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» An approximation ratio for biclustering
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ISPD
1998
ACM
107views Hardware» more  ISPD 1998»
15 years 10 months ago
Sequence-pair based placement method for hard/soft/pre-placed modules
This paper proposes a placement method for a mixed set of hard, soft, and pre-placed modules, based on a placement topology representation called sequence-pair. Under one sequence...
Hiroshi Murata, Ernest S. Kuh
CCCG
2008
15 years 7 months ago
Improved Bounds on the Average Distance to the Fermat-Weber Center of a Convex Object
We show that for any convex object Q in the plane, the average distance between the Fermat-Weber center of Q and the points in Q is at least 4(Q)/25, and at most 2(Q)/(3 3), wher...
A. Karim Abu-Affash, Matthew J. Katz
DMTCS
2003
89views Mathematics» more  DMTCS 2003»
15 years 7 months ago
On the Monotonic Computability of Semi-computable Real Numbers
Let h : N → Q be a computable function. A real number x is h-monotonically computable (h-mc, for short) if there is a computable sequence (xs) of rational numbers which converges...
Xizhong Zheng, George Barmpalias
CORR
2010
Springer
113views Education» more  CORR 2010»
15 years 6 months ago
Opaque sets
The problem of finding "small" sets that meet every straight-line which intersects a given convex region was initiated by Mazurkiewicz in 1916. We call such a set an opa...
Adrian Dumitrescu, János Pach
JCSS
2006
89views more  JCSS 2006»
15 years 6 months ago
Ramsey-type theorems for metric spaces with applications to online problems
A nearly logarithmic lower bound on the randomized competitive ratio for the metrical task systems problem is presented. This implies a similar lower bound for the extensively stu...
Yair Bartal, Béla Bollobás, Manor Me...