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ICALP
2005
Springer
14 years 2 months ago
Online Interval Coloring and Variants
We study interval coloring problems and present new upper and lower bounds for several variants. We are interested in four problems, online coloring of intervals with and without b...
Leah Epstein, Meital Levy
STOC
1993
ACM
76views Algorithms» more  STOC 1993»
14 years 17 days ago
Piecewise linear paths among convex obstacles
Let B be a set of n arbitrary possibly intersecting convex obstacles in Rd. It is shown that any two points which can be connected by a path avoiding the obstacles can also be c...
Mark de Berg, Jirí Matousek, Otfried Schwar...
DLT
2007
13 years 10 months ago
Inapproximability of Nondeterministic State and Transition Complexity Assuming P=!NP
Abstract. Inapproximability results concerning minimization of nondeterministic finite automata relative to given deterministic finite automata were obtained only recently, modul...
Hermann Gruber, Markus Holzer
SODA
2010
ACM
181views Algorithms» more  SODA 2010»
13 years 6 months ago
Near-Optimal Sublinear Time Algorithms for Ulam Distance
We give near-tight bounds for estimating the edit distance between two non-repetitive strings (Ulam distance) with constant approximation, in sub-linear time. For two strings of l...
Alexandr Andoni, Huy L. Nguyen
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
14 years 3 months ago
Improved Approximation of Linear Threshold Functions
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...
Ilias Diakonikolas, Rocco A. Servedio