Van Magnan

collaborators

2 papers

math.CO2024

Positive co-degree thresholds for spanning structures

Anastasia Halfpap, Van Magnan

The \textit{minimum positive co-degree} of a non-empty $r$ -graph $H$ , denoted $I^´_{r - 1}^{+} (H)$ , is the largest integer $k$ such that if a set $S \subset V (H)$ of size $r - 1$ is conta…

math.CO2024

Generalized Ramsey-TurÃ¡n Numbers

JÃ³zsef Balogh, Van Magnan, Cory Palmer

The Ramsey-TurÃ¡n problem for $K_{p}$ asks for the maximum number of edges in an $n$ -vertex $K_{p}$ -free graph with independence number $o (n)$ . In a natural generalization of the probl…