2 papers
math.CO2025
Independent Sets in Hypergraphs
Jacques Verstraete, Chase Wilson
A theorem of Shearer states that every -vertex triangle-free graph of maximum degree contains an independent set of size at least $(d\log d - d + 1)/(d - 1)^2 \cdot n…
math.NT2025
An analogue of the Herbrand-Ribet theorem in graph theory
Daniel Vallières, Chase A. Wilson
We study an analogue of the Herbrand-Ribet theorem, and its refinement by Mazur and Wiles, in graph theory. For an odd prime number , we let and $\mathbb{Z}_{p}…