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COCO
2000
Springer
123views Algorithms» more  COCO 2000»
13 years 12 months ago
A Lower Bound for the Shortest Path Problem
We show that the Shortest Path Problem cannot be solved in o(log n) time on an unbounded fan-in PRAM without bit operations using poly(n) processors even when the bit-lengths of t...
Ketan Mulmuley, Pradyut Shah
ECCC
2008
107views more  ECCC 2008»
13 years 7 months ago
A Quantum Time-Space Lower Bound for the Counting Hierarchy
We obtain the first nontrivial time-space lower bound for quantum algorithms solving problems related to satisfiability. Our bound applies to MajSAT and MajMajSAT, which are compl...
Dieter van Melkebeek, Thomas Watson
STOC
2010
ACM
244views Algorithms» more  STOC 2010»
14 years 5 months ago
Improving Exhaustive Search Implies Superpolynomial Lower Bounds
The P vs NP problem arose from the question of whether exhaustive search is necessary for problems with short verifiable solutions. We do not know if even a slight algorithmic imp...
Ryan Williams
RECOMB
2005
Springer
14 years 8 months ago
Improved Recombination Lower Bounds for Haplotype Data
Recombination is an important evolutionary mechanism responsible for the genetic diversity in humans and other organisms. Recently, there has been extensive research on understandi...
Vineet Bafna, Vikas Bansal
CORR
2007
Springer
181views Education» more  CORR 2007»
13 years 7 months ago
A new lower bound on the independence number of a graph
For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -((2m+n+2)2 -16n2 )½ )/8. Keywords : independence numbe...
Ossama Kettani