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math.CO2022
Disjoint faces in simple drawings of the complete graph and topological Heilbronn problems
Alfredo Hubard, Andrew Suk
Given a complete simple topological graph , a -face generated by is the open bounded region enclosed by the edges of a non-self-intersecting -cycle in . Interesting…
cs.CG2022
Short Topological Decompositions of Non-Orientable Surfaces
Niloufar Fuladi, Alfredo Hubard, Arnaud de Mesmay
In this article, we investigate short topological decompositions of non-orientable surfaces and provide algorithms to compute them. Our main result is a polynomial-time algorithm t…