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Non-Hamiltonian $\frac{3}{2}$-Tough Plane Triangulations

Shan, Songling
arXiv (All) · Papers
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combinatorics
By Tutte's classic theorem of 1956 that every 4-connected planar graph is Hamiltonian, every planar graph of order at least three with toughness greater than $\frac{3}{2}$ is Hamiltonian. In 1999, Owens constructed a sequence of maximal planar graphs whose toughness approaches $\frac{3}{2}$ from bel
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