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Preprint Sep 2026

Isoperimetric Inequalities in the $\ell_{\infty}$ cube and torus

We prove an exact isoperimetric inequality for cubes and tori under the $\ell_{\infty} metric. As a corollary, we recover the celebrated grid edge-isoperimetric inequality of Bollob\'{a}s-Leader.

Ben Baker, J. Briggs, V. ManuelFernandez et al. · 0 citations
Preprint Oct 2026

An Induced Subgraph Paradigm for Strongly Regular Graph Constructions

How many disjoint copies of some graph $H$ can appear in an induced subgraph of a strongly regular graph? We give upper and lower bounds that depend on the number of vertices in their boundary. This generalizes a result of Lou-Murin which bounds the independence number of a (hitherto still elusive) strongly regular gra...

Ben Baker · 0 citations

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