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COMBINATORICS
2002
85views more  COMBINATORICS 2002»
13 years 10 months ago
Parking Functions of Types A and B
The lattice of noncrossing partitions can be embedded into the Cayley graph of the symmetric group. This allows us to rederive connections between noncrossing partitions and parki...
Philippe Biane
DM
2002
104views more  DM 2002»
13 years 10 months ago
Graphs induced by Gray codes
We disprove a conjecture of Bultena and Ruskey [1], that all trees which are cyclic graphs of cyclic Gray codes have diameter 2 or 4, by producing codes whose cyclic graphs are tre...
Elizabeth L. Wilmer, Michael D. Ernst
JCT
2000
91views more  JCT 2000»
13 years 10 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»
13 years 10 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»
13 years 9 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