Antoine Labelle

collaborators

3 papers

math.CO2021

Digraphs with exactly one Eulerian tour

Luz Grisales, Antoine Labelle, Rodrigo Posada +1

We give two combinatorial proofs of the fact that the number of loopless digraphs on the vertex set $[n]$ with no isolated vertices and with exactly one Eulerian tour up to a cycli…

math.CO2020

Extremal results for graphs of bounded metric dimension

Jesse Geneson, Suchir Kaustav, Antoine Labelle

Metric dimension is a graph parameter motivated by problems in robot navigation, drug design, and image processing. In this paper, we answer several open extremal problems on metri…

math.CO2020

Ulam Sets in New Settings

Tej Bade, Kelly Cui, Antoine Labelle +1

The classical Ulam sequence is defined recursively as follows: $a_{1} = 1$ , $a_{2} = 2$ , and $a_{n}$ , for $n > 2$ , is the smallest integer not already in the sequence that can be written uni…