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A strongly polynomial algorithm is given for the generalized flow maximization problem. It uses a new variant of the scaling technique, called continuous scaling. The main measure of progress is that within a strongly polynomial number of…

Data Structures and Algorithms · Computer Science 2016-03-01 László A. Végh

Routing is a widespread approach to transfer information from a source node to a destination node in many deployed wireless ad-hoc networks. Today's implemented routing algorithms seek to efficiently find the path/route with the largest…

Information Theory · Computer Science 2018-10-16 Yahya H. Ezzeldin , Martina Cardone , Christina Fragouli , Daniela Tuninetti

We demonstrate experimentally the feasibility of applying reinforcement learning (RL) in flow control problems by automatically discovering active control strategies without any prior knowledge of the flow physics. We consider the turbulent…

Fluid Dynamics · Physics 2020-03-10 Dixia Fan , Liu Yang , Michael S Triantafyllou , George Em Karniadakis

We present elements of a typing theory for flow networks, where "types", "typings", and "type inference" are formulated in terms of familiar notions from polyhedral analysis and convex optimization. Based on this typing theory, we develop…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-22 Assaf Kfoury

Cascading failures are a common phenomenon in complex networked systems where failures at only a few nodes may trigger a process of sequential failure. We applied a flow redistribution model to investigate the robustness against cascading…

Networking and Internet Architecture · Computer Science 2022-03-03 I-Cheng Lin , Carlee Joe-Wong , Osman Yagan

Flows in networks (or graphs) play a significant role in numerous computer vision tasks. The scalar-valued edges in these graphs often lead to a loss of information and thereby to limitations in terms of expressiveness. For example,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Viktoria Ehm , Daniel Cremers , Florian Bernard

We prove a strong version of the Max-Flow Min-Cut theorem for countable networks, namely that in every such network there exist a flow and a cut that are "orthogonal" to each other, in the sense that the flow saturates the cut and is zero…

Combinatorics · Mathematics 2009-11-23 Ron Aharoni , Eli Berger , Agelos Georgakopoulos , Amitai Perlstein , Philipp Sprüssel

We consider flow rounding: finding an integral flow from a fractional flow. Costed flow rounding asks that we find an integral flow with no worse cost. Randomized flow rounding requires we randomly find an integral flow such that the…

Data Structures and Algorithms · Computer Science 2015-07-30 Donggu Kang , James Payor

We consider a model of two interdependent networks, where every node in one network depends on one or more supply nodes in the other network and a node fails if it loses all of its supply nodes. We develop algorithms to compute the failure…

Data Structures and Algorithms · Computer Science 2021-11-29 Jianan Zhang , Eytan Modiano

This paper addresses the scheduling problem of coflows in identical parallel networks, which is a well-known $NP$-hard problem. Coflow is a relatively new network abstraction used to characterize communication patterns in data centers. We…

Data Structures and Algorithms · Computer Science 2023-12-21 Chi-Yeh Chen

This paper proposes a novel admission and routing scheme which takes into account arbitrarily assigned priorities for network flows. The presented approach leverages the centralized Software Defined Networking (SDN) capabilities in order to…

Networking and Internet Architecture · Computer Science 2020-09-24 Jorge López , Maxime Labonne , Claude Poletti , Dallal Belabed

The terminal backup problems (Anshelevich and Karagiozova (2011)) form a class of network design problems: Given an undirected graph with a requirement on terminals, the goal is to find a minimum cost subgraph satisfying the connectivity…

Data Structures and Algorithms · Computer Science 2020-08-25 Hiroshi Hirai , Motoki Ikeda

In this paper, we focus our attention on the large capacities unsplittable flow problem in a game theoretic setting. In this setting, there are selfish agents, which control some of the requests characteristics, and may be dishonest about…

Data Structures and Algorithms · Computer Science 2008-12-18 Yossi Azar , Iftah Gamzu , Shai Gutner

Given a flow network with variable suppliers and fixed consumers, the minimax flow problem consists in minimizing the maximum flow between nodes, subject to flow conservation and capacity constraints. We solve this problem over acyclic…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Marco Coraggio , Saber Jafarpour , Francesco Bullo , Mario di Bernardo

We propose a framework for speeding up maximum flow computation by using predictions. A prediction is a flow, i.e., an assignment of non-negative flow values to edges, which satisfies the flow conservation property, but does not necessarily…

Data Structures and Algorithms · Computer Science 2022-07-27 Adam Polak , Maksym Zub

It is already known that in multicast (single source, multiple sinks) network, random linear network coding can achieve the maximum flow upper bound. In this paper, we investigate how random linear network coding behaves in general…

Information Theory · Computer Science 2012-10-09 Yuan Li

Network administrators want to detect TCP-level packet reordering to diagnose performance problems and attacks. However, reordering is expensive to measure, because each packet must be processed relative to the TCP sequence number of its…

Networking and Internet Architecture · Computer Science 2023-02-21 Yufei Zheng , Huacheng Yu , Jennifer Rexford

Push-Relabel is one of the most celebrated network flow algorithms. Maintaining a pre-flow that saturates a cut, it enjoys better theoretical and empirical running time than other flow algorithms, such as Ford-Fulkerson. In practice,…

Data Structures and Algorithms · Computer Science 2024-05-30 Sami Davies , Sergei Vassilvitskii , Yuyan Wang

We give an algorithm that computes exact maximum flows and minimum-cost flows on directed graphs with $m$ edges and polynomially bounded integral demands, costs, and capacities in $m^{1+o(1)}$ time. Our algorithm builds the flow through a…

Data Structures and Algorithms · Computer Science 2022-04-26 Li Chen , Rasmus Kyng , Yang P. Liu , Richard Peng , Maximilian Probst Gutenberg , Sushant Sachdeva

We give faster algorithms for weak expander decompositions and approximate max flow on undirected graphs. First, we show that it is possible to "warm start" the cut-matching game when computing weak expander decompositions, avoiding the…

Data Structures and Algorithms · Computer Science 2025-11-06 Henry Fleischmann , George Z. Li , Jason Li