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Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation in processing graphs. Recently, size, variety, and structural complexity of these networks has grown dramatically.…

Data Structures and Algorithms · Computer Science 2018-10-16 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

The Restricted Shortest Path (RSP) problem, also known as the Delay-Constrained Least-Cost (DCLC) problem, is an NP-hard bicriteria optimization problem on graphs with $n$ vertices and $m$ edges. In a graph where each edge is assigned a…

Data Structures and Algorithms · Computer Science 2019-11-05 David Holzmüller

In this paper, we propose a paradigm for processing in parallel graph joins in road networks. The methodology we present can be used for distance join processing among the elements of two disjoint sets R,S of nodes from the road network,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-27 George Tsatsanifos

Sequential decision problems in applications such as manipulation in warehouses, multi-step meal preparation, and routing in autonomous vehicle networks often involve reasoning about uncertainty, planning over discrete modes as well as…

Artificial Intelligence · Computer Science 2019-06-24 Shushman Choudhury , Mykel J. Kochenderfer

The Shortest-Path Problem in Graph of Convex Sets (SPP in GCS) is a recently developed optimization framework that blends discrete and continuous decision making. Many relevant problems in robotics, such as collision-free motion planning,…

Shortest path computation is one of the most fundamental operations for managing and analyzing large social networks. Though existing techniques are quite effective for finding the shortest path on large but sparse road networks, social…

Social and Information Networks · Computer Science 2013-05-03 Ruoming Jin , Ning Ruan , Bo You , Haixun Wang

The traditional complex network approach considers only the shortest paths from one node to another, not taking into account several other possible paths. This limitation is significant, for example, in urban mobility studies. In this short…

Discrete Mathematics · Computer Science 2022-10-10 Leonardo B. L. Santos , Luiz Max Carvalho , Giovanni G. Soares , Leonardo N. Ferreira , Igor M. Sokolov

Time-evolving large graph has received attention due to their participation in real-world applications such as social networks and PageRank calculation. It is necessary to partition a large-scale dynamic graph in a streaming manner to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-01 Md Anwarul Kaium Patwary , Saurabh Garg , Sudheer Kumar Battula , Byeong Kang

We develop an efficient parallel algorithm for answering shortest-path queries in planar graphs and implement it on a multi-node CPU/GPU clusters. The algorithm uses a divide-and-conquer approach for decomposing the input graph into small…

Data Structures and Algorithms · Computer Science 2015-03-26 Guillaume Chapuis , Hristo Djidjev

Indexing moving objects has been extensively studied in the past decades. Moving objects, such as vehicles and mobile device users, usually exhibit some patterns on their velocities, which can be utilized for velocity-based partitioning to…

Databases · Computer Science 2015-04-23 Xiaofeng Xu , Li Xiong , Vaidy Sunderam , Jinfei Liu , Jun Luo

Efficient load-balancing mechanisms are critical for maximizing performance and increasing the quality of service (QoS) of data center networks (DCNs). Obtaining the optimal QoS while minimizing resource consumption remains a significant…

Networking and Internet Architecture · Computer Science 2026-01-15 Aymen Hasan Alawadi

To minimize data movement, state-of-the-art parallel sorting algorithms use techniques based on sampling and histogramming to partition keys prior to redistribution. Sampling enables partitioning to be done using a representative subset of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Vipul Harsh , Laxmikant Kale , Edgar Solomonik

In the last decade, there has been a substantial amount of research in finding routing algorithms designed specifically to run on real-world graphs. In 2010, Abraham et al. showed upper bounds on the query time in terms of a graph's highway…

Data Structures and Algorithms · Computer Science 2015-09-08 Colin White

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

Shortest path search is a core operation in graph-based applications, yet existing methods face important limitations. Classical algorithms such as Dijkstra's and A* become inefficient as graphs grow more complex, while index-based…

Machine Learning · Computer Science 2025-08-05 Tiantian Liu , Xiao Li , Huan Li , Hua Lu , Christian S. Jensen , Jianliang Xu

As techniques for graph query processing mature, the need for optimization is increasingly becoming an imperative. Indices are one of the key ingredients toward efficient query processing strategies via cost-based optimization. Due to the…

Databases · Computer Science 2013-11-11 Belma Yelbay , S. Ilker Birbil , Kerem Bulbul , Hasan M. Jamil

Computing high-quality graph partitions is a challenging problem with numerous applications. In this paper, we present a novel meta-heuristic for the balanced graph partitioning problem. Our approach is based on integer linear programs that…

Data Structures and Algorithms · Computer Science 2018-02-21 Alexandra Henzinger , Alexander Noe , Christian Schulz

This paper introduces a novel algorithm combination designed for fast one-to-many multicriteria shortest path search. A preprocessing algorithm excludes irrelevant vertices by building a smaller cover graph. A modified version of…

Data Structures and Algorithms · Computer Science 2022-02-01 Temirlan Kurbanov , Marek Cuchý , Jiří Vokřínek

Computing the shortest path between two given locations in a road network is an important problem that finds applications in various map services and commercial navigation products. The state-of-the-art solutions for the problem can be…

Databases · Computer Science 2012-02-01 Lingkun Wu , Xiaokui Xiao , Dingxiong Deng , Gao Cong , Andy Diwen Zhu , Shuigeng Zhou

Fastest-path queries between two points in a very large road map is an increasingly important primitive in modern transportation and navigation systems, thus very efficient computation of these paths is critical for system performance and…

Data Structures and Algorithms · Computer Science 2020-09-09 Renjie Chen , Craig Gotsman