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Lattice spanners of low degree

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2016) 9602 152-163
DOI: 10.1007/978-3-319-29221-2_13
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Abstract

Let δ0(P, k) denote the degree k dilation of a point set P in the domain of plane geometric spanners. If Λ is the infinite integer lattice, it is shown that [formula presented] and δ0(Λ, 4) = [formula presented]. If Λ is the infinite hexagonal lattice, it is shown that 2 ≤ δ0(Λ, 3) ≤ 3 and δ0(Λ, 4) = 2.

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Dumitrescu, A., & Ghosh, A. (2016). Lattice spanners of low degree. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9602, pp. 152–163). Springer Verlag. https://doi.org/10.1007/978-3-319-29221-2_13

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