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COMGEO
2011
ACM
13 years 2 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
DM
2007
100views more  DM 2007»
13 years 7 months ago
Improved bounds on acyclic edge colouring
We prove that the acyclic chromatic index a (G) 6 for all graphs with girth at least 9. We extend the same method to obtain a bound of 4.52 with the girth requirement g 220. We al...
Rahul Muthu, N. Narayanan, C. R. Subramanian
TIT
2008
76views more  TIT 2008»
13 years 7 months ago
Improved Risk Tail Bounds for On-Line Algorithms
We prove the strongest known bound for the risk of hypotheses selected from the ensemble generated by running a learning algorithm incrementally on the training data. Our result i...
Nicolò Cesa-Bianchi, Claudio Gentile
ISAAC
2010
Springer
221views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Improved Online Algorithms for 1-Space Bounded 2-Dimensional Bin Packing
In this paper, we study 1-space bounded 2-dimensional bin packing and square packing. A sequence of rectangular items (square items, respectively) arrive over time, which must be p...
Yong Zhang, Jing-Chi Chen, Francis Y. L. Chin, Xin...
ICALP
2009
Springer
14 years 2 months ago
Improved Bounds for Speed Scaling in Devices Obeying the Cube-Root Rule
Speed scaling is a power management technique that involves dynamically changing the speed of a processor. This gives rise to dualobjective scheduling problems, where the operating...
Nikhil Bansal, Ho-Leung Chan, Kirk Pruhs, Dmitriy ...