On the diameter and girth of zero-divisor graphs of posets

نویسندگان

  • M. Alizadeh
  • A. K. Das
  • Hamid Reza Maimani
  • M. R. Pournaki
  • S. Yassemi
چکیده

In this paper, we deal with zero-divisor graphs of posets. We prove that the diameter of such a graph is either 1, 2 or 3 while its girth is either 3, 4 or ∞. We also characterize zero-divisor graphs of posets in terms of their diameter and girth. © 2012 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 160  شماره 

صفحات  -

تاریخ انتشار 2012