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Jul 30, 2019 at 14:22 comment added Joseph O'Rourke Just one result, so not an answer to your question: Almost every $r$-regular digraph is Hamiltonian for $r \ge 3$. Cooper, Colin, Alan Frieze, and Michael Molloy. "Hamilton cycles in random regular digraphs." Combinatorics, Probability and Computing 3, no. 1 (1994): 39-49.
Jul 30, 2019 at 14:10 history edited Aidan Rocke CC BY-SA 4.0
added examples for the case of simple graphs
Jul 30, 2019 at 6:33 history edited Aidan Rocke
added reference tag
Jul 30, 2019 at 6:16 history edited Aidan Rocke
edited tags
Jul 30, 2019 at 5:43 history edited Aidan Rocke CC BY-SA 4.0
added a qualifier for the type of book I'm looking for
Jul 30, 2019 at 5:28 history asked Aidan Rocke CC BY-SA 4.0