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» On the Black-Box Complexity of Sperner's Lemma
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FCT
2005
Springer
13 years 10 months ago
On the Black-Box Complexity of Sperner's Lemma
We present several results on the complexity of various forms of Sperner’s Lemma in the black-box model of computing. We give a deterministic algorithm for Sperner problems over ...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
CIE
2006
Springer
13 years 8 months ago
On the Complexity of the Sperner Lemma
Stefan S. Dantchev
ENDM
2008
80views more  ENDM 2008»
13 years 4 months ago
Polytopal complexes: maps, chain complexes and... necklaces
The notion of polytopal map between two polytopal complexes is defined. Surprisingly, this definition is quite simple and extends naturally those of simplicial and cubical maps. It...
Frédéric Meunier
ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 4 months ago
Quantum Separation of Local Search and Fixed Point Computation
In this paper, we give a lower bound of (n(d-1)/2 ) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [1 : n]d . Our bound is near...
Xi Chen, Xiaoming Sun, Shang-Hua Teng