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- W4286977480 abstract "Let $D$ denote the distance matrix for an $n+1$ point metric space $(X,d)$. In the case that $X$ is an unweighted metric tree, the sum of the entries in $D^{-1}$ is always equal to $2/n$. Such trees can be considered as affinely independent subsets of the Hamming cube $H_n$, and it was conjectured that the value $2/n$ was minimal among all such subsets. In this paper we confirm this conjecture and give a geometric interpretation of our result which applies to any subset of $H_n$." @default.
- W4286977480 created "2022-07-25" @default.
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- W4286977480 date "2021-09-14" @default.
- W4286977480 modified "2023-09-25" @default.
- W4286977480 title "A problem on distance matrices of subsets of the Hamming cube" @default.
- W4286977480 doi "https://doi.org/10.48550/arxiv.2109.07052" @default.
- W4286977480 hasPublicationYear "2021" @default.
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