TY - GEN
T1 - New doubling spanners
T2 - 40th International Colloquium on Automata, Languages, and Programming, ICALP 2013
AU - Chan, T. H.Hubert
AU - Li, Mingfei
AU - Ning, Li
AU - Solomon, Shay
N1 - Funding Information: This work is supported by the Koshland Center for basic Research.
PY - 2013
Y1 - 2013
N2 - 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).
AB - 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).
UR - http://www.scopus.com/inward/record.url?scp=84880285745&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-39206-1_27
DO - 10.1007/978-3-642-39206-1_27
M3 - منشور من مؤتمر
SN - 9783642392054
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 315
EP - 327
BT - Automata, Languages, and Programming - 40th International Colloquium, ICALP 2013, Proceedings
Y2 - 8 July 2013 through 12 July 2013
ER -