Rupert Li

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20202026

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Showing math.COShow all

3 papers · 1 filter

math.CO2025

Diameter Bounds for Friends-and-Strangers Graphs

Amogh Akella, Rupert Li

Consider two $n$ -vertex graphs $X$ and $Y$ , where we interpret $X$ as a social network with edges representing friendships and $Y$ as a movement graph with edges representing adjac…

math.CO2024

Vertex Connectivity of Friends-and-strangers Graphs

Neil Krishnan, Rupert Li

Friends-and-strangers graphs, coined by Defant and Kravitz, are denoted by $FS (X, Y)$ where $X$ and $Y$ are both graphs on $n$ vertices. The graph $X$ represents positions…

math.CO2020

Compatible Recurrent Identities of the Sandpile Group and Maximal Stable Configurations

Yibo Gao, Rupert Li

In the abelian sandpile model, recurrent chip configurations are of interest as they are a natural choice of coset representatives under the quotient of the reduced Laplacian. We i…