10.1002/cem.1258
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We derive the expressions of the ordinary, the vertex-weighted and the doubly vertex-weighted Wiener polynomials of a type of thorn graph, for which the number of pendant edges attached to any vertex of the underlying parent graph is a linear function of its degree. We also define variable vertex-weighted Wiener polynomials and calculate them for the same type of thorn graphs. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码：600 / 604
页数：5
相关论文
共 50 条
  • [21] Partitioning of Wiener-type indices, especially for trees
    Klein, DJ
    [J]. INDIAN JOURNAL OF CHEMISTRY SECTION A-INORGANIC BIO-INORGANIC PHYSICAL THEORETICAL & ANALYTICAL CHEMISTRY, 2003, 42 (06): : 1264 - 1269
  • [22] Wiener-type Tauberian theorems for Fourier hyperfunctions
    Pilipovic, S
    Stankovic, B
    [J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2002, 21 (04): : 1027 - 1042
  • [23] CLUSTERS AND VARIOUS VERSIONS OF WIENER-TYPE INVARIANTS
    Azari, Mahdieh
    Iranmanesh, Ali
    [J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2015, 39 (02): : 155 - 171
  • [24] WIENER-TYPE INVARIANTS OF SOME GRAPH OPERATIONS
    Hossein-Zadeh, S.
    Hamzeh, A.
    Ashrafi, A. R.
    [J]. FILOMAT, 2009, 23 (03) : 103 - 113
  • [25] A Wiener-type neuronal model in the presence of exponential refractoriness
    Albano, Giuseppina
    Giorno, Virginia
    Nobile, Amelia G.
    Ricciardi, Luigi M.
    [J]. BIOSYSTEMS, 2007, 88 (03) : 202 - 215
  • [26] Identification of Wiener-type nonlinear systems in a noisy environment
    Kalafatis, AD
    Wang, L
    Cluett, WR
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1997, 66 (06) : 923 - 941
  • [27] Some results on vulnerability parameters and Wiener-type indices
    Hua, Hongbo
    Liu, Hechao
    [J]. DISCRETE APPLIED MATHEMATICS, 2024, 358 : 262 - 271
  • [28] The Restricted Detour Polynomials of Some Classes of Thorn Graphs
    Mohammed-Saleh, Gashaw A.
    Abdullah, Herish O.
    Ahmed, Mohammed R.
    [J]. 6TH INTERNATIONAL CONFERENCE AND WORKSHOPS ON BASIC AND APPLIES SCIENCES, 2017, 1888
  • [29] Greedy Trees, Caterpillars, and Wiener-type Graph Invariants
    Schmuck, Nina S.
    Wagner, Stephan G.
    Wang, Hua
    [J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2012, 68 (01) : 273 - 292
  • [30] A theorem on Wiener-type invariants for isometric subgraphs of hypercubes
    Klavzar, Sandi
    Gutman, Ivan
    [J]. APPLIED MATHEMATICS LETTERS, 2006, 19 (10) : 1129 - 1133
12345