Title
A Hitchhiker's Guide to descriptional complexity through analytic combinatorics
Abstract
Nowadays, increasing attention is being given to the study of the descriptional complexity in the average case. Although the underlying theory for such a study seems intimidating, one can obtain interesting results in this area without too much effort. In this gentle introduction we take the reader on a journey through the basic analytical tools of that theory, giving some illustrative examples using regular expressions. Additionally, new asymptotic average-case results for several @e-NFA constructions are presented, in a unified framework. It turns out that, asymptotically, and in the average case, the complexity gap between the several constructions is significantly larger than in the worst case. Furthermore, one of the @e-NFA constructions approaches the corresponding @e-free NFA construction, asymptotically and on average.
Year
DOI
Venue
2014
10.1016/j.tcs.2014.02.013
Theor. Comput. Sci.
Keywords
DocType
Volume
basic analytical tool,e-NFA construction,illustrative example,e-free NFA construction,underlying theory,descriptional complexity,analytic combinatorics,worst case,average case,complexity gap,gentle introduction
Journal
528,
ISSN
Citations 
PageRank 
0304-3975
7
0.54
References 
Authors
18
4
Name
Order
Citations
PageRank
Sabine Broda16413.83
António Machiavelo2458.82
Nelma Moreira318033.98
Rogério Reis414025.74