Title
Common substrings in random strings
Abstract
In computational biology, an important problem is to identify a word of length k present in each of a given set of sequences. Here, we investigate the problem of calculating the probability that such a word exists in a set of r random strings. Existing methods to approximate this probability are either inaccurate when r 2 or are restricted to Bernoulli models. We introduce two new methods for computing this probability under Bernoulli and Markov models. We present generalizations of the methods to compute the probability of finding a word of length k shared among q of r sequences, and to allow mismatches. We show through simulations that our approximations are significantly more accurate than methods previously published.
Year
DOI
Venue
2006
10.1007/11780441_13
CPM
Keywords
Field
DocType
common substrings,markov model,length k present,important problem,present generalization,r random string,new method,computational biology,bernoulli model,r sequence,length k
Discrete mathematics,Combinatorics,Substring,Markov model,Generalization,Bernoulli process,String (computer science),Mathematics,Bernoulli's principle
Conference
Volume
ISSN
ISBN
4009
0302-9743
3-540-35455-7
Citations 
PageRank 
References 
0
0.34
7
Authors
2
Name
Order
Citations
PageRank
Eric Blais128622.49
Mathieu Blanchette263162.65