On Wiener numbers of polygonal nets

  • Authors:
  • Wai Chee Shiu;Peter Che Bor Lam;Kin Keung Poon

  • Affiliations:
  • Department of Mathematics, Hong Kong Baptist University, 224 Waterloo Road, Kowloon Tong, Hong Kong;Department of Mathematics, Hong Kong Baptist University, 224 Waterloo Road, Kowloon Tong, Hong Kong;Department of Mathematics, Hong Kong Baptist University, 224 Waterloo Road, Kowloon Tong, Hong Kong and Department of Mathematics, Hong Kong Institute of Education, Tai Po, NT, Hong Kong

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2002

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Abstract

The Wiener number of a connected graph is equal to the sum of distances between all pairs of its vertices. In this paper, we shall generalize the elementary cuts method to homogeneous n-gonal nets and give a formula to calculate the Wiener numbers of irregular convex triangular hexagons.