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COMGEO
2011
ACM
15 years 1 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»
15 years 6 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»
15 years 10 months 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
16 years 5 days 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
15 years 11 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