Antoine Labelle

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20202026

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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…