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Pregel's vertex-centric model allows us to implement many interesting graph algorithms, where optimization plays an important role in making it practically useful. Although many optimizations have been developed for dealing with different…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Yongzhe Zhang , Zhenjiang Hu

We study finite-sum nonlinear programs with localized variable coupling encoded by a (hyper)graph. We introduce a graph-compliant decomposition framework that brings message passing into continuous optimization in a rigorous, implementable,…

Optimization and Control · Mathematics 2026-01-19 Kuangyu Ding , Marie Maros , Gesualdo Scutari

This work presents a classification of weak models of distributed computing. We focus on deterministic distributed algorithms, and study models of computing that are weaker versions of the widely-studied port-numbering model. In the…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-24 Lauri Hella , Matti Järvisalo , Antti Kuusisto , Juhana Laurinharju , Tuomo Lempiäinen , Kerkko Luosto , Jukka Suomela , Jonni Virtema

We present a message-passing algorithm to solve the edge disjoint path problem (EDP) on graphs incorporating under a unique framework both traffic optimization and path length minimization. The min-sum equations for this problem present an…

Disordered Systems and Neural Networks · Physics 2016-01-21 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Caterina De Bacco , Silvio Franz

A common way of partitioning graphs is through minimum cuts. One drawback of classical minimum cut methods is that they tend to produce small groups, which is why more balanced variants such as normalized and ratio cuts have seen more…

Machine Learning · Computer Science 2024-10-07 Chakib Fettal , Lazhar Labiod , Mohamed Nadif

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard

Graph partitioning has long been seen as a viable approach to address Graph DBMS scalability. A partitioning, however, may introduce extra query processing latency unless it is sensitive to a specific query workload, and optimised to…

Databases · Computer Science 2016-06-24 Hugo Firth , Paolo Missier

The graph partitioning problem has many applications in scientific computing such as computer aided design, data mining, image compression and other applications with sparse-matrix vector multiplications as a kernel operation. In many cases…

Data Structures and Algorithms · Computer Science 2016-01-08 Foad Lotfifar , Matthew Johnson

Many applications produce massive complex networks whose analysis would benefit from parallel processing. Parallel algorithms, in turn, often require a suitable network partition. For solving optimization tasks such as graph partitioning on…

Data Structures and Algorithms · Computer Science 2014-02-14 Roland Glantz , Henning Meyerhenke , Christian Schulz

We study the balanced $k$-way hypergraph partitioning problem, with a special focus on its practical applications to manycore scheduling. Given a hypergraph on $n$ nodes, our goal is to partition the node set into $k$ parts of size at most…

Computational Complexity · Computer Science 2023-04-06 Pál András Papp , Georg Anegg , A. N. Yzelman

Effectively preserving both the structural and dynamical properties during the reduction of complex networks remains a significant research topic. Existing network reduction methods based on renormalization group or sampling often face…

Social and Information Networks · Computer Science 2025-07-15 Dan Chen , Housheng Su , Yong Wang , Jie Liu

The in-memory graph layout or organization has a considerable impact on the time and energy efficiency of distributed memory graph computations. It affects memory locality, inter-task load balance, communication time, and overall memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-04 George M Slota , Sivasankaran Rajamanickam , Kamesh Madduri

In this paper, we introduce a novel star partitioning problem for simple connected graphs $G=(V,E)$. The goal is to find a partition of the edges into stars that minimizes the maximum number of stars a node is contained in while…

Combinatorics · Mathematics 2024-08-15 Sarah Feldmann , Torben Schürenberg

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 2019-04-12 He Sun , Luca Zanetti

Acceleration of graph applications on GPUs has found large interest due to the ubiquitous use of graph processing in various domains. The inherent \textit{irregularity} in graph applications leads to several challenges for parallelization.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-02 Ananya Raval , Rupesh Nasre , Vivek Kumar , Vasudevan R , Sathish Vadhiyar , Keshav Pingali

Graph embedding techniques allow to learn high-quality feature vectors from graph structures and are useful in a variety of tasks, from node classification to clustering. Existing approaches have only focused on learning feature vectors for…

Artificial Intelligence · Computer Science 2019-05-29 Valeria Fionda , Giuseppe Pirró

In this paper, a new graph partitioning problem is introduced. The depth of each part is constrained, i.e., the node count in the longest path of the corresponding sub-graph is no more than a predetermined positive integer value p. An…

Emerging Technologies · Computer Science 2018-10-02 Ghasem Pasandi , Massoud Pedram

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation when processing graphs on a parallel computer. When a topology of a distributed system is known an important task…

Data Structures and Algorithms · Computer Science 2020-01-23 Marcelo Fonseca Faraj , Alexander van der Grinten , Henning Meyerhenke , Jesper Larsson Träff , Christian Schulz

We give lower bounds on the communication complexity of graph problems in the multi-party blackboard model. In this model, the edges of an $n$-vertex input graph are partitioned among $k$ parties, who communicate solely by writing messages…

Data Structures and Algorithms · Computer Science 2021-03-15 Christian Konrad , Peter Robinson , Viktor Zamaraev

Recently, graph neural networks (GNNs) have gained much attention as a growing area of deep learning capable of learning on graph-structured data. However, the computational and memory requirements for training GNNs on large-scale graphs…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Nikolai Merkel , Daniel Stoll , Ruben Mayer , Hans-Arno Jacobsen
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