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

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???

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 -