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Spanning Properties of Theta-Theta-6
Published 14 Aug 2018 in cs.CG | (1808.04744v1)
Abstract: We show that, unlike the Yao-Yao graph $YY_6$, the Theta-Theta graph $\Theta\Theta_6$ defined by six cones is a spanner for sets of points in convex position. We also show that, for sets of points in non-convex position, the spanning ratio of $\Theta\Theta_6$ is unbounded.
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