TY - GEN
T1 - Streaming and fully dynamic centralized algorithms for constructing and maintaining sparse spanners
AU - Elkin, Michael
PY - 2007/1/1
Y1 - 2007/1/1
N2 - We present a streaming algorithm for constructing sparse spanners and show that our algorithm out-performs significantly the state-of-the-art algorithm for this task [20]. Specifically, the processing time-per-edge of our algorithm is drastically smaller than that of the algorithm of [20], and all other efficiency parameters of our algorithm are no greater (and some of them are strictly smaller) than the respective parameters for the state-of-the-art algorithm. We also devise a fully dynamic centralized algorithm maintaining sparse spanners. This algorithm has a very small incremental update time, and a non-trivial decremental update time. To our knowledge, this is the first fully dynamic centralized algorithm for maintaining sparse spanners that provides non-trivial bounds on both incremental and decre-mental update time for a wide range of stretch parameter t.
AB - We present a streaming algorithm for constructing sparse spanners and show that our algorithm out-performs significantly the state-of-the-art algorithm for this task [20]. Specifically, the processing time-per-edge of our algorithm is drastically smaller than that of the algorithm of [20], and all other efficiency parameters of our algorithm are no greater (and some of them are strictly smaller) than the respective parameters for the state-of-the-art algorithm. We also devise a fully dynamic centralized algorithm maintaining sparse spanners. This algorithm has a very small incremental update time, and a non-trivial decremental update time. To our knowledge, this is the first fully dynamic centralized algorithm for maintaining sparse spanners that provides non-trivial bounds on both incremental and decre-mental update time for a wide range of stretch parameter t.
UR - https://www.scopus.com/pages/publications/38149009637
U2 - 10.1007/978-3-540-73420-8_62
DO - 10.1007/978-3-540-73420-8_62
M3 - Conference contribution
AN - SCOPUS:38149009637
SN - 3540734198
SN - 9783540734192
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 716
EP - 727
BT - Automata, Languages and Programming - 34th International Colloquium, ICALP 2007, Proceedings
PB - Springer Verlag
T2 - 34th International Colloquium on Automata, Languages and Programming, ICALP 2007
Y2 - 9 July 2007 through 13 July 2007
ER -