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115
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JCT
2000
91views more  JCT 2000»
15 years 3 months ago
Averaging Sequences, Deranged Mappings, and a Problem of Lampert and Slater
We answer a question posed by Lampert and Slater [7]. Consider a sequence of real numbers qn in the interval [0, 1] defined by q0 = 0, q1 = 1, and, for n 1, qn+1 equals an averag...
Neil J. Calkin, E. Rodney Canfield, Herbert S. Wil...
135
Voted
SIAMCOMP
2000
106views more  SIAMCOMP 2000»
15 years 3 months ago
Computationally Sound Proofs
This paper puts forward a new notion of a proof based on computational complexity and explores its implications for computation at large. Computationally sound proofs provide, in a...
Silvio Micali
124
Voted
ORDER
2007
79views more  ORDER 2007»
15 years 3 months ago
Computable Linearizations of Well-partial-orderings
Abstract. We analyze results on well-partial-orderings from the viewpoint of computability theory, and we answer a question posed by Diana Schmidt. We obtain the following results....
Antonio Montalbán
JCT
2010
102views more  JCT 2010»
15 years 2 months ago
Coloring axis-parallel rectangles
For every k and r, we construct a finite family of axis-parallel rectangles in the plane such that no matter how we color them with k colors, there exists a point covered by prec...
János Pach, Gábor Tardos
114
Voted
JGT
2010
113views more  JGT 2010»
15 years 2 months ago
Coloring plane graphs with independent crossings
We show that every plane graph with maximum face size four whose all faces of size four are vertex-disjoint is cyclically 5-colorable. This answers a question of Albertson whether...
Daniel Král', Ladislav Stacho