1 citations · 1 across the 2 of their papers we have counts for
4 papers
Well-quasi-orders on embedded planar graphs
Corentin Lunel, Clément Maria
The central theorem of topological graph theory states that the graph minor relation is a well-quasi-order on graphs. It has far-reaching consequences, in particular in the study o…
Hard diagrams of split links
Corentin Lunel, Arnaud de Mesmay, Jonathan Spreer
Deformations of knots and links in ambient space can be studied combinatorially on their diagrams via local modifications called Reidemeister moves. While it is well-known that, in…
Hopf Arborescent Links, Minor Theory, and Decidability of the Genus Defect
Pierre Dehornoy, Corentin Lunel, Arnaud de Mesmay
While the problem of computing the genus of a knot is now fairly well understood, no algorithm is known for its four-dimensional variants, both in the smooth and in the topological…
A Structural Approach to Tree Decompositions of Knots and Spatial Graphs
Corentin Lunel, Arnaud de Mesmay
Knots are commonly represented and manipulated via diagrams, which are decorated planar graphs. When such a knot diagram has low treewidth, parameterized graph algorithms can be le…