David Ellis

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math.CO2024

On the maximum degree of induced subgraphs of the Kneser graph

Hou Tin Chau, David Ellis, Ehud Friedgut +1

For integers $n \geq k \geq 1$ , the {\em Kneser graph} $K (n, k)$ is the graph with vertex-set consisting of all the $k$ -element subsets of ${1, 2, \dots, n}$ , where two $k$ -element…

math.CO2024

Product Mixing in Compact Lie Groups

David Ellis, Guy Kindler, Noam Lifshitz +1

If $G$ is a group, we say a subset $S$ of $G$ is product-free if the equation $x y = z$ has no solutions with $x, y, z \in S$ . For $D \in N$ , a group $G$ is said to be $D$ -quas…