NDLI: Finding Regular Simple Paths in Graph Databases

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Mendelzon, Alberto O. Wood, Peter T.
Copyright Year	1995
Abstract	We consider the following problem: given a labelled directed graph G and a regular expression R, find all pairs of nodes connected by a simple path such that the concatenation of the labels along the path satisfies R. The problem is motivated by the observation that many recursive queries in relational databases can be expressed in this form, and by the implementation of a query language, $\textbf{G}^{+}$, based on this observation. We show that the problem is in general intractable, but present an algorithm than runs in polynomial time in the size of the graph when the regular expression and the graph are free of conflicts. We also present a class of languages whose expressions can always be evaluated in time polynomial in the size of both the graph and the expression, and characterize syntactically the expressions for such languages.
Starting Page	1235
Ending Page	1258
Page Count	24
File Format	PDF
ISSN	00975397
DOI	10.1137/S009753979122370X
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	6
Volume Number	24
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-13
Access Restriction	Subscribed
Subject Keyword	labelled directed graphs NP-completeness simple paths polynomial-time algorithms regular expressions
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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Finding Regular Simple Paths in Graph Databases