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两种四角系统的Wiener数和Hyper-Wiener数(英文)论文

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AbstractIn this paper we deduce the formula of Wiener number and Hyper-Wiener number of two types of polyomino systems.
  Key wordsWiener number; Hyper-Wiener number; Polyomino systems
  CLC numberO 157.6Document codeA
  1Introduction
  The topological index W, conceived by Wiener[1]more than half a century ago, is one of the most thoroughly studied in chemical graph. Let G be a graph, Wiener number W(G) is defined as follows: Let u and v be two vertices of G, the distance between u and v is equal to the length of a shortest path that connects u and v in the graph G, which is denoted by d(u,v). The Wiener number is equal to the sum of the distances between all pairs of vertices of G,
  In this section, we Calculate the Wiener number and Hyper-Wiener number of two types of polyomino systems.
  (1)Thefirst type of polyomino system is shown in Figure 1. It is a polyomino chain.
  [1] Wiener H. Structural determination of paraffin boiling points. J Am Chem Soc, 1947, 69: 17-20.
  [2] Shiu W C, Lam P C B. Wiener numbers of some pericondensed benzenoid molecule systems. Congrseeus Numerantium, 1997, 126: 113-124.
  [3] Gutman I, Yeh Y N, Lee S L, Luo Y L. Some recent results in the theory of the Wiener number. Indian Journal of Chemistry, 1993, 32A: 651-661.
  [4] Gutman I, Potgieter J H. Wiener index and intermolecular forces. J Serb Chem Soc, 1997, 62(3): 185-192.
  [5] Gutman I, Klavzar S. A method for calculating Wiener numbers of benzenoid hydrocarbons. Models in Chemistry, 1996, 133(4):

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than half a century ago, is one of the most thoroughly studied in chemical graph. Let G be a graph, Wiener number W(G) is defined as follows: Let u and v be two vertices of G, the distance between u and v is equal to the length of a shortest path that connects u and v in the graph G, which is denoteWWw.YingyuLunwen.com 英语论文网整理提供

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