Every simple 3-polytope of order 32 or less is Hamiltonian

Author:

Okamura Haruko

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference7 articles.

1. Hamiltonian circuits in simple 3-polytopes with up to 26 vertices

2. Hamiltonian circuits on simple 3-polytopes

3. Non-Hamiltonian simple 3-polytopes. In Recent Advances in Graph Theory. Academia Prague, Prague (1975) pp. 135–151.

4. Hamiltonian Circuits on Simple 3-Polytopes

5. Convex Polytopes. Wiley, New York (1967).

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1. Regular non-hamiltonian polyhedral graphs;Applied Mathematics and Computation;2018-12

2. Nonhamiltonian 3-Connected Cubic Planar Graphs;SIAM Journal on Discrete Mathematics;2000-01

3. The smallest non-hamiltonian 3-connected cubic planar graphs have 38 vertices;Journal of Combinatorial Theory, Series B;1988-12

4. Every simple 3-polytype with 34 vertices is Hamiltonian;Discrete Mathematics;1986-10

5. Hamiltonian cycles in cubic 3-connected bipartite planar graphs;Journal of Combinatorial Theory, Series B;1985-06

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