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- W4225713179 abstract "A recent generalization of the ErdH{o}s Unit Distance Problem, proposed by Palsson, Senger and Sheffer, asks for the maximum number of unit distance paths with a given number of vertices in the plane and in $3$-space. Studying a variant of this question, we prove sharp bounds on the number of unit distance paths and cycles on the sphere of radius $1/sqrt{2}$. We also consider a similar problem about $3$-regular unit distance graphs in $mathbb{R}^3$." @default.
- W4225713179 created "2022-05-05" @default.
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- W4225713179 date "2022-02-06" @default.
- W4225713179 modified "2023-09-24" @default.
- W4225713179 title "On some non-rigid unit distance patterns" @default.
- W4225713179 doi "https://doi.org/10.48550/arxiv.2202.02919" @default.
- W4225713179 hasPublicationYear "2022" @default.
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