Greedy spanners are optimal in doubling metrics
نویسندگان
چکیده
We show that the greedy spanner algorithm constructs a (1+ )-spanner of weight −O(d)w(MST) for a point set in metrics of doubling dimension d, resolving an open problem posed by Gottlieb [11]. Our result generalizes the result by Narasimhan and Smid [15] who showed that a point set in d-dimension Euclidean space has a (1+ )-spanner of weight at most −O(d)w(MST). Our proof only uses the packing property of doubling metrics and thus implies a much simpler proof for the same result in Euclidean space.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1712.05007 شماره
صفحات -
تاریخ انتشار 2017