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Relative Expressive Power of Navigational Querying on Graphs
"... Motivated by both established and new applications, we study navigational query languages for graphs (binary relations). The simplest language has only the two operators union and composition, together with the identity relation. We make more powerful languages by adding any of the following operato ..."
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Motivated by both established and new applications, we study navigational query languages for graphs (binary relations). The simplest language has only the two operators union and composition, together with the identity relation. We make more powerful languages by adding any of the following operators: intersection; set difference; projection; coprojection; converse; transitive closure; and the diversity relation. All these operators map binary relations to binary relations. We compare the expressive power of all resulting languages. We do this not only for general path queries (queries where the result may be any binary relation) but also for boolean or yes/no queries (expressed by the nonemptiness of an expression). For both cases, we present the complete Hasse diagram of relative expressiveness. In particular, the Hasse diagram for boolean queries contains nontrivial separations and a few surprising collapses.
The impact of transitive closure on the expressiveness of navigational query languages on unlabeled graphs
, 2013
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Storing and Indexing Massive RDF Data Sets
"... In this chapter we present a general survey of the current state of the art in RDF storage and indexing. In the flurry of research on RDF data management in the last decade, we can identify three different perspectives on RDF: (1) a relational perspective; (2) an entity perspective; and (3) a graph ..."
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In this chapter we present a general survey of the current state of the art in RDF storage and indexing. In the flurry of research on RDF data management in the last decade, we can identify three different perspectives on RDF: (1) a relational perspective; (2) an entity perspective; and (3) a graphbased perspective. Each of these three perspectives has drawn from ideas and results in three distinct research communities to propose solutions for managing RDF data: relational databases (for the relational perspective); information retrieval (for the entity perspective); and graph theory and graph databases (for the graphbased perspective). Our goal in this chapter is to give an uptodate overview of represpentative solutions within each perspective.
Relative Expressive Power of Navigational Querying on Graphs∗
, 2014
"... Motivated by both established and new applications, we study navigational query languages for graphs (binary relations). The simplest language has only the two operators union and composition, together with the identity relation. We make more powerful languages by adding any of the following opera ..."
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Motivated by both established and new applications, we study navigational query languages for graphs (binary relations). The simplest language has only the two operators union and composition, together with the identity relation. We make more powerful languages by adding any of the following operators: intersection; set difference; projection; coprojection; converse; and the diversity relation. All these operators map binary relations to binary relations. We compare the expressive power of all resulting languages. We do this not only for general path queries (queries where the result may be any binary relation) but also for boolean or yes/no queries (expressed by the nonemptiness of an expression). For both cases, we present the complete Hasse diagram of relative expressiveness. In particular the Hasse diagram for boolean queries contains some nontrivial separations and a few surprising collapses. 1
ARewriting XPath Queries using View Intersections: Tractability versus Completeness
"... The standard approach for optimization of XPath queries by rewriting using views techniques consists in navigating inside a view’s output, thus allowing the usage of only one view in the rewritten query. Algorithms for richer classes of XPath rewritings, using intersection or joins on node identifie ..."
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The standard approach for optimization of XPath queries by rewriting using views techniques consists in navigating inside a view’s output, thus allowing the usage of only one view in the rewritten query. Algorithms for richer classes of XPath rewritings, using intersection or joins on node identifiers, have been proposed, but they either lack completeness guarantees, or require additional information about the data. We identify the tightest restrictions under which an XPath can be rewritten in polynomial time using an intersection of views and propose an algorithm that works for any documents or type of identifiers. As a sideeffect, we analyze the complexity of the related problem of deciding if an XPath with intersection can be equivalently rewritten as one without intersection or union. We extend our formal study of the viewbased rewriting problem for XPath by describing also (i) algorithms for more complex rewrite plans, with no limitations on the number of intersection and navigation steps inside view outputs they employ, and (ii) adaptations of our techniques to deal with XML documents without persistent node Ids, in the presence of XML keys. Complementing our computational complexity study, we describe a proofofconcept implementation of our techniques and possible choices that may speed up execution in practice, regarding how rewrite plans are built, tested and executed. We also give a thorough experimental evaluation of these techniques, focusing on scalability and the running time improvements achieved by the execution of viewbased plans. 1.