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math.CO2020
On the genera of polyhedral embeddings of cubic graph
Gunnar Brinkmann, Thomas Tucker, Nico Van Cleemput
In this article we present theoretical and computational results on the existence of polyhedral embeddings of graphs. The emphasis is on cubic graphs. We also describe an efficient…
math.CO2020★ 2 cited
Hamiltonian cycles and 1-factors in 5-regular graphs
Nico Van Cleemput, Carol T. Zamfirescu
It is proven that for any integer and , there exist infinitely many 5-regular graphs of genus containing a 1-factorisation with exactly …