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- W3047480355 abstract "We prove that s r ( K k ) = O ( k 5 r 5 / 2 ) $s_r(K_k) = O(k^5 r^{5/2})$ , where s r ( K k ) $s_r(K_k)$ is the Ramsey parameter introduced by Burr, Erdős and Lovász in 1976, which is defined as the smallest minimum degree of a graph G $G$ such that any r $r$ -colouring of the edges of G $G$ contains a monochromatic K k $K_k$ , whereas no proper subgraph of G $G$ has this property. The construction used in our proof relies on a group theoretic model of generalised quadrangles introduced by Kantor in 1980." @default.
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- W3047480355 date "2022-04-15" @default.
- W3047480355 modified "2023-10-14" @default.
- W3047480355 title "The minimum degree of minimal Ramsey graphs for cliques" @default.
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- W3047480355 doi "https://doi.org/10.1112/blms.12658" @default.
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