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SIAMDM
2011
12 years 11 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
JACM
2007
92views more  JACM 2007»
13 years 4 months ago
Periodicity and unbordered words: A proof of the extended duval conjecture
The relationship between the length of a word and the maximum length of its unbordered factors is investigated in this paper. Consider a finite word w of length n. We call a word...
Tero Harju, Dirk Nowotka
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
ISCI
2008
116views more  ISCI 2008»
13 years 4 months ago
Discovery of maximum length frequent itemsets
The use of frequent itemsets has been limited by the high computational cost as well as the large number of resulting itemsets. In many real-world scenarios, however, it is often ...
Tianming Hu, Sam Yuan Sung, Hui Xiong, Qian Fu
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...
ICALP
2009
Springer
14 years 5 months ago
The Ehrenfeucht-Silberger Problem
We consider repetitions in words and solve a longstanding open problem about the relation between the period and the length of its longest unbordered factor. A word u is called bor...
Stepan Holub, Dirk Nowotka