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A Hamiltonian graph (directed or undirected) is a graph that contains a Hamiltonian cycle, that is, a cycle that visits every vertex exactly once.

3 votes

Efficient Hamiltonian cycle algorithms for graph classes

There are linear-time algorithms based on Whitney's and Tutte's theorems on 4-connected planar graphs: Asano, Takao, Shunji Kikuchi, and Nobuji Saito. "A linear algorithm for finding Hamiltonian cycl …
Joseph O'Rourke's user avatar
4 votes

Number Associated with Straight-line Drawings of Hamiltonian Graphs

Slightly later, and less formally published reference, than David E.'s citation: Sharir, Micha, Adam Sheffer, and Emo Welzl. "Counting plane graphs: Perfect matchings, spanning cycles, and Kastele …
Joseph O'Rourke's user avatar