Well primitive digraphs

نویسنده

  • Jolanta Rosiak
چکیده

A primitive digraph D is said to be well primitive if the local exponents of D are all equal. In this paper we consider well primitive digraphs of two special types: digraphs that contain loops, and symmetric digraphs with shortest odd cycle of length r. We show that the upper bound of the exponent of the well primitive digraph is n− 1 in both these classes of digraphs, and we characterize the extremal digraphs.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 71  شماره 

صفحات  -

تاریخ انتشار 2018