Title
On the size of Boyer-Moore automata
Abstract
In this work we study the size of Boyer-Moore automata introduced in Knuth, Morris & Pratt's famous paper on pattern matching. We experimentally show that a finite class of binary patterns produce very large Boyer-Moore automata, and find one particular case which we conjecture, generates automata of size @W(m^6). Further experimental results suggest that the maximal size could be a polynomial of O(m^7), or even an exponential O(2^0^.^4^m), where m is the length of the pattern.
Year
DOI
Venue
2009
10.1016/j.tcs.2009.07.024
Theor. Comput. Sci.
Keywords
DocType
Volume
maximal size,Boyer-Moore automaton,binary pattern,exponential O,large Boyer-Moore automaton,pattern matching,experimental result,famous paper,finite class,particular case
Journal
410
Issue
ISSN
Citations 
43
0304-3975
1
PageRank 
References 
Authors
0.35
4
4
Name
Order
Citations
PageRank
Ricardo Baeza-Yates16173635.97
Véronique Bruyère242943.59
O Delgrange311211.20
Rodrigo Scheihing461.02