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This paper builds on the connection between graph neural networks and traditional dynamical systems. We propose continuous graph neural networks (CGNN), which generalise existing graph neural networks with discrete dynamics in that they can…

Machine Learning · Computer Science 2020-07-17 Louis-Pascal A. C. Xhonneux , Meng Qu , Jian Tang

We explore the use of graph neural networks (GNNs) to model spatial processes in which there is no a priori graphical structure. Similar to finite element analysis, we assign nodes of a GNN to spatial locations and use a computational…

Machine Learning · Computer Science 2019-11-19 Ferran Alet , Adarsh K. Jeewajee , Maria Bauza , Alberto Rodriguez , Tomas Lozano-Perez , Leslie Pack Kaelbling

Streamlines have been widely used to represent and analyze various steady vector fields. To sufficiently represent important features in complex vector fields (like flow), a large number of streamlines are required. Due to the lack of a…

Computational Geometry · Computer Science 2026-04-17 Nguyen Phan , Brian Kim , Adeel Zafar , Guoning Chen

During the past decades significant efforts have been made to propose data structures for answering connectivity queries on fully dynamic graphs, i.e., graphs with frequent insertions and deletions of edges. However, a comprehensive…

Databases · Computer Science 2025-01-13 Qing Chen , Michael H. Böhlen , Sven Helmer

In the last decade it became apparent that a large number of the most interesting structures and phenomena of the world can be described by networks: separable elements, with connections (or interactions) between certain pairs of them.…

Combinatorics · Mathematics 2009-02-03 Laszlo Lovasz

Recent advances in dynamic graph processing have enabled the analysis of highly dynamic graphs with change at rates as high as millions of edge changes per second. Solutions in this domain, however, have been demonstrated only for…

Data Structures and Algorithms · Computer Science 2023-11-14 Juntong Luo , Scott Sallinen , Matei Ripeanu

Graph Neural Networks have gained huge interest in the past few years. These powerful algorithms expanded deep learning models to non-Euclidean space and were able to achieve state of art performance in various applications including…

Machine Learning · Computer Science 2023-02-14 Zahraa Al Sahili , Mariette Awad

Computing subgraph frequencies is a fundamental task that lies at the core of several network analysis methodologies, such as network motifs and graphlet-based metrics, which have been widely used to categorize and compare networks from…

Data Structures and Algorithms · Computer Science 2021-12-30 Pedro Ribeiro , Pedro Paredes , Miguel E. P. Silva , David Aparicio , Fernando Silva

Network flows over time are a fascinating generalization of classical (static) network flows, introducing an element of time. They naturally model problems where travel and transmission are not instantaneous and flow may vary over time. Not…

Discrete Mathematics · Computer Science 2023-12-11 Martin Skutella

Recently, graphs have been widely used to represent many different kinds of real world data or observations such as social networks, protein-protein networks, road networks, and so on. In many cases, each node in a graph is associated with…

Social and Information Networks · Computer Science 2016-09-28 Jihwan Lee , Keehwan Park , Sunil Prabhakar

A challenging problem in complex networks is the network reconstruction problem from data. This work deals with a class of networks denoted as conserved networks, in which a flow associated with every edge and the flows are conserved at all…

Machine Learning · Computer Science 2020-04-14 Satya Jayadev P. , Shankar Narasimhan , Nirav Bhatt

Feature extraction is an essential task in graph analytics. These feature vectors, called graph descriptors, are used in downstream vector-space-based graph analysis models. This idea has proved fruitful in the past, with spectral-based…

Machine Learning · Computer Science 2023-04-11 Zohair Raza Hassan , Sarwan Ali , Imdadullah Khan , Mudassir Shabbir , Waseem Abbas

Data streams (streaming data) consist of transiently observed, evolving in time, multidimensional data sequences that challenge our computational and/or inferential capabilities. In this paper we propose user friendly approaches for robust…

Applications · Statistics 2015-01-20 Daniel Kosiorowski

In this paper we study the problem of maintaining the strongly connected components of a graph in the presence of failures. In particular, we show that given a directed graph $G=(V,E)$ with $n=|V|$ and $m=|E|$, and an integer value $k\geq…

Data Structures and Algorithms · Computer Science 2017-04-25 Surender Baswana , Keerti Choudhary , Liam Roditty

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

Over the past few years, research on deep graph learning has shifted from static graphs to temporal graphs in response to real-world complex systems that exhibit dynamic behaviors. In practice, temporal graphs are formalized as an ordered…

Machine Learning · Computer Science 2024-10-30 Jintang Li , Ruofan Wu , Xinzhou Jin , Boqun Ma , Liang Chen , Zibin Zheng

This work introduces a novel algorithm for finding the connected components of a graph where the vertices and edges are grouped into sets defining a Set--Based Graph. The algorithm, under certain restrictions on those sets, has the…

Data Structures and Algorithms · Computer Science 2020-11-30 Ernesto Kofman , Denise Marzorati , Joaquín Fernández

Graph is an important data representation which appears in a wide diversity of real-world scenarios. Effective graph analytics provides users a deeper understanding of what is behind the data, and thus can benefit a lot of useful…

Artificial Intelligence · Computer Science 2018-02-05 Hongyun Cai , Vincent W. Zheng , Kevin Chen-Chuan Chang

Motivated by the properties of unending real-world cybersecurity streams, we present a new graph streaming model: XStream. We maintain a streaming graph and its connected components at single-edge granularity. In cybersecurity graph…

Data Structures and Algorithms · Computer Science 2021-12-02 Jonathan W. Berry , Cynthia A Phillips , Alexandra M. Porter

Time-discrete dynamical systems on a finite state space have been used with great success to model natural and engineered systems such as biological networks, social networks, and engineered control systems. They have the advantage of being…

Combinatorics · Mathematics 2015-03-17 Alan Veliz-Cuba , Reinhard Laubenbacher