6 citations · 10 across the 12 of their papers we have counts for
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math.GT2014★ 6 cited
On the Complexity of Immersed Normal Surfaces
Benjamin A. Burton, Éric Colin de Verdière, Arnaud de Mesmay
Normal surface theory, a tool to represent surfaces in a triangulated 3-manifold combinatorially, is ubiquitous in computational 3-manifold theory. In this paper, we investigate a…
math.CO2014
Discrete Systolic Inequalities and Decompositions of Triangulated Surfaces
Éric Colin de Verdière, Alfredo Hubard, Arnaud de Mesmay
How much cutting is needed to simplify the topology of a surface? We provide bounds for several instances of this question, for the minimum length of topologically non-trivial clos…