The irregularity strength of circulant graphs

نویسندگان

  • Jean-Luc Baril
  • Hamamache Kheddouci
  • Olivier Togni
چکیده

The irregularity strength of a simple graph is the smallest integer k for which there exists a weighting of the edges with positive integers at most k such that all the weighted degrees of the vertices are distinct. In this paper we study the irregularity strength of circulant graphs of degree 4. We find the exact value of the strength for a large family of circulant graphs. © 2005 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 304  شماره 

صفحات  -

تاریخ انتشار 2005