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We study a graph partitioning problem motivated by the simulation of the physical movement of multi-body systems on an atomistic level, where the forces are calculated from a quantum mechanical description of the electrons. Several advanced…

Partitioning a graph into blocks of "roughly equal" weight while cutting only few edges is a fundamental problem in computer science with a wide range of applications. In particular, the problem is a building block in applications that…

Data Structures and Algorithms · Computer Science 2021-05-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Christian Schulz , Daniel Seemaier

In this work, we explore graph partitioning (GP) using quantum annealing on the D-Wave 2X machine. Motivated by a recently proposed graph-based electronic structure theory applied to quantum molecular dynamics (QMD) simulations, graph…

Quantum Physics · Physics 2017-05-10 Hayato Ushijima-Mwesigwa , Christian F. A. Negre , Susan M. Mniszewski

Graph partitioning is a key fundamental problem in the area of big graph computation. Previous works do not consider the practical requirements when optimizing the big data analysis in real applications. In this paper, motivated by…

Databases · Computer Science 2024-04-10 Baoling Ning , Jianzhong Li

We consider a refinement of the partition function of graph homomorphisms and present a quasi-polynomial algorithm to compute it in a certain domain. As a corollary, we obtain quasi-polynomial algorithms for computing partition functions…

Combinatorics · Mathematics 2015-08-04 Alexander Barvinok , Pablo Soberón

An important objective for analyzing real-world graphs is to achieve scalable performance on large, streaming graphs. A challenging and relevant example is the graph partition problem. As a combinatorial problem, graph partition is NP-hard,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-10 Edward Kao , Vijay Gadepally , Michael Hurley , Michael Jones , Jeremy Kepner , Sanjeev Mohindra , Paul Monticciolo , Albert Reuther , Siddharth Samsi , William Song , Diane Staheli , Steven Smith

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

Data Structures and Algorithms · Computer Science 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Distributed computing excels at processing large scale data, but the communication cost for synchronizing the shared parameters may slow down the overall performance. Fortunately, the interactions between parameter and data in many problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-19 Mu Li , Dave G. Andersen , Alexander J. Smola

Analyzing large graph data is an essential part of many modern applications, such as social networks. Due to its large computational complexity, distributed processing is frequently employed. This requires graph data to be divided across…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-12 YoungJoon Park , DongKyu Lee , Tien-Cuong Bui

Early but promising results in quantum computing have been enabled by the concurrent development of quantum algorithms, devices, and materials. Classical simulation of quantum programs has enabled the design and analysis of algorithms and…

Quantum Physics · Physics 2022-05-17 Bo Fang , M. Yusuf Özkaya , Ang Li , Ümit V. Çatalyürek , Sriram Krishnamoorthy

Large-scale parallel numerical simulations are essential for a wide range of engineering problems that involve complex, coupled physical processes interacting across a broad range of spatial and temporal scales. The data structures involved…

Mathematical Software · Computer Science 2018-10-11 Fande Kong , Roy H. Stogner , Derek R. Gaston , John W. Peterson , Cody J. Permann , Andrew E. Slaughter , Richard C. Martineau

Graph partition is a fundamental problem of parallel computing for big graph data. Many graph partition algorithms have been proposed to solve the problem in various applications, such as matrix computations and PageRank, etc., but none has…

Social and Information Networks · Computer Science 2015-01-05 Xiaoming Liu , Yadong Zhou , Xiaohong Guan

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…

Machine Learning · Computer Science 2021-01-06 Haoyan Xu , Ziheng Duan , Jie Feng , Runjian Chen , Qianru Zhang , Zhongbin Xu , Yueyang Wang

Graph partitioning has many applications in powersystems from decentralized state estimation to parallel simulation. Focusing on parallel simulation, optimal grid partitioning minimizes the idle time caused by different simulation times for…

Systems and Control · Electrical Eng. & Systems 2025-07-14 Carsten Hartmann , Junjie Zhang , Carlos D. Gonzalez Calaza , Thiemo Pesch , Kristel Michielsen , Andrea Benigni

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation in processing graphs. Recently, size, variety, and structural complexity of these networks has grown dramatically.…

Data Structures and Algorithms · Computer Science 2018-10-16 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

In this paper, we explore the graph partitioning problem, a pivotal combina-torial optimization challenge with extensive applications in various fields such as science, technology, and business. Recognized as an NP-hard prob-lem, graph…

Machine Learning · Computer Science 2023-12-13 Vivek Chaudhary

The dynamic scaling of distributed computations plays an important role in the utilization of elastic computational resources, such as the cloud. It enables the provisioning and de-provisioning of resources to match dynamic resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-19 Masatoshi Hanai , Nikos Tziritas , Toyotaro Suzumura , Wentong Cai , Georgios Theodoropoulos

Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including…

Machine Learning · Computer Science 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

Electronic data is growing at increasing rates, in both size and connectivity: the increasing presence of, and interest in, relationships between data. An example is the Twitter social network graph. Due to this growth demand is increasing…

Databases · Computer Science 2013-01-23 Alex Averbuch , Martin Neumann

Statistical analysis of large and sparse graphs is a challenging problem in data science due to the high dimensionality and nonlinearity of the problem. This paper presents a fast and scalable algorithm for partitioning such graphs into…

Data Structures and Algorithms · Computer Science 2018-12-24 Hannu Reittu , Lasse Leskelä , Tomi Räty , Marco Fiorucci
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