7 citations · 10 across the 6 of their papers we have counts for
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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 …
math.CO2017★ 7 cited
Sizes of Pentagonal Clusters in Fullerenes
Nino Bašić, Gunnar Brinkmann, Patrick W. Fowler +2
Stability and chemistry, both exohedral and endohedral, of fullerenes are critically dependent on the distribution of their obligatory 12 pentagonal faces. It is well known that th…