Pjotr Buys

activity

20192026

most citedUniqueness of the Gibbs measure for the

4

-state anti-ferromagnetic Potts model on the regular tree

5 citations · 20 across the 14 of their papers we have counts for

collaborators

Showing 2025 · math.COShow all

2 papers · 2 filters

math.CO2025

A group-theoretic approach to Shannon capacity of graphs and a limit theorem from lattice packings

Pjotr Buys, Sven Polak, Jeroen Zuiddam

We develop a group-theoretic approach to the Shannon capacity problem. Using this approach we extend and recover, in a structured and unified manner, various families of previously…

math.CO2025

Triangle-free graphs with the fewest independent sets

Pjotr Buys, Jan van den Heuvel, Ross J. Kang

Given $d > 0$ and a positive integer $n$ , let $G$ be a triangle-free graph on $n$ vertices with average degree $d$ . With an elegant induction, Shearer (1983) tightened a seminal resu…