Graphs of arbitrary excessive class

نویسندگان

  • Giuseppe Mazzuoccolo
  • M. Young
چکیده

We show that there exists a family of r-regular graphs of arbitrarily large excessive index for each integer r greater than 3. Furthermore, we answer a question in Bonisoli and Cariolaro (2007) [1] showing that all the positive integers can be attained as excessive classes of regular graphs. © 2010 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 311  شماره 

صفحات  -

تاریخ انتشار 2011