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Two-way regular path queries (2-RPQs) allow one to use regular languages over edges and inverted edges in edge-labelled graph to constrain paths of interest. 2-RPQs are (partially) adopted in different real-world graph analysis systems and…

Data Structures and Algorithms · Computer Science 2025-06-17 Georgiy Belyanin , Semyon Grigoriev , Rodion Suvorov

A graph database is a digraph whose arcs are labeled with symbols from a fixed alphabet. A regular graph pattern (RGP) is a digraph whose edges are labeled with regular expressions over the alphabet. RGPs model navigational queries for…

Databases · Computer Science 2023-05-15 Laurent Beaudou , Florent Foucaud , Florent R. Madelaine , Lhouari Nourine , Gaétan Richad

Certifying feasibility in decision-making, critical in many industries, can be framed as a constraint satisfaction problem. This paper focuses on characterising a subset of parameter values from an a priori set that satisfy constraints on a…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Max Mowbray , Nilay Shah , Benoît Chachuat

We investigate graph transformations, defined using Datalog-like rules based on acyclic conjunctive two-way regular path queries (acyclic C2RPQs), and we study two fundamental static analysis problems: type checking and equivalence of…

Databases · Computer Science 2023-04-21 Iovka Boneva , Benoit Groz , Jan Hidders , Filip Murlak , Slawomir Staworko

SPARQL CONSTRUCT queries allow for the specification of data processing pipelines that transform given input graphs into new output graphs. It is now common to constrain graphs through SHACL shapes allowing users to understand which data…

Databases · Computer Science 2024-05-22 Philipp Seifer , Daniel Hernández , Ralf Lämmel , Steffen Staab

Constraints are powerful declarative constructs that allow users to conveniently restrict variable values that potentially range over an infinite domain. In this paper, we propose a constraint path query language over property graphs, which…

Databases · Computer Science 2025-12-02 Heyang Li , Anthony Widjaja Lin , Domagoj Vrgoč

The resilience problem for a query and an input set or bag database is to compute the minimum number of facts to remove from the database to make the query false. In this paper, we study how to compute the resilience of Regular Path Queries…

Databases · Computer Science 2025-12-08 Antoine Amarilli , Wolfgang Gatterbauer , Neha Makhija , Mikaël Monet , Martín Muñoz

A path query extracts vertex tuples from a labeled graph, based on the words that are formed by the paths connecting the vertices. We study the computational complexity of measuring the contribution of edges and vertices to an answer to a…

Databases · Computer Science 2022-12-16 Majd Khalil , Benny Kimelfeld

In this paper, we consider first-order logic over unary functions and study the complexity of the evaluation problem for conjunctive queries described by such kind of formulas. A natural notion of query acyclicity for this language is…

Logic in Computer Science · Computer Science 2007-05-23 Arnaud Durand , Etienne Grandjean

We study the boundedness problem for unions of conjunctive regular path queries with inverses (UC2RPQs). This is the problem of, given a UC2RPQ, checking whether it is equivalent to a union of conjunctive queries (UCQ). We show the problem…

Databases · Computer Science 2019-04-02 Pablo Barceló , Diego Figueira , Miguel Romero

Evaluation of regular path queries (RPQs) is a central problem in graph databases. We investigate the corresponding enumeration problem, that is, given a graph and an RPQ, enumerate all paths in the graph that match the RPQ. We consider…

Databases · Computer Science 2017-10-09 Wim Martens , Tina Trautner

We consider the task of estimating a high-dimensional directed acyclic graph, given observations from a linear structural equation model with arbitrary noise distribution. By exploiting properties of common random graphs, we develop a new…

Machine Learning · Statistics 2019-12-30 Arjun Sondhi , Ali Shojaie

The purpose of this report is to explain how the textbook breadth-first search algorithm (BFS) can be modified in order to also create a compact representation of all shortest paths connecting a single source node to all the nodes reachable…

Databases · Computer Science 2023-02-03 Domagoj Vrgoč

Regular path queries (RPQs) are an essential component of graph query languages. Such queries consider a regular expression r and a directed edge-labeled graph G and search for paths in G for which the sequence of labels is in the language…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Wim Martens , Matthias Niewerth , Tina Popp

In recent years it has become popular to study dynamic problems in a sensitivity setting: Instead of allowing for an arbitrary sequence of updates, the sensitivity model only allows to apply batch updates of small size to the original input…

Data Structures and Algorithms · Computer Science 2017-03-07 Monika Henzinger , Andrea Lincoln , Stefan Neumann , Virginia Vassilevska Williams

In this paper, we study the complexity of answering conjunctive queries (CQ) with inequalities). In particular, we are interested in comparing the complexity of the query with and without inequalities. The main contribution of our work is a…

Databases · Computer Science 2014-12-15 Paraschos Koutris , Tova Milo , Sudeepa Roy , Dan Suciu

In the Minimum Clique Routing Problem on Cycles \textsc{MCRPC} we are given a cycle together with a set of demands (weighted origin-destination pairs) and the goal is to route all the pairs minimizing the maximum weighted clique of the…

Data Structures and Algorithms · Computer Science 2023-11-17 Mariana Escalante , Martín Matamala , Iván Rapaport , Paola Tolomei , Luis Miguel Torres

Range minimum queries are frequently used in string processing and database applications including biological sequence analysis, document retrieval, and web search. Hence, various data structures have been proposed for improving their…

Databases · Computer Science 2026-04-03 Lara Kreis , Justus Henneberg , Valentin Henkys , Felix Schuhknecht , Bertil Schmidt

Recurrence quantification analysis (RQA) is a widely used tool for studying complex dynamical systems, but its standard implementation requires computationally expensive calculations of recurrence plots (RPs) and line length histograms.…

Chaotic Dynamics · Physics 2026-01-06 Norbert Marwan

Two-way regular path queries (2RPQs) have received increased attention recently due to their ability to relate pairs of objects by flexibly navigating graph-structured data. They are present in property paths in SPARQL 1.1, the new standard…

Logic in Computer Science · Computer Science 2014-03-05 Meghyn Bienvenu , Diego Calvanese , Magdalena Ortiz , Mantas Simkus