8 citations · 21 across the 12 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.CO2020
Cycle convexity and the tunnel number of links
Júlio Araújo, Victor Campos, Darlan Girão +3
In this work, we introduce a new graph convexity, that we call Cycle Convexity, motivated by related notions in Knot Theory. For a graph , define the interval function in…
math.GT2020★ 1 cited
On links minimizing the tunnel number
Darlan Girão, João M. Nogueira, António Salgueiro
We show a combinatorial argument in the diagram of large class of links, including satellite and hyperbolic links, where for each of which the tunnel number is the minimum possible…
math.GT2020★ 2 cited
Knot exteriors with all possible meridional essential surfaces
João M. Nogueira
We show the existence of infinitely many knot exteriors where each of which contains meridional essential surfaces of any genus and (even) number of boundary components. That is, t…