On the average Wiener index of degree-restricted trees

نویسنده

  • Stephan G. Wagner
چکیده

The Wiener index, defined as the total sum of distances in a graph, is one of the most popular graph-theoretical indices. Its average value has been determined for several classes of trees, giving an asymptotics of the form Kn5/2 for some K. In this note, it is shown how the method can be extended to trees with restricted degrees. Particular emphasis is placed on chemical trees – trees with maximal degree ≤ 4 – since the Wiener index is of interest in theoretical chemistry.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 37  شماره 

صفحات  -

تاریخ انتشار 2007