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math.CO2021
On the spanning structure hierarchy of 3-connected planar graphs
On-Hei Solomon Lo
The prism over a graph is the Cartesian product of with the complete graph . is prism-hamiltonian if the prism over has a Hamilton cycle. A good even cactus is…
math.CO2021
Hamiltonian cycles in 4-connected planar and projective planar triangulations with few 4-separators
On-Hei Solomon Lo, Jianguo Qian
Whitney proved in 1931 that every 4-connected planar triangulation is hamiltonian. Later in 1979, Hakimi, Schmeichel and Thomassen conjectured that every such triangulation on …