Vertex-weightings for distance moments and thorny graphs

نویسندگان

  • Douglas J. Klein
  • Tomislav Doslic
  • Danail Bonchev
چکیده

Valence-weightings are considered for shortest-path distance moments, as well as related weightings for the so-called “Wiener” polynomial. In the case of trees the valence-weighted quantities are found to be expressible as a combination of unweighted quantities. Further the weighted quantities for a so-called “thorny” graph are considered and shown to be related to the weighted and unweighted quantities for the underlying parent graph. © 2007 Elsevier B.V. All rights reserved. MSC: primary 05C12;05C05; secondary 05C90

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 155  شماره 

صفحات  -

تاریخ انتشار 2007