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Graphs are widely used to model data in many application domains. Thanks to the wide spread use of GPS-enabled devices, many applications assign a spatial attribute to graph vertices (e.g., geo-tagged social media). Users may issue a…

Databases · Computer Science 2016-03-18 Yuhan Sun , Mohamed Sarwat

Reachability queries ask whether there exists a path from the source vertex to the target vertex on a graph. Recently, several powerful reachability queries, such as Label-Constrained Reachability (LCR) queries and Regular Path Queries…

Databases · Computer Science 2025-11-04 Huihui Yang , Pingpeng Yuan

Since knowledge graphs (KGs) describe and model the relationships between entities and concepts in the real world, reasoning on KGs often correspond to the reachability queries with label and substructure constraints (LSCR). Specially, for…

Databases · Computer Science 2020-07-24 Xiaolong Wan , Hongzhi Wang

One of the most fundamental problems in computer science is the reachability problem: Given a directed graph and two vertices s and t, can s reach t via a path? We revisit existing techniques and combine them with new approaches to support…

Data Structures and Algorithms · Computer Science 2021-02-02 Kathrin Hanauer , Christian Schulz , Jonathan Trummer

We develop the data structure PReaCH (for Pruned Reachability Contraction Hierarchies) which supports reachability queries in a directed graph, i.e., it supports queries that ask whether two nodes in the graph are connected by a directed…

Data Structures and Algorithms · Computer Science 2014-04-18 Florian Merz , Peter Sanders

In this paper, we propose a scalable and highly efficient index structure for the reachability problem over graphs. We build on the well-known node interval labeling scheme where the set of vertices reachable from a particular node is…

Databases · Computer Science 2012-12-03 Stephan Seufert , Avishek Anand , Srikanta Bedathur , Gerhard Weikum

We survey graph reachability indexing techniques for efficient processing of graph reachability queries in two types of popular graph models: plain graphs and edge-labeled graphs. Reachability queries are Boolean in nature, determining…

Databases · Computer Science 2025-07-01 Chao Zhang , Angela Bonifati , M. Tamer Özsu

With the ubiquity of large-scale graph data in a variety of application domains, querying them effectively is a challenge. In particular, reachability queries are becoming increasingly important, especially for containment, subsumption, and…

Databases · Computer Science 2013-01-08 Hilmi Yildirim , Vineet Chaoji , Mohammed J. Zaki

Reachability in hypergraphs is essential for modeling complex groupwise interactions in real-world applications such as co-authorship, social network, and biological analysis, where relationships go beyond pairwise interactions. In this…

Databases · Computer Science 2025-12-30 Peiting Xie , Xiangjun Zai , Yanping Wu , Xiaoyang Wang , Wenjie Zhang , Lu Qin

Inspired by the classical fractional cascading technique, we introduce new techniques to speed up the following type of iterated search in 3D: The input is a graph $\mathbf{G}$ with bounded degree together with a set $H_v$ of 3D hyperplanes…

Computational Geometry · Computer Science 2025-04-11 Peyman Afshani , Yakov Nekrich , Frank Staals

Several modern applications involve huge graphs and require fast answers to reachability queries. In more than two decades since first proposals, several approaches have been presented adopting on-line searches, hop labelling or transitive…

Data Structures and Algorithms · Computer Science 2016-11-09 Nicolas Boria , Gianpiero Cabodi , Paolo Camurati , Marco Palena , Paolo Pasini , Stefano Quer

Given a data graph G, a source vertex u and a target vertex v of a reachability query, the reachability query is used to answer whether there exists a path from u to v in G. Reachability query processing is one of the fundamental operations…

Databases · Computer Science 2024-10-08 Congquan Mei , Lian Chen , Junfeng Zhou , Ming Du , Sheng Yu , Xian Tang , Ziyang Chen

Majority of the existing graph neural networks (GNN) learn node embeddings that encode their local neighborhoods but not their positions. Consequently, two nodes that are vastly distant but located in similar local neighborhoods map to…

Social and Information Networks · Computer Science 2021-08-23 Sunil Nishad , Shubhangi Agarwal , Arnab Bhattacharya , Sayan Ranu

In the real world a graph is often fragmented and distributed across different sites. This highlights the need for evaluating queries on distributed graphs. This paper proposes distributed evaluation algorithms for three classes of queries:…

Databases · Computer Science 2012-08-02 Wenfei Fan , Xin Wang , Yinghui Wu

Hybrid queries combining high-dimensional vector similarity search with spatio-temporal filters are increasingly critical for modern retrieval-augmented generation (RAG) systems. Existing systems typically handle these workloads by nesting…

Databases · Computer Science 2026-05-01 Mingyu Yang , Wentao Li , Wei Wang

With the advent of reliable positioning technologies and prevalence of location-based services, it is now feasible to accurately study the propagation of items such as infectious viruses, sensitive information pieces, and malwares through a…

Databases · Computer Science 2012-05-31 Houtan Shirani-Mehr , Farnoush Banaei Kashani , Cyrus Shahabi

The prosperity of location-based social networking services enables geo-social group queries for group-based activity planning and marketing. This paper proposes a new family of geo-social group queries with minimum acquaintance constraint…

Databases · Computer Science 2017-07-12 Qijun Zhu , Haibo Hu , Cheng Xu , Jianliang Xu , Wang-Chien Lee

The inherent connectivity and dependency of graph-structured data, combined with its unique topology-driven access patterns, pose fundamental challenges to conventional data replication and request routing strategies in geo-distributed…

Databases · Computer Science 2025-10-22 Feng Yao , Xiaokang Yang , Shufeng Gong , Song Yu , Yanfeng Zhang , Ge Yu

Given a graph G and a query vertex q, the topic of community search (CS), aiming to retrieve a dense subgraph of G containing q, has gained much attention. Most existing works focus on undirected graphs which overlooks the rich information…

Databases · Computer Science 2023-11-20 Yankai Chen , Jie Zhang , Yixiang Fang , Xin Cao , Irwin King

In the GEODETIC SET problem, an input is a (di)graph $G$ and integer $k$, and the objective is to decide whether there exists a vertex subset $S$ of size $k$ such that any vertex in $V(G)\setminus S$ lies on a shortest (directed) path…

Data Structures and Algorithms · Computer Science 2026-05-14 Florent Foucaud , Narges Ghareghani , Lucas Lorieau , Morteza Mohammad-Noori , Rasa Parvini Oskuei , Prafullkumar Tale
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