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» On numbers of Davenport-Schinzel sequences
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DM
1998
60views more  DM 1998»
13 years 4 months ago
On numbers of Davenport-Schinzel sequences
One class of Davenport-Schinzel sequences consists of finite sequences over n symbols without immediate repetitions and without any subsequence of the type abab. We present a bij...
Martin Klazar
SODA
2008
ACM
83views Algorithms» more  SODA 2008»
13 years 6 months ago
Splay trees, Davenport-Schinzel sequences, and the deque conjecture
We introduce a new technique to bound the asymptotic performance of splay trees. The basic idea is to transcribe, in an indirect fashion, the rotations performed by the splay tree...
Seth Pettie
COMPGEOM
2008
ACM
13 years 6 months ago
A simple and efficient kinetic spanner
We present a kinetic data structure for maintaining a (1+ )-spanner of size O(n/2 ) for a set of n moving points in the plane. Assuming the trajectories of the points can be descr...
Mohammad Ali Abam, Mark de Berg, Joachim Gudmundss...
SIAMDM
2011
12 years 12 months ago
Origins of Nonlinearity in Davenport-Schinzel Sequences
Abstract. A generalized Davenport–Schinzel sequence is one over a finite alphabet that excludes subsequences isomorphic to a fixed forbidden subsequence. The fundamental proble...
Seth Pettie
CORR
2007
Springer
104views Education» more  CORR 2007»
13 years 4 months ago
Sources of Superlinearity in Davenport-Schinzel Sequences
A generalized Davenport-Schinzel sequence is one over a finite alphabet that contains no subsequences isomorphic to a fixed forbidden subsequence. One of the fundamental problem...
Seth Pettie