A note on uniquely pancyclic graphs

نویسنده

  • Klas Markström
چکیده

In this paper we consider uniquely pancyclic graphs, i.e. n vertex graphs with exactly one cycle of each length from 3 to n. The first result of the paper gives new upper and lower bounds on the number of edges in a uniquely pancyclic graph. Next we report on a computer search for new uniquely pancyclic graphs. We found that there are no new such graphs on n ≤ 59 vertices and that there are no uniquely pancyclic graphs with exactly 5 chords.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 44  شماره 

صفحات  -

تاریخ انتشار 2009