Jamie Radcliffe

activity

20182023

most citedStability and Erdős--Stone type results for

F

-free graphs with a fixed number of edges

1 citations · 1 across the 11 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.CO2023

Reflect-Push Methods Part I: Two Dimensional Techniques

Nikola Kuzmanovski, Jamie Radcliffe

We determine all maximum weight downsets in the product of two chains, where the weight function is a strictly increasing function of the rank. Many discrete isoperimetric problems…

math.CO2023

Neighborhood Variants of the KKM Lemma, Lebesgue Covering Theorem, and Sperner's Lemma on the Cube

Jason Vander Woude, Peter Dixon, A. Pavan +2

We establish a "neighborhood" variant of the cubical KKM lemma and the Lebesgue covering theorem and deduce a discretized version which is a "neighborhood" variant of Sperner's lem…

cs.CC2023

Geometry of Rounding: Near Optimal Bounds and a New Neighborhood Sperner's Lemma

Jason Vander Woude, Peter Dixon, A. Pavan +2

A partition $P$ of $R^{d}$ is called a $(k, ε)$ -secluded partition if, for every $p \in R^{d}$ , the ball $\overline{B}_{\infty}(\varepsilon,…