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We propose a new exact method for shortest-path distance queries on large-scale networks. Our method precomputes distance labels for vertices by performing a breadth-first search from every vertex. Seemingly too obvious and too inefficient…

Data Structures and Algorithms · Computer Science 2013-04-18 Takuya Akiba , Yoichi Iwata , Yuichi Yoshida

Computing the shortest-path distance between any two given vertices in road networks is an important problem. A tremendous amount of research has been conducted to address this problem, most of which are limited to static road networks.…

Databases · Computer Science 2025-06-24 Muhammad Farhan , Henning Koehler , Qing Wang

Many real-world applications operate on dynamic graphs that undergo rapid changes in their topological structure over time. However, it is challenging to design dynamic algorithms that are capable of supporting such graph changes…

Databases · Computer Science 2022-04-26 Muhammad Farhan , Qing Wang , Henning Koehler

We study the problem of computing shortest path or distance between two query vertices in a graph, which has numerous important applications. Quite a number of indexes have been proposed to answer such distance queries. However, all of…

Databases · Computer Science 2012-11-13 Ada Wai-Chee Fu , Huanhuan Wu , James Cheng , Shumo Chu , Raymond Chi-Wing Wong

Finding the shortest path distance between an arbitrary pair of vertices is a fundamental problem in graph theory. A tremendous amount of research has been successfully attempted on this problem, most of which is limited to static graphs.…

Data Structures and Algorithms · Computer Science 2021-02-18 Muhammad Farhan , Qing Wang

Resistance distance computation is a fundamental problem in graph analysis, yet existing random walk-based methods are limited to approximate solutions and suffer from poor efficiency on small-treewidth graphs (e.g., road networks). In…

Databases · Computer Science 2025-09-08 Meihao Liao , Yueyang Pan , Rong-Hua Li , Guoren Wang

Answering the shortest-path distance between two arbitrary locations is a fundamental problem in road networks. Labelling-based solutions are the current state-of-the-arts to render fast response time, which can generally be categorised…

Data Structures and Algorithms · Computer Science 2023-11-21 Muhammad Farhan , Henning Koehler , Robert Ohms , Qing Wang

In the context of changing travel behaviors and the expanding user base of Geographic Information System (GIS) services, conventional centralized architectures responsible for handling shortest distance queries are facing increasing…

Databases · Computer Science 2024-03-19 Xiubo Zhang , Yujie He , Ye Li , Yan Li , Zijie Zhou , Dongyao Wei , Ryan

Computing shortest paths is a fundamental operation in processing graph data. In many real-world applications, discovering shortest paths between two vertices empowers us to make full use of the underlying structure to understand how…

Databases · Computer Science 2021-04-21 Ye Wang , Qing Wang , Henning Koehler , Yu Lin

Computing shortest distances is one of the fundamental problems on graphs, and remains a {\em challenging} task today. {\em Distance} {\em landmarks} have been recently studied for shortest distance queries with an auxiliary data structure,…

Databases · Computer Science 2014-01-14 Shuai Ma , Kaiyu Feng , Haixun Wang , Jianxin Li , Jinpeng Huai

We consider how to assign labels to any undirected graph with n nodes such that, given the labels of two nodes and no other information regarding the graph, it is possible to determine the distance between the two nodes. The challenge in…

Data Structures and Algorithms · Computer Science 2015-04-20 Stephen Alstrup , Cyril Gavoille , Esben Bistrup Halvorsen , Holger Petersen

A distance labeling scheme is an assignment of bit-labels to the vertices of an undirected, unweighted graph such that the distance between any pair of vertices can be decoded solely from their labels. We propose a series of new labeling…

Data Structures and Algorithms · Computer Science 2016-07-21 Paweł Gawrychowski , Adrian Kosowski , Przemysław Uznański

Modern route planners such as Google Maps and Apple Maps serve millions of users worldwide, optmizing routes in large-scale road networks where fast responses are required under diverse cost metrics including travel time, fuel consumption,…

Data Structures and Algorithms · Computer Science 2026-04-14 Muhammad Farhan , Henning Koehler

Edge-labeled graphs are widely used to describe relationships between entities in a database. Given a query subgraph that represents an example of what the user is searching for, we study the problem of efficiently searching for similar…

Databases · Computer Science 2020-05-12 Zhaoyang Shao , Davood Rafiei , Themis Palpanas

We study the problem of point-to-point distance querying for massive scale-free graphs, which is important for numerous applications. Given a directed or undirected graph, we propose to build an index for answering such queries based on a…

Databases · Computer Science 2014-05-05 Minhao Jiang , Ada Wai-Chee Fu , Raymond Chi-Wing Wong , Yanyan Xu

The shortest-path distance is a fundamental concept in graph analytics and has been extensively studied in the literature. In many real-world applications, quality constraints are naturally associated with edges in the graphs and finding…

Databases · Computer Science 2022-11-17 You Peng , Zhuo Ma , Wenjie Zhang , Xuemin Lin , Ying Zhang , Xiaoshuang Chen

Finding the shortest-path distance between two arbitrary vertices is an important problem in road networks. Due to real-time traffic conditions, road networks undergo dynamic changes all the time. Current state-of-the-art methods…

Data Structures and Algorithms · Computer Science 2025-01-30 Henning Koehler , Muhammad Farhan , Qing Wang

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

Hub Labeling (HL) is one of the state-of-the-art preprocessing-based techniques for route planning in road networks. It is a special incarnation of distance labeling, and it is well-studied in both theory and practice. The core concept of…

Data Structures and Algorithms · Computer Science 2022-08-19 Johannes Blum , Sabine Storandt

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson
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