Alexander Roberts

activity

20162022

collaborators

Showing 2020Show all

2 papers · 1 filter

math.CO2020

Isoperimetric stability in lattices

Ben Barber, Joshua Erde, Peter Keevash +1

We obtain isoperimetric stability theorems for general Cayley digraphs on $Z^{d}$ . For any fixed $B$ that generates $Z^{d}$ over $Z$ , we characterise the app…

math.CO2020

Exact stability for Turán's Theorem

Dániel Korándi, Alexander Roberts, Alex Scott

Turán's Theorem says that an extremal $K_{r + 1}$ -free graph is $r$ -partite. The Stability Theorem of Erdős and Simonovits shows that if a $K_{r + 1}$ -free graph with $n$ vertices has…