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arXiv · 2607.26049

Recent progress in graph theory using expansion

Richard Montgomery
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Abstract

Graph expansion has long been recognised as an important and desirable property with applications in a wide range of areas in computer science and mathematics. A particular form of expansion known as `sublinear expansion' has recently been used particularly effectively in extremal graph theory, leading to the resolution of many long-standing and notable problems over the last decade and an improved understanding of the structure of sparse graphs. This survey will cover these advances.

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Richard Montgomery. 2026-07-28. Recent progress in graph theory using expansion. https://arxiv.org/abs/2607.26049

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