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In this paper, we address the minimum-cost node-capacitated multiflow problem in an undirected network. For this problem, Babenko and Karzanov (2012) showed strongly polynomial-time solvability via the ellipsoid method. Our result is the…

Data Structures and Algorithms · Computer Science 2019-09-05 Hiroshi Hirai , Motoki Ikeda

Spatial networks are a powerful framework for studying a large variety of systems belonging to a broad diversity of contexts: from transportation to biology, from epidemiology to communications, and migrations, to cite a few. Spatial…

Physics and Society · Physics 2020-04-08 Ignacio Morer , Alessio Cardillo , Albert Diaz-Guilera , Luce Prignano , Sergi Lozano

The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework…

Optimization and Control · Mathematics 2021-09-14 Siddharth Bhela , Harsha Nagarajan , Deepjyoti Deka , Vassilis Kekatos

In this paper, we propose a graph neural network architecture to solve the AC power flow problem under realistic constraints. To ensure a safe and resilient operation of distribution grids, AC power flow calculations are the means of choice…

Machine Learning · Computer Science 2023-08-31 Luis Böttcher , Hinrikus Wolf , Bastian Jung , Philipp Lutat , Marc Trageser , Oliver Pohl , Andreas Ulbig , Martin Grohe

The structural human connectome (i.e.\ the network of fiber connections in the brain) can be analyzed at ever finer spatial resolution thanks to advances in neuroimaging. Here we analyze several large data sets for the human brain network…

Neurons and Cognition · Quantitative Biology 2016-06-08 Michael T. Gastner , Géza Ódor

Solving high-dimensional optimal control problems in real-time is an important but challenging problem, with applications to multi-agent path planning problems, which have drawn increased attention given the growing popularity of drones in…

Optimization and Control · Mathematics 2022-01-17 Tingwei Meng , Zhen Zhang , Jérôme Darbon , George Em Karniadakis

Topological methods for comparing weighted graphs are valuable in various learning tasks but often suffer from computational inefficiency on large datasets. We introduce RTD-Lite, a scalable algorithm that efficiently compares topological…

Machine Learning · Computer Science 2025-03-18 Eduard Tulchinskii , Daria Voronkova , Ilya Trofimov , Evgeny Burnaev , Serguei Barannikov

We study the performance of Weibull and scale free Internet-like networks and compare them to a classical random graph based network. The scaling of the traffic load with the nodal degree is established, and confimed in a numerical…

Condensed Matter · Physics 2007-05-23 Gergely Peli , Gabor Papp

Reconfigurable optical topologies are a promising new technology to improve datacenter network performance and cope with the explosive growth of traffic. In particular, these networks allow to directly and adaptively connect racks between…

Networking and Internet Architecture · Computer Science 2023-08-31 Marcin Bienkowski , David Fuchssteiner , Stefan Schmid

Computing-In-Memory (CIM) offers a potential solution to the memory wall issue and can achieve high energy efficiency by minimizing data movement, making it a promising architecture for edge AI devices. Lightweight models like MobileNet and…

Hardware Architecture · Computer Science 2025-08-21 Choongseok Song , Doo Seok Jeong

The resiliency of a network is its ability to remain \emph{effectively} functioning also when any of its nodes or links fails. However, to reduce operational and set-up costs, a network should be small in size, and this conflicts with the…

Data Structures and Algorithms · Computer Science 2016-11-07 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

We present a study of deep learning applied to the domain of network traffic data forecasting. This is a very important ingredient for network traffic engineering, e.g., intelligent routing, which can optimize network performance,…

Machine Learning · Computer Science 2019-09-13 Benedikt Pfülb , Christoph Hardegen , Alexander Gepperth , Sebastian Rieger

Network topology is critical for efficient parameter synchronization in distributed learning over networks. However, most existing studies do not account for bandwidth limitations in network topology design. In this paper, we propose a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-09 Yipeng Shen , Zehan Zhu , Yan Huang , Changzhi Yan , Cheng Zhuo , Jinming Xu

Collecting and analyzing of network traffic data (network telemetry) plays a critical role in managing modern networks. Network administrators analyze their traffic to troubleshoot performance and reliability problems, and to detect and…

Networking and Internet Architecture · Computer Science 2025-02-06 Shir Landau Feibish , Zaoxing Liu , Jennifer Rexford

The explosively growing communication traffic in datacenters imposes increasingly stringent performance requirements on the underlying networks. Over the last years, researchers have developed innovative optical switching technologies that…

Networking and Internet Architecture · Computer Science 2024-06-21 Johannes Zerwas , Chen Griner , Stefan Schmid , Chen Avin

Several studies exhibit that the traffic load of the routers only has a small influence on their energy consumption. Hence, the power consumption in networks is strongly related to the number of active network elements, such as interfaces,…

Networking and Internet Architecture · Computer Science 2014-10-07 Frédéric Giroire , Dorian Mazauric , Joanna Moulierac

The execution of large deep neural networks (DNN) at mobile edge devices requires considerable consumption of critical resources, such as energy, while imposing demands on hardware capabilities. In approaches based on edge computing the…

Machine Learning · Computer Science 2023-06-23 Juliano S. Assine , J. C. S. Santos Filho , Eduardo Valle , Marco Levorato

Here we analyze the topology of the network formed by the minima and transition states on the potential energy landscape of small clusters. We find that this network has both a small-world and scale-free character. In contrast to other…

Condensed Matter · Physics 2007-05-23 Jonathan P. K. Doye

We propose Slim Graph: the first programming model and framework for practical lossy graph compression that facilitates high-performance approximate graph processing, storage, and analytics. Slim Graph enables the developer to express…

Data Structures and Algorithms · Computer Science 2021-08-04 Maciej Besta , Simon Weber , Lukas Gianinazzi , Robert Gerstenberger , Andrey Ivanov , Yishai Oltchik , Torsten Hoefler

Networks are designed with functionality, security, performance, and cost in mind. Tools exist to check or optimize individual properties of a network. These properties may conflict, so it is not always possible to run these tools in series…

Cryptography and Security · Computer Science 2019-02-19 Timothy Curry , Devon Callahan , Benjamin Fuller , Laurent Michel
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