New lower bound techniques for dynamic partial sums and related problems
Författare
Summary, in English
We study the complexity of the dynamic partial sum problem in the cell-probe model. We give the model access to nondeterministic queries and prove that the problem remains hard. We give the model access to the right answer +/-1 as an oracle and prove that the problem remains hard. This suggests which kind of information is hard to maintain. From these results, we derive a number of lower bounds for dynamic algorithms and data structures: We prove lower bounds for dynamic algorithms for existential range queries, reachability in directed graphs, planarity testing, planar point location, incremental parsing, and fundamental data structure problems like maintaining the majority of the prefixes of a string of bits. We prove a lower bound for reachability in grid graphs in terms of the graph's width. We characterize the complexity of maintaining the value of any symmetric function on the prefixes of a bit string.
Avdelning/ar
- Computer Science
Publiceringsår
2003
Språk
Engelska
Sidor
736-753
Publikation/Tidskrift/Serie
SIAM Journal on Computing
Volym
32
Issue
3
Dokumenttyp
Artikel i tidskrift
Förlag
Society for Industrial and Applied Mathematics
Ämne
- Computer Science
Nyckelord
- cell-probe model
- data structure
- partial sum
- dynamic algorithm
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0097-5397