Title
On the average complexity for the verification of compatible sequences.
Abstract
The average complexity analysis for a formalism pertaining pairs of compatible sequences is presented. The analysis is done in two levels, so that an accurate estimate is achieved. The way of separating the candidate pairs into suitable classes of ternary sequences is interesting, allowing the use of fundamental tools of symbolic computation, such as holonomic functions and asymptotic analysis to derive an average complexity of O(nnlogn) for sequences of length n.
Year
DOI
Venue
2011
10.1016/j.ipl.2011.05.015
Information Processing Letters
Keywords
Field
DocType
Sequences,Periodic autocorrelation function,Non-periodic autocorrelation function,Complexity,Algorithms,Average-case analysis,Symbolic computation
Discrete mathematics,Asymptotic computational complexity,Combinatorics,Holonomic,Compatibility (mechanics),Symbolic computation,Ternary operation,Complementary sequences,Formalism (philosophy),Asymptotic analysis,Mathematics
Journal
Volume
Issue
ISSN
111
17
0020-0190
Citations 
PageRank 
References 
1
0.36
3
Authors
4
Name
Order
Citations
PageRank
Christos Koukouvinos18434.73
Veronika Pillwein2236.89
Dimitris E. Simos310023.45
Zafeirakis Zafeirakopoulos4265.04