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How can we analyze enormous networks including the Web and social networks which have hundreds of billions of nodes and edges? Network analyses have been conducted by various graph mining methods including shortest path computation,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-27 Chiwan Park , Ha-Myung Park , Minji Yoon , U Kang

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

Data Structures and Algorithms · Computer Science 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

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

The branching algorithm is a fundamental technique for designing fast exponential-time algorithms to solve combinatorial optimization problems exactly. It divides the entire solution space into independent search branches using…

Optimization and Control · Mathematics 2024-12-11 Xuan-Zhao Gao , Yi-Jia Wang , Pan Zhang , Jin-Guo Liu

From natural language processing to genome sequencing, large-scale machine learning models are bringing advances to a broad range of fields. Many of these models are too large to be trained on a single machine, and instead must be…

Machine Learning · Computer Science 2023-02-01 Christopher W. F. Parsonson , Zacharaya Shabka , Alessandro Ottino , Georgios Zervas

Identifying the sets of operations that can be executed simultaneously is an important problem appearing in many parallel applications. By modeling the operations and their interactions as a graph, one can identify the independent…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-28 Ahmet Erdem Sarıyüce , Erik Saule , Ümit V. Çatalyürek

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

Finding the Eulerian circuit in graphs is a classic problem, but inadequately explored for parallel computation. With such cycles finding use in neuroscience and Internet of Things for large graphs, designing a distributed algorithm for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-16 Siddharth D Jaiswal , Yogesh Simmhan

Due to the irregular nature of connections in most graph datasets, partitioning graph analysis algorithms across multiple computational nodes that do not share a common memory inevitably leads to large amounts of interconnect traffic.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Nina Engelhardt , Hayden K. -H. So

Process mapping asks to assign vertices of a task graph to processing elements of a supercomputer such that the computational workload is balanced while the communication cost is minimized. Motivated by the recent success of GPU-based graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 Petr Samoldekin , Christian Schulz , Henning Woydt

The benefits of a recently proposed method to approximate hard optimization problems are demonstrated on the graph partitioning problem. The performance of this new method, called Extremal Optimization, is compared to Simulated Annealing in…

Statistical Mechanics · Physics 2009-10-31 S. Boettcher

We survey recent trends in practical algorithms for balanced graph partitioning together with applications and future research directions.

Data Structures and Algorithms · Computer Science 2015-02-04 Aydin Buluc , Henning Meyerhenke , Ilya Safro , Peter Sanders , Christian Schulz

Computing high quality node separators in large graphs is necessary for a variety of applications, ranging from divide-and-conquer algorithms to VLSI design. In this work, we present a novel distributed evolutionary algorithm tackling the…

Neural and Evolutionary Computing · Computer Science 2017-02-07 Peter Sanders , Christian Schulz , Darren Strash , Robert Williger

We investigate the problem of compiling the generation of graph states to arbitrarily many distributed homogeneous quantum processing units (QPUs), providing a scalable partitioning algorithm and graph state generation protocol to minimize…

In recent years, significant advances have been made in the design and evaluation of balanced (hyper)graph partitioning algorithms. We survey trends of the last decade in practical algorithms for balanced (hyper)graph partitioning together…

Graph embedding maps graph nodes to low-dimensional vectors, and is widely adopted in machine learning tasks. The increasing availability of billion-edge graphs underscores the importance of learning efficient and effective embeddings on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-27 Peng Fang , Arijit Khan , Siqiang Luo , Fang Wang , Dan Feng , Zhenli Li , Wei Yin , Yuchao Cao

Graph planning gives rise to fundamental algorithmic questions such as shortest path, traveling salesman problem, etc. A classical problem in discrete planning is to consider a weighted graph and construct a path that maximizes the sum of…

Artificial Intelligence · Computer Science 2018-02-13 Krishnendu Chatterjee , Laurent Doyen

We consider the Max-$3$-Section problem, where we are given an undirected graph $ G=(V,E)$ equipped with non-negative edge weights $w :E\rightarrow \mathbb{R}_+$ and the goal is to find a partition of $V$ into three equisized parts while…

Data Structures and Algorithms · Computer Science 2023-08-08 Dor Katzelnick , Aditya Pillai , Roy Schwartz , Mohit Singh

Distributed quantum computing is motivated by the difficulty in building large-scale, individual quantum computers. To solve that problem, a large quantum circuit is partitioned and distributed to small quantum computers for execution.…

Quantum Physics · Physics 2023-10-09 Marc Grau Davis , Joaquin Chung , Dirk Englund , Rajkumar Kettimuthu

In recent years, Graph Convolutional Networks (GCNs) have achieved great success in learning from graph-structured data. With the growing tendency of graph nodes and edges, GCN training by single processor cannot meet the demand for time…

Machine Learning · Computer Science 2021-10-08 Taige Zhao , Xiangyu Song , Jianxin Li , Wei Luo , Imran Razzak