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(Hyper)Graph decomposition is a family of problems that aim to break down large (hyper)graphs into smaller sub(hyper)graphs for easier analysis. The importance of this lies in its ability to enable efficient computation on large and complex…

Data Structures and Algorithms · Computer Science 2023-08-31 Marcelo Fonseca Faraj

Subgraph detection has recently been one of the most studied problems in the CONGEST model of distributed computing. In this work, we study the distributed complexity of problems closely related to subgraph detection, mainly focusing on…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-08 Janne H. Korhonen , Amir Nikabadi

With the emergence of graph databases, the task of frequent subgraph discovery has been extensively addressed. Although the proposed approaches in the literature have made this task feasible, the number of discovered frequent subgraphs is…

Databases · Computer Science 2013-08-16 Wajdi Dhifli , Mohamed Moussaoui , Rabie Saidi , Engelbert Mephu Nguifo

Subgraph listing is a fundamental problem in graph theory and has wide applications in areas like sociology, chemistry, and social networks. Modern graphs can usually be large-scale as well as highly dynamic, which challenges the efficiency…

Databases · Computer Science 2020-09-01 Xun Jian , Yue Wang , Xiayu Lei , Yanyan Shen , Lei Chen

Machine Learning (ML) techniques are indispensable in a wide range of fields. Unfortunately, the exponential increase of dataset sizes are rapidly extending the runtime of sequential algorithms and threatening to slow future progress in ML.…

Machine Learning · Computer Science 2011-07-06 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin

Computing has passed through many transformations since the birth of the first computing machines. Developments in technology have resulted in the availability of fast and inexpensive processors, and progresses in communication technology…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-24 Sabu M. Thampi

A novel approach to complex problems has been previously applied to graph classification and the graph equivalence problem. Here we consider its applications to a wide set of NP complete problems, namely, those of finding a subgraph g…

Disordered Systems and Neural Networks · Physics 2007-05-23 Shmuel Nussinov , Zohar Nussinov

In this survey paper, we present open problems and conjectures on visibility graphs of points, segments and polygons along with necessary backgrounds for understanding them.

Computational Geometry · Computer Science 2015-03-17 Subir Kumar Ghosh , Partha Pratim Goswami

A central problem in graph mining is finding dense subgraphs, with several applications in different fields, a notable example being identifying communities. While a lot of effort has been put on the problem of finding a single dense…

Data Structures and Algorithms · Computer Science 2019-01-31 Riccardo Dondi , Mohammad Mehdi Hosseinzadeh , Giancarlo Mauri , Italo Zoppis

There have been rapid developments in model-based clustering of graphs, also known as block modelling, over the last ten years or so. We review different approaches and extensions proposed for different aspects in this area, such as the…

Machine Learning · Statistics 2020-01-01 Clement Lee , Darren J Wilkinson

The demand for artificial intelligence has grown significantly over the last decade and this growth has been fueled by advances in machine learning techniques and the ability to leverage hardware acceleration. However, in order to increase…

Machine Learning · Computer Science 2022-11-28 Joost Verbraeken , Matthijs Wolting , Jonathan Katzy , Jeroen Kloppenburg , Tim Verbelen , Jan S. Rellermeyer

We present a new algorithmic paradigm for the decentralized solution of graph-structured optimization problems that arise in the estimation and control of network systems. A key and novel design concept of the proposed approach is that it…

Optimization and Control · Mathematics 2020-04-01 Sungho Shin , Victor M. Zavala , Mihai Anitescu

The growing popularity of dynamic applications such as social networks provides a promising way to detect valuable information in real time. Efficient analysis over high-speed data from dynamic applications is of great significance. Data…

Databases · Computer Science 2018-09-05 Youhuan Li , Lei Zou , M. Tamer Ozsu , Dongyan Zhao

This chapter aims to provide next-level understanding of the problems of the world and the solutions available to those problems, which lie very well within the domain of neural computing, and at the same time are intelligent in their…

Neural and Evolutionary Computing · Computer Science 2021-07-07 Ayushe Gangal , Peeyush Kumar , Sunita Kumari , Aditya Kumar

Graph Neural Networks (GNNs) are an emerging research field. This specialized Deep Neural Network (DNN) architecture is capable of processing graph structured data and bridges the gap between graph processing and Deep Learning (DL). As…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-24 Jana Vatter , Ruben Mayer , Hans-Arno Jacobsen

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2017-11-06 He Sun , Luca Zanetti

Continual learning on graph data has recently attracted paramount attention for its aim to resolve the catastrophic forgetting problem on existing tasks while adapting the sequentially updated model to newly emerged graph tasks. While there…

Machine Learning · Computer Science 2024-02-20 Xikun Zhang , Dongjin Song , Dacheng Tao

Leveraging hypergraph structures to model advanced processes has gained much attention over the last few years in many areas, ranging from protein-interaction in computational biology to image retrieval using machine learning. Hypergraph…

Human-Computer Interaction · Computer Science 2021-12-07 Maximilian T. Fischer , Alexander Frings , Daniel A. Keim , Daniel Seebacher

Graph coloring is fundamental to distributed computing. We give the first sub-logarithmic distributed algorithm for coloring cluster graphs. These graphs are obtained from the underlying communication network by contracting nodes and edges,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-17 Maxime Flin , Magnus M. Halldorsson , Alexandre Nolin

The Subgraph Isomorphism problem asks, given a host graph G on n vertices and a pattern graph P on k vertices, whether G contains a subgraph isomorphic to P. The restriction of this problem to planar graphs has often been considered. After…

Discrete Mathematics · Computer Science 2015-03-19 Paul Bonsma