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math.CO2021
On Local Operations that Preserve Symmetries and on Preserving Polyhedrality of Embeddings
Gunnar Brinkmann, Heidi Van den Camp
We prove that local operations that preserve all symmetries, as e.g. dual, truncation, ambo, or join,, as well as local operations that preserve all symmetries except orientation r…
math.CO2021★ 4 cited
The Minimality of the Georges-Kelmans Graph
Gunnar Brinkmann, Jan Goedgebeur, Brendan D. McKay
In 1971, Tutte wrote in an article that "it is tempting to conjecture that every 3-connected bipartite cubic graph is hamiltonian". Motivated by this remark, Horton constructed a c…