A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
Derandomization Beyond Connectivity: Undirected Laplacian Systems in Nearly Logarithmic Space
2017
2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS)
We give a deterministicÕ(log n)-space algorithm for approximately solving linear systems given by Laplacians of undirected graphs, and consequently also approximating hitting times, commute times, and escape probabilities for undirected graphs. Previously, such systems were known to be solvable by randomized algorithms using O(log n) space (Doron, Le Gall, and Ta-Shma, 2017) and hence by deterministic algorithms using O(log 3/2 n) space (Saks and Zhou, FOCS 1995 and JCSS 1999). Our algorithm
doi:10.1109/focs.2017.79
dblp:conf/focs/MurtaghRSV17
fatcat:hw3sxqd5wvgnljea3yrdqb54oy