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We consider the problem of sampling from the uniform distribution on the set of Eulerian orientations of subgraphs of the triangular lattice. Although it is known that this can be achieved in polynomial time for any graph, the algorithm…

Discrete Mathematics · Computer Science 2007-05-23 Paidi Creed

Graphlet analysis is an approach to network analysis that is particularly popular in bioinformatics. We show how to set up a system of linear equations that relate the orbit counts and can be used in an algorithm that is significantly…

Data Structures and Algorithms · Computer Science 2017-04-12 Tomaž Hočevar , Janez Demšar

Millions of flows are routed concurrently through a modern data-center. These networks are often built as Clos topologies, and flow demands are constrained only by the link capacities at the ingress and egress points. The minimum congestion…

Networking and Internet Architecture · Computer Science 2025-05-08 Miguel Ferreira , Nirav Atre , Justine Sherry , Michael Dinitz , João Luís Sobrinho

Modern graphs are both large and dynamic, presenting significant challenges for fundamental queries, such as the Single-Source Shortest Path (SSSP) problem. Naively recomputing the SSSP tree after each topology change is prohibitively…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-15 Parshan Javanrood , Matei Ripeanu

The $\hybrid$ model was recently introduced by Augustine et al. \cite{DBLP:conf/soda/AugustineHKSS20} in order to characterize from an algorithmic standpoint the capabilities of networks which combine multiple communication modes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Ioannis Anagnostides , Themis Gouleakis

Backpressure-based adaptive routing algorithms where each packet is routed along a possibly different path have been extensively studied in the literature. However, such algorithms typically result in poor delay performance and involve high…

Networking and Internet Architecture · Computer Science 2010-05-28 Eleftheria Athanasopoulou , Loc Bui , Tianxiong Ji , R. Srikant , Alexander Stoylar

In the graph clustering problem with a planted solution, the input is a graph on $n$ vertices partitioned into $k$ clusters, and the task is to infer the clusters from graph structure. A standard assumption is that clusters induce…

Data Structures and Algorithms · Computer Science 2025-11-24 Hendrik Fichtenberger , Michael Kapralov , Ekaterina Kochetkova , Silvio Lattanzi , Davide Mazzali , Weronika Wrzos-Kaminska

We use queueing networks to present a new approach to solving Laplacian systems. This marks a significant departure from the existing techniques, mostly based on graph-theoretic constructions and sampling. Our distributed solver works for a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-11 Iqra Altaf Gillani , Amitabha Bagchi

This paper addresses point-to-point packet routing in undirected networks, which is the most important communication primitive in most networks. The main result proves the existence of routing tables that guarantee a polylog-competitive…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-14 Bernhard Haeupler , Shyamal Patel , Antti Roeyskoe , Cliff Stein , Goran Zuzic

We present the design of a new large scale orchestration layer for accelerators. Our system, Pathways, is explicitly designed to enable exploration of new systems and ML research ideas, while retaining state of the art performance for…

In this short paper, we present an improved algorithm for approximating the minimum cut on distributed (CONGEST) networks. Let $\lambda$ be the minimum cut. Our algorithm can compute $\lambda$ exactly in…

Data Structures and Algorithms · Computer Science 2014-05-16 Danupon Nanongkai

Because of the stochastic nature of traffic requirement matrix, it is very difficult to get the optimal traffic distribution to minimize the delay even with adaptive routing protocol in a fixed connection network where capacity already…

Neural and Evolutionary Computing · Computer Science 2010-03-25 Manoj Kumar Singh

Trajectory representation learning on a network enhances our understanding of vehicular traffic patterns and benefits numerous downstream applications. Existing approaches using classic machine learning or deep learning embed trajectories…

Machine Learning · Computer Science 2023-12-14 Yuanbo Tang , Zhiyuan Peng , Yang Li

A butterfly network consists of logarithmically many layers, each with a linear number of non-zero weights (pre-specified). The fast Johnson-Lindenstrauss transform (FJLT) can be represented as a butterfly network followed by a projection…

Machine Learning · Computer Science 2021-07-06 Nir Ailon , Omer Leibovich , Vineet Nair

The single-source shortest path problem is a classical problem in the research field of graph algorithm. In this paper, a new single-source shortest path algorithm for nonnegative weight graph is proposed. The algorithm can compress…

Data Structures and Algorithms · Computer Science 2015-10-16 Yunpeng Li

We prove the existence of an oblivious routing scheme that is $\mathrm{poly}(\log n)$-competitive in terms of $(congestion + dilation)$, thus resolving a well-known question in oblivious routing. Concretely, consider an undirected network…

Data Structures and Algorithms · Computer Science 2022-10-24 Mohsen Ghaffari , Bernhard Haeupler , Goran Zuzic

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

The $k$-center problem is a central optimization problem with numerous applications for machine learning, data mining, and communication networks. Despite extensive study in various scenarios, it surprisingly has not been thoroughly…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-26 Leyla Biabani , Ami Paz

We design dynamic routing policies for an overlay network which meet delay requirements of real-time traffic being served on top of an underlying legacy network, where the overlay nodes do not know the underlay characteristics. We pose the…

Networking and Internet Architecture · Computer Science 2019-04-19 Rahul Singh , Eytan Modiano

The routing algorithms for parallel computers, on-chip networks, multi-core processors, and multiprocessors system-on-chip (MP-SoCs) exhibit router failures must be able to handle interconnect router failures that render a symmetrical mesh…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-28 Farshad Safaei , Majed ValadBeigi