Chords of Longest Cycles in Cubic Graphs

نویسنده

  • Carsten Thomassen
چکیده

We describe a general sufficient condition for a Hamiltonian graph to contain another Hamiltonian cycle. We apply it to prove that every longest cycle in a 3-connected cubic graph has a chord. We also verify special cases of an old conjecture of Sheehan on Hamiltonian cycles in 4-regular graphs and a recent conjecture on a second Hamiltonian cycle by Triesch, Nolles, and Vygen. 1997 Academic Press

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عنوان ژورنال:
  • J. Comb. Theory, Ser. B

دوره 71  شماره 

صفحات  -

تاریخ انتشار 1997