43 citations · 147 across the 33 of their papers we have counts for
4 papers · 1 filter
Dual matroids of 2-complexes -- revisited
Johannes Carmesin
We prove that simply connected local 2-dimensional simplicial complexes embed in 3-space if and only if their dual matroids are graphic. Examples are provided that the assumptions…
On Andreae's Ubiquity Conjecture
Johannes Carmesin
A graph is ubiquitous if for every graph that for every natural number contains vertex-disjoint -minors contains infinitely many vertex-disjoint -minors. Andr…
Entanglements
Johannes Carmesin, Jan Kurkofka
Robertson and Seymour constructed for every graph a tree-decomposition that efficiently distinguishes all the tangles in . While all previous constructions of these decompos…
A characterisation of 3-colourable 3-dimensional triangulations
Johannes Carmesin, Emily Nevinson, Bethany Saunders
We extend Heawood's theorem on the colourability of plane triangulations to triangulations of 3-space. We prove that a triangulation of 3-space can be edge coloured with three colo…