TY - GEN
T1 - Distance labels with optimal local stretch
AU - Abraham, Ittai
AU - Chechik, Shiri
PY - 2014
Y1 - 2014
N2 - This paper studies distance oracles and distance labeling scheme with local stretch. Informally we would like to provide stretch guarantees for the r closest nodes of each node. A distance oracle has local stretch k for r neighborhoods if for any u,v such that v = M(u,r′) and r′ ≤ r: dist(u, v) ≤ dĩst (u, v) ≤ kdist(u, v), where M(u,r′) is the r′ closest node to u and is the estimated distance returned by the distance oracle. For parameters r > 1, k > 1, we obtain labels of size O(r1/k ln1 - 1/k r + ln k), with local stretch of 2k - 1 for r neighborhoods in O(k) time, significantly improving the query time and stretch constant of [ABN09]. Moreover, our stretch guarantee of 2k - 1 matches the best known (and conjectured optimal) guarantees of standard distance oracles.
AB - This paper studies distance oracles and distance labeling scheme with local stretch. Informally we would like to provide stretch guarantees for the r closest nodes of each node. A distance oracle has local stretch k for r neighborhoods if for any u,v such that v = M(u,r′) and r′ ≤ r: dist(u, v) ≤ dĩst (u, v) ≤ kdist(u, v), where M(u,r′) is the r′ closest node to u and is the estimated distance returned by the distance oracle. For parameters r > 1, k > 1, we obtain labels of size O(r1/k ln1 - 1/k r + ln k), with local stretch of 2k - 1 for r neighborhoods in O(k) time, significantly improving the query time and stretch constant of [ABN09]. Moreover, our stretch guarantee of 2k - 1 matches the best known (and conjectured optimal) guarantees of standard distance oracles.
UR - http://www.scopus.com/inward/record.url?scp=84904198577&partnerID=8YFLogxK
U2 - 10.1007/978-3-662-43948-7_5
DO - 10.1007/978-3-662-43948-7_5
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AN - SCOPUS:84904198577
SN - 9783662439470
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 52
EP - 63
BT - Automata, Languages, and Programming - 41st International Colloquium, ICALP 2014, Proceedings
PB - Springer Verlag
T2 - 41st International Colloquium on Automata, Languages, and Programming, ICALP 2014
Y2 - 8 July 2014 through 11 July 2014
ER -