In a seminal STOC'95 paper, Arya et al. conjectured that spanners for low-dimensional Euclidean spaces with constant maximum degree, hop-diameter O(log n) and lightness O(log n) (i.e., weight O(log n)·w(MST)) can be constructed in O(n log n) time. This conjecture, which became a central open question in this area, was resolved in the affirmative by Elkin and Solomon in STOC'13 (even for doubling metrics). In this work we present a simpler construction of spanners for doubling metrics with the above guarantees. Moreover, our construction extends in a simple and natural way to provide k-fault tolerant spanners with maximum degree O(k2), hop-diameter O(log n) and lightness O(k2 log n). © 2013 Springer-Verlag.
CITATION STYLE
Chan, T. H. H., Li, M., Ning, L., & Solomon, S. (2013). New doubling spanners: Better and simpler. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7965 LNCS, pp. 315–327). https://doi.org/10.1007/978-3-642-39206-1_27
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