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Related papers: Algebraic Property Graphs

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Foundation models have emerged as critical components in a variety of artificial intelligence applications, and showcase significant success in natural language processing and several other domains. Meanwhile, the field of graph machine…

Machine Learning · Computer Science 2025-03-11 Jiawei Liu , Cheng Yang , Zhiyuan Lu , Junze Chen , Yibo Li , Mengmei Zhang , Ting Bai , Yuan Fang , Lichao Sun , Philip S. Yu , Chuan Shi

Graph database systems are increasingly adapted for storing and processing heterogeneous network-like datasets. However, due to the novelty of such systems, no standard data model or query language has yet emerged. Consequently, migrating…

Databases · Computer Science 2017-09-25 József Marton , Gábor Szárnyas , Dániel Varró

Property graphs have reached a high level of maturity, witnessed by multiple robust graph database systems as well as the ongoing ISO standardization effort aiming at creating a new standard Graph Query Language (GQL). Yet, despite…

Recent work at the intersection of formal language theory and graph theory has explored graph grammars for graph modeling. However, existing models and formalisms can only operate on homogeneous (i.e., untyped or unattributed) graphs. We…

Social and Information Networks · Computer Science 2023-01-06 Satyaki Sikdar , Neil Shah , Tim Weninger

Modern database systems face a significant challenge in effectively handling the Variety of data. The primary objective of this paper is to establish a unified data model and theoretical framework for multi-model data management. To achieve…

Databases · Computer Science 2025-02-27 Jiaheng Lu

Regular path query languages for data graphs are essentially \emph{untyped}. The lack of type information greatly limits the optimization opportunities for query engines and makes application development more complex. In this paper we…

Databases · Computer Science 2015-07-08 Dario Colazzo , Carlo Sartiani

In this paper, we study a declarative framework for specifying transformations of property graphs. In order to express such transformations, we leverage queries formulated in the Graph Pattern Calculus (GPC), which is an abstraction of the…

Databases · Computer Science 2024-06-21 Angela Bonifati , Filip Murlak , Yann Ramusat

Graph simulation (using graph schemata or data guides) has been successfully proposed as a technique for adding structure to semistructured data. Design patterns for description (such as meta-classes and homomorphisms between schema…

Databases · Computer Science 2007-05-23 Christoph Koch

We introduce graph pattern-based association rules (GPARs) for directed labeled multigraphs such as RDF graphs. GPARs support both generative tasks, where a graph is extended, and evaluative tasks, where the plausibility of a graph is…

Databases · Computer Science 2025-12-18 Basil Ell

In this paper we introduce a novel family of attributed graphs for the purpose of shape discrimination. Our graphs typically arise from variations on the Mapper graph construction, which is an approximation of the Reeb graph for point cloud…

Algebraic Topology · Mathematics 2023-07-03 Justin Curry , Washington Mio , Tom Needham , Osman Berat Okutan , Florian Russold

Graph database users today face a choice between two technology stacks: the Resource Description Framework (RDF), on one side, is a data model with built-in semantics that was originally developed by the W3C to exchange interconnected data…

Databases · Computer Science 2023-04-27 Ewout Gelling , George Fletcher , Michael Schmidt

This paper deals with an extended model of computations which uses the parameterized families of entities for data objects and reflects a preliminary outline of this problem. Some topics are selected out, briefly analyzed and arranged to…

Logic in Computer Science · Computer Science 2007-05-23 Larissa Ismailova , Konstantin Zinchenko , Lioubouv Bourmistrova

Graph-based patterns are extensively employed and favored by practitioners within industrial companies due to their capacity to represent the behavioral attributes and topological relationships among users, thereby offering enhanced…

Machine Learning · Computer Science 2024-11-12 Sheng Tian , Xintan Zeng , Yifei Hu , Baokun Wang , Yongchao Liu , Yue Jin , Changhua Meng , Chuntao Hong , Tianyi Zhang , Weiqiang Wang

We develop a shape analysis for reasoning about relational properties of data structures. Both the concrete and the abstract domain are represented by hypergraphs. The analysis is parameterized by user-supplied indexed graph grammars to…

Programming Languages · Computer Science 2018-04-20 Hannah Arndt , Christina Jansen , Christoph Matheja , Thomas Noll

We propose a novel database model whose basic structure is a labeled, directed, acyclic graph with a single root, in which the nodes represent the data sets of an application and the edges represent functional relationships among the data…

Databases · Computer Science 2024-07-01 Nicolas Spyratos

Recursive graph queries are increasingly popular for extracting information from interconnected data found in various domains such as social networks, life sciences, and business analytics. Graph data often come with schema information that…

Databases · Computer Science 2025-02-13 Chandan Sharma , Pierre Genevès , Nils Gesbert , Nabil Layaïda

Enterprises are creating domain-specific knowledge graphs by curating and integrating their business data from multiple sources. The data in these knowledge graphs can be described using ontologies, which provide a semantic abstraction to…

Databases · Computer Science 2020-10-06 Chuan Lei , Rana Alotaibi , Abdul Quamar , Vasilis Efthymiou , Fatma Özcan

This article deals with OLAP systems based on multidimensional model. The conceptual model we provide, represents data through a constellation (multi-facts) composed of several multi-hierarchy dimensions. In this model, data are displayed…

Databases · Computer Science 2010-05-20 Franck Ravat , Olivier Teste , Gilles Zurfluh

We study the data transformation capabilities associated with schemas that are presented by directed multi-graphs and path equations. Unlike most approaches which treat graph-based schemas as abbreviations for relational schemas, we treat…

Databases · Computer Science 2015-07-28 David I. Spivak , Ryan Wisnesky

Categories and categorical structures are increasingly recognized as useful abstractions for modeling in science and engineering. To uniformly implement category-theoretic mathematical models in software, we introduce GATlab, a…

Logic in Computer Science · Computer Science 2024-12-18 Owen Lynch , Kris Brown , James Fairbanks , Evan Patterson