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Graph Neural Networks (GNNs) have demonstrated remarkable performance in a wide range of tasks, such as node classification, link prediction, and graph classification, by exploiting the structural information in graph-structured data.…

机器学习 · 计算机科学 2026-01-09 Oscar Llorente , Jaime Boal , Eugenio F. Sánchez-Úbeda , Antonio Diaz-Cano , Miguel Familiar

In this work, we propose a novel approach for subgraph matching, the problem of finding a given query graph in a large source graph, based on the fused Gromov-Wasserstein distance. We formulate the subgraph matching problem as a partial…

信息论 · 计算机科学 2024-07-01 Wen-Xin Pan , Isabel Haasler , Pascal Frossard

We present an efficient distributed memory parallel algorithm for computing connected components in undirected graphs based on Shiloach-Vishkin's PRAM approach. We discuss multiple optimization techniques that reduce communication volume as…

分布式、并行与集群计算 · 计算机科学 2017-02-15 Chirag Jain , Patrick Flick , Tony Pan , Oded Green , Srinivas Aluru

A tuple (s1,t1,s2,t2) of vertices in a simple undirected graph is 2-linked when there are two vertex-disjoint paths respectively from s1 to t1 and s2 to t2. A graph is 2-linked when all such tuples are 2-linked. We give a new and simple…

数据结构与算法 · 计算机科学 2025-08-15 Samuel Humeau , Damien Pous

We study the Short Path Packing problem which asks, given a graph $G$, integers $k$ and $\ell$, and vertices $s$ and $t$, whether there exist $k$ pairwise internally vertex-disjoint $s$-$t$ paths of length at most $\ell$. The problem has…

数据结构与算法 · 计算机科学 2024-04-17 Michael Kiran Huber

Graph similarity computation aims to predict a similarity score between one pair of graphs to facilitate downstream applications, such as finding the most similar chemical compounds similar to a query compound or Fewshot 3D Action…

机器学习 · 计算机科学 2021-01-06 Haoyan Xu , Ziheng Duan , Jie Feng , Runjian Chen , Qianru Zhang , Zhongbin Xu , Yueyang Wang

Using the growing volumes of vehicle trajectory data, it becomes increasingly possible to capture time-varying and uncertain travel costs in a road network, including travel time and fuel consumption. The current paradigm represents a road…

数据库 · 计算机科学 2015-12-07 Jian Dai , Bin Yang , Chenjuan Guo , Christian S. Jensen

Motivated by the increasing availability of vehicle trajectory data, we propose learn-to-route, a comprehensive trajectory-based routing solution. Specifically, we first construct a graph-like structure from trajectories as the routing…

机器学习 · 计算机科学 2018-02-23 Chenjuan Guo , Bin Yang , Jilin Hu , Christian S. Jensen

Map matching is a common preprocessing step for analysing vehicle trajectories. In the theory community, the most popular approach for map matching is to compute a path on the road network that is the most spatially similar to the…

计算几何 · 计算机科学 2024-01-26 Joachim Gudmundsson , Martin P. Seybold , Sampson Wong

Graph-cuts are widely used in computer vision. In order to speed up the optimization process and improve the scalability for large graphs, Strandmark and Kahl introduced a splitting method to split a graph into multiple subgraphs for…

数据结构与算法 · 计算机科学 2016-11-03 Miao Yu , Shuhan Shen , Zhanyi Hu

Finding optimal matchings in dense graphs is of general interest and of particular importance in social, transportation and biological networks. While developing optimal solutions for various matching problems is important, the running…

数据结构与算法 · 计算机科学 2020-11-16 Nitish K. Panigrahy , Prithwish Basu , Don Towsley

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

分布式、并行与集群计算 · 计算机科学 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

Preferential attachment lies at the heart of many network models aiming to replicate features of real world networks. To simulate the attachment process, conduct statistical tests, or obtain input data for benchmarks, efficient algorithms…

数据结构与算法 · 计算机科学 2023-01-18 Daniel Allendorf , Ulrich Meyer , Manuel Penschuck , Hung Tran

Consider two networks on overlapping, non-identical vertex sets. Given vertices of interest in the first network, we seek to identify the corresponding vertices, if any exist, in the second network. While in moderately sized networks graph…

机器学习 · 统计学 2019-11-07 Heather G. Patsolic , Youngser Park , Vince Lyzinski , Carey E. Priebe

Detection of curvilinear structures in images has long been of interest. One of the most challenging aspects of this problem is inferring the graph representation of the curvilinear network. Most existing delineation approaches first…

计算机视觉与模式识别 · 计算机科学 2019-05-13 Agata Mosinska , Mateusz Kozinski , Pascal Fua

Identifying the connected components of a graph, apart from being a fundamental problem with countless applications, is a key primitive for many other algorithms. In this paper, we consider this problem in parallel settings. Particularly,…

数据结构与算法 · 计算机科学 2020-03-13 Soheil Behnezhad , Laxman Dhulipala , Hossein Esfandiari , Jakub Łącki , Vahab Mirrokni

Finding the k-medianin a network involves identifying a subset of k vertices that minimize the total distance to all other vertices in a graph. This problem has been extensively studied in computer science, graph theory, operations…

数据结构与算法 · 计算机科学 2023-12-14 Roldan Pozo

Stationarity is a key assumption in many statistical models for random processes. With recent developments in the field of graph signal processing, the conventional notion of wide-sense stationarity has been extended to random processes…

信号处理 · 电气工程与系统科学 2019-09-10 Arman Hasanzadeh , Xi Liu , Nick Duffield , Krishna R. Narayanan

Balanced partitioning is often a crucial first step in solving large-scale graph optimization problems, e.g., in some cases, a big graph can be chopped into pieces that fit on one machine to be processed independently before stitching the…

分布式、并行与集群计算 · 计算机科学 2015-12-10 Kevin Aydin , MohammadHossein Bateni , Vahab Mirrokni

The densest subgraph problem has received significant attention, both in theory and in practice, due to its applications in problems such as community detection, social network analysis, and spam detection. Due to the high cost of obtaining…

数据结构与算法 · 计算机科学 2023-11-09 Pattara Sukprasert , Quanquan C. Liu , Laxman Dhulipala , Julian Shun