Connected permutation graphs

نویسندگان

  • Youngmee Koh
  • Sangwook Ree
چکیده

A permutation graph is a simple graph associated with a permutation. Let cn be the number of connected permutation graphs on n vertices. Then the sequence {cn} satisfies an interesting recurrence relation such that it provides partitions of n! as n! =nk=1 ck · (n− k)!. We also see that, if uniformly chosen at random, asymptotically almost all permutation graphs are connected. © 2007 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 307  شماره 

صفحات  -

تاریخ انتشار 2007