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JCT
2000
91views more  JCT 2000»
15 years 6 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...
SIAMCOMP
2000
106views more  SIAMCOMP 2000»
15 years 6 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
ORDER
2007
79views more  ORDER 2007»
15 years 5 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 4 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
JGT
2010
113views more  JGT 2010»
15 years 4 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