On the asymmetry of random regular graphs and random graphs

نویسندگان

  • Jeong Han Kim
  • Benny Sudakov
  • Van H. Vu
چکیده

This paper studies the symmetry of random regular graphs and random graphs. Our main result shows that for all 3 ≤ d ≤ n − 4 the random d-regular graph on n vertices almost surely has no non-trivial automorphisms. This answers an open question of N. Wormald [13].

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عنوان ژورنال:
  • Random Struct. Algorithms

دوره 21  شماره 

صفحات  -

تاریخ انتشار 2002