Spanning Properties of Theta–Theta-6

Graphs and Combinatorics(2020)

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摘要
We show that, unlike the Yao–Yao graph YY_6 , the Theta–Theta graph _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 _6 is unbounded.
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关键词
Yao graph,Theta graph,Spanner
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