TY - GEN
T1 - Distance oracles beyond the Thorup-Zwick bound
AU - Pǎtraşcu, Mihai
AU - Roditty, Liam
PY - 2010
Y1 - 2010
N2 - We give the first improvement to the space/approximation trade-off of distance oracles since the seminal result of Thorup and Zwick [STOC'01]. For unweighted graphs, our distance oracle has size O(n5/3) = O(n 1.66⋯) and, when queried about vertices at distance d, returns a path of length 2d + 1. For weighted graphs with m = n2/α edges, our distance oracle has size O(n2/3√α) and returns a factor 2 approximation. Based on a plausible conjecture about the hardness of set intersection queries, we show that a 2-approximate distance oracle requires space Ω(n2/√α). For unweighted graphs, this implies a Ω(n1.5) space lower bound to achieve approximation 2d + 1.
AB - We give the first improvement to the space/approximation trade-off of distance oracles since the seminal result of Thorup and Zwick [STOC'01]. For unweighted graphs, our distance oracle has size O(n5/3) = O(n 1.66⋯) and, when queried about vertices at distance d, returns a path of length 2d + 1. For weighted graphs with m = n2/α edges, our distance oracle has size O(n2/3√α) and returns a factor 2 approximation. Based on a plausible conjecture about the hardness of set intersection queries, we show that a 2-approximate distance oracle requires space Ω(n2/√α). For unweighted graphs, this implies a Ω(n1.5) space lower bound to achieve approximation 2d + 1.
UR - https://www.scopus.com/pages/publications/78751493709
U2 - 10.1109/focs.2010.83
DO - 10.1109/focs.2010.83
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???
AN - SCOPUS:78751493709
SN - 9780769542447
T3 - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
SP - 815
EP - 823
BT - Proceedings - 2010 IEEE 51st Annual Symposium on Foundations of Computer Science, FOCS 2010
PB - IEEE Computer Society
T2 - 2010 IEEE 51st Annual Symposium on Foundations of Computer Science, FOCS 2010
Y2 - 23 October 2010 through 26 October 2010
ER -