Differences between detour and Wiener indices

نویسندگان

  • Modjtaba Ghorbani
  • Nasrin Azimi
چکیده

Let G be a connected graph and let μ(G) = DD(G) − W (G), where DD(G) and W (G) stand for the detour and Wiener numbers of G, respectively. Nadjafi-Arani et al. [Math. Comput. Model. 55 (2012), 1644– 1648] classified connected graphs whose difference between Szeged and Wiener numbers are n, for n = 4, 5. In this paper, we continue their work to prove that for any positive integer n = 1, 2, 4, 6 there is a graph with μ(G) = n.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 59  شماره 

صفحات  -

تاریخ انتشار 2014