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COMGEO
2011
ACM
13 years 3 months ago
Improved bounds for cops-and-robber pursuit
We prove that n cops can capture (that is, some cop can get less than unit distance from) a robber in a continuous square region with side length less than √ 5n and hence that n/...
Laurent Alonso, Edward M. Reingold
AOR
2007
107views more  AOR 2007»
13 years 8 months ago
Job Shop Scheduling with Unit Length Tasks: Bounds and Algorithms
We consider the job shop scheduling problem unit−Jm, where each job is processed once on each of m given machines. Every job consists of a permutation of tasks for all machines....
Juraj Hromkovic, Tobias Mömke, Kathleen Stein...
ANTS
2006
Springer
94views Algorithms» more  ANTS 2006»
14 years 6 days ago
Fast Bounds on the Distribution of Smooth Numbers
Let P(n) denote the largest prime divisor of n, and let (x, y) be the number of integers n x with P(n) y. In this paper we present improvements to Bernstein's algorithm, whi...
Scott T. Parsell, Jonathan Sorenson
ICALP
2005
Springer
14 years 2 months ago
On Dynamic Bit-Probe Complexity
This paper presents several advances in the understanding of dynamic data structures in the bit-probe model: – We improve the lower bound record for dynamic language membership p...
Corina E. Patrascu, Mihai Patrascu
STACS
2009
Springer
14 years 1 months ago
Asymptotically Optimal Lower Bounds on the NIH-Multi-Party Information Complexity of the AND-Function and Disjointness
Here we prove an asymptotically optimal lower bound on the information complexity of the k-party disjointness function with the unique intersection promise, an important special ca...
Andre Gronemeier