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When the underlying physical network layer in optimal network flow problems is a large graph, the associated optimization problem has a large set of decision variables. In this paper, we discuss how the cycle basis from graph theory can be…

Systems and Control · Computer Science 2017-06-06 Reza Asadi , Solmaz S. Kia

FAST-TCP achieves better performance than traditional TCP-Reno schemes, but unfortunately it is inherently unfair to older connections due to wrong estimations of the round-trip propagation delay. This paper presents a model for this…

Networking and Internet Architecture · Computer Science 2015-09-02 Miguel Rodríguez-Pérez , Sergio Herrería-Alonso , Manuel Fernández-Veiga , Cándido López-García

Partitioning an input graph over a set of workers is a complex operation. Objectives are twofold: split the work evenly, so that every worker gets an equal share, and minimize edge cut to achieve a good work locality (i.e. workers can work…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Le Merrer Erwan , Liang Yizhong , Trédan Gilles

The Maximum Flow (Max-Flow) problem is a cornerstone in graph theory and combinatorial optimization, aiming to determine the largest possible flow from a designated source node to a sink node within a capacitated flow network. It has…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Shruthi Kannappan , Ashwina Kumar , Rupesh Nasre

Network traffic analysis reveals important information even when messages are encrypted. We consider active traffic analysis via flow fingerprinting by invisibly embedding information into packet timings of flows. In particular, assume…

Networking and Internet Architecture · Computer Science 2018-09-25 Ramin Soltani , Dennis Goeckel , Don Towsley , Amir Houmansadr

We study the computation of the flow of water on imprecise terrains. We consider two approaches to modeling flow on a terrain: one where water flows across the surface of a polyhedral terrain in the direction of steepest descent, and one…

Computational Geometry · Computer Science 2012-09-27 Anne Driemel , Herman J. Haverkort , Maarten Löffler , Rodrigo Silveira

We investigate the time-complexity of the All-Pairs Max-Flow problem: Given a graph with $n$ nodes and $m$ edges, compute for all pairs of nodes the maximum-flow value between them. If Max-Flow (the version with a given source-sink pair…

Data Structures and Algorithms · Computer Science 2019-07-11 Amir Abboud , Robert Krauthgamer , Ohad Trabelsi

Several concepts borrowed from graph theory are routinely used to better understand the inner workings of the (human) brain. To this end, a connectivity network of the brain is built first, which then allows one to assess quantities such as…

Data Structures and Algorithms · Computer Science 2024-09-16 Jingyun Qian , Georg Hahn

Random search processes are instrumental in studying and understanding navigation properties of complex networks, food search strategies of animals, diffusion control of molecular processes in biological cells, and improving web search…

Social and Information Networks · Computer Science 2016-01-27 Igor Trpevski , Ljupco Kocarev

In recent years, traffic flow prediction has played a crucial role in the management of intelligent transportation systems. However, traditional prediction methods are often limited by static spatial modeling, making it difficult to…

Machine Learning · Computer Science 2025-01-09 Mei Wu , Wenchao Weng , Jun Li , Yiqian Lin , Jing Chen , Dewen Seng

Financial institutions obtain enormous amounts of data about user transactions and money transfers, which can be considered as a large graph dynamically changing in time. In this work, we focus on the task of predicting new interactions in…

Machine Learning · Statistics 2020-01-24 Valentina Shumovskaia , Kirill Fedyanin , Ivan Sukharev , Dmitry Berestnev , Maxim Panov

In this paper, we present "Graph Feature Preprocessor", a software library for detecting typical money laundering patterns in financial transaction graphs in real time. These patterns are used to produce a rich set of transaction features…

Optimizing embedded systems, where the optimization of one depends on the state of another, is a formidable computational and algorithmic challenge, that is ubiquitous in real world systems. We study flow networks, where bilevel…

Optimization and Control · Mathematics 2022-11-09 Bo Li , David Saad , Chi Ho Yeung

The computation of electrical flows is a crucial primitive for many recently proposed optimization algorithms on weighted networks. While typically implemented as a centralized subroutine, the ability to perform this task in a fully…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-01 Luca Becchetti , Vincenzo Bonifaci , Emanuele Natale

Flow matching casts sample generation as learning a continuous-time velocity field that transports noise to data. Existing flow matching networks typically predict each point's velocity independently, considering only its location and time…

Machine Learning · Computer Science 2025-11-11 Md Shahriar Rahim Siddiqui , Moshe Eliasof , Eldad Haber

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

Computing subgraph frequencies is a fundamental task that lies at the core of several network analysis methodologies, such as network motifs and graphlet-based metrics, which have been widely used to categorize and compare networks from…

Data Structures and Algorithms · Computer Science 2021-12-30 Pedro Ribeiro , Pedro Paredes , Miguel E. P. Silva , David Aparicio , Fernando Silva

Data defined over a network have been successfully modelled by means of graph filters. However, although in many scenarios the connectivity of the network is known, e.g., smart grids, social networks, etc., the lack of well-defined…

Signal Processing · Electrical Eng. & Systems 2020-07-08 Alberto Natali , Mario Coutino , Geert Leus

We investigate how the underlying graph of a network supports a flow between a source node and a destination node and propose to compute the expected number of nodes and links that contribute to transferring items in random graphs. Since…

Mathematical Physics · Physics 2026-03-04 Zhihao Qiu , Xinhan Liu , Rogier Noldus , Piet Van Mieghem

Motivated by an application to resource sharing network modelling, we consider a problem of greedy maximization (i.e., maximization of the consecutive minima) of a vector in $R^n$, with the admissible set indexed by the time parameter. The…

Optimization and Control · Mathematics 2019-02-05 Lukasz Kruk