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» On Superlinear Lower Bounds in Complexity Theory
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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 5 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
LICS
2009
IEEE
14 years 2 months ago
An Improved Lower Bound for the Complementation of Rabin Automata
Automata on infinite words (ω-automata) have wide applications in formal language theory as well as in modeling and verifying reactive systems. Complementation of ωautomata is ...
Yang Cai, Ting Zhang, Haifeng Luo
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 8 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
SPAA
2006
ACM
14 years 1 months ago
On space-stretch trade-offs: lower bounds
One of the fundamental trade-offs in compact routing schemes is between the space used to store the routing table on each node and the stretch factor of the routing scheme – th...
Ittai Abraham, Cyril Gavoille, Dahlia Malkhi
COCO
2003
Springer
118views Algorithms» more  COCO 2003»
14 years 25 days ago
Lower bounds for predecessor searching in the cell probe model
We consider a fundamental problem in data structures, static predecessor searching: Given a subset S of size n from the universe [m], store S so that queries of the form “What i...
Pranab Sen