Cycle spectra of Hamiltonian graphs
نویسندگان
چکیده
We prove that every Hamiltonian graph with n vertices and m edges has cycles of at least √ 4 7(m − n) different lengths. The coefficient 4/7 cannot be increased above 1, since when m = n2/4 there are √ m − n + 1 cycle lengths in Kn/2,n/2. For general m and n there are examples having at most 2 ⌈
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عنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 102 شماره
صفحات -
تاریخ انتشار 2012