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Greedy Spanners in Euclidean Spaces Admit Sublinear Separators
[article]

2021
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arXiv
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pre-print

The greedy spanner in a low dimensional Euclidean space is a fundamental geometric construction that has been extensively studied over three decades as it possesses the two most basic properties of a good spanner: constant maximum degree and constant lightness. Recently, Eppstein and Khodabandeh showed that the greedy spanner in ℝ^2 admits a sublinear separator in a strong sense: any subgraph of k vertices of the greedy spanner in ℝ^2 has a separator of size O(√(k)). Their technique is

arXiv:2107.06490v3
fatcat:rcrxzpkhlzc6fm4ssstoi3lbsq