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We consider the average-consensus problem in a multi-node network of finite size. Communication between nodes is modeled by a sequence of directed signals with arbitrary communication delays. Four distributed algorithms that achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-23 Kevin Topley , Vikram Krishnamurthy

We consider network structures that optimize the $\mathcal{H}_2$ norm of weighted, time scaled consensus networks, under a minimal representation of such consensus networks described by the edge Laplacian. We show that a greedy algorithm…

Optimization and Control · Mathematics 2020-06-30 Mathias Hudoba de Badyn , Dillon R. Foight , Daniel Calderone , Mehran Mesbahi , Roy S. Smith

The emergence of massive graph data sets requires fast mining algorithms. Centrality measures to identify important vertices belong to the most popular analysis methods in graph mining. A measure that is gaining attention is forest…

Data Structures and Algorithms · Computer Science 2021-01-18 Alexander van der Grinten , Eugenio Angriman , Maria Predari , Henning Meyerhenke

In this paper, a gradient-free distributed algorithm is introduced to solve a set constrained optimization problem under a directed communication network. Specifically, at each time-step, the agents locally compute a so-called…

Optimization and Control · Mathematics 2021-09-06 Yipeng Pang , Guoqiang Hu

We consider the tree consensus problem, an important problem in bioinformatics. Given a rooted tree $t$ and another tree $T$, one would like to incorporate compatible information from $T$ to $t$. This problem is a subproblem in the tree…

Data Structures and Algorithms · Computer Science 2020-03-09 Pongsaphol Pongsawakul

In this paper, we study fault-tolerant distributed consensus in wireless systems. In more detail, we produce two new randomized algorithms that solve this problem in the abstract MAC layer model, which captures the basic interface and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-09 Calvin Newport , Peter Robinson

We consider a class of multi-agent cooperative consensus optimization problems with local nonlinear convex constraints where only those agents connected by an edge can directly communicate, hence, the optimal consensus decision lies in the…

Optimization and Control · Mathematics 2023-02-23 Nazanin Abolfazli , Afrooz Jalilzadeh , Erfan Yazdandoost Hamedani

In this paper, we study the optimal convergence rate for distributed convex optimization problems in networks. We model the communication restrictions imposed by the network as a set of affine constraints and provide optimal complexity…

Optimization and Control · Mathematics 2018-11-16 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

In this paper we consider the problem of connected edge searching of weighted trees. It is shown that there exists a polynomial-time algorithm for finding optimal connected search strategy for bounded degree trees with arbitrary weights on…

Data Structures and Algorithms · Computer Science 2021-03-05 Dariusz Dereniowski

We consider the problem of robustness in large consensus networks that occur in many areas such as distributed optimization. Robustness, in this context, is the scaling of performance measures, e.g. H2-norm, as a function of network…

Systems and Control · Computer Science 2018-02-27 Tuhin Sarkar , Mardavij Roozbehani , Munther A. Dahleh

We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a ``semi-duality'' between minimum cuts and maximum spanning tree packings combined with our previously developed random sampling…

Data Structures and Algorithms · Computer Science 2007-05-23 David R. Karger

Fast distributed algorithms that output a feasible solution for constraint satisfaction problems, such as maximal independent sets, have been heavily studied. There has been much less research on distributed sampling problems, where one…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-07 Sriram V. Pemmaraju , Joshua Z. Sobel

Grouping the nodes of a graph into clusters is a standard technique for studying networks. We study a problem where we are given a directed network and are asked to partition the graph into a sequence of coherent groups. We assume that…

Social and Information Networks · Computer Science 2025-12-08 Iiro Kumpulainen , Nikolaj Tatti

The paper investigates theoretical issues in applying the universal swarming technique to efficient content distribution. In a swarming session, a file is distributed to all the receivers by having all the nodes in the session exchange file…

Networking and Internet Architecture · Computer Science 2013-06-04 Xiaoying Zheng , Chunglae Cho , Ye Xia

In this work we study the problem of unconstrained convex-optimization in a fully distributed multi-agent setting which includes asynchronous computation and lossy communication. In particular, we extend a recently proposed algorithm named…

Optimization and Control · Mathematics 2017-07-31 Nicoletta Bof , Ruggero Carli , Giuseppe Notarstefano , Luca Schenato , Damiano Varagnolo

This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, which relies not only on the local state variable but also on…

Optimization and Control · Mathematics 2025-04-01 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu , Jian Chu

Reliable propagation of information through large networks, e.g., communication networks, social networks or sensor networks is very important in many applications concerning marketing, social networks, and wireless sensor networks.…

Data Structures and Algorithms · Computer Science 2018-05-08 Christian Frey , Andreas Züfle , Tobias Emrich , Matthias Renz

This paper develops a unified distributed method for solving two classes of constrained networked optimization problems, i.e., optimal consensus problem and resource allocation problem with non-identical set constraints. We first transform…

Optimization and Control · Mathematics 2023-07-17 Yi Huang , Ziyang Meng , Jian Sun , Wei Ren

Given a network represented by a graph $G=(V,E)$, we consider a dynamical process of influence diffusion in $G$ that evolves as follows: Initially only the nodes of a given $S\subseteq V$ are influenced; subsequently, at each round, the set…

Data Structures and Algorithms · Computer Science 2016-10-13 Gennaro Cordasco , Luisa Gargano , Marco Mecchia , Adele A. Rescigno , Ugo Vaccaro

Optimal transport has been used extensively in resource matching to promote the efficiency of resources usages by matching sources to targets. However, it requires a significant amount of computations and storage spaces for large-scale…

Optimization and Control · Mathematics 2019-04-10 Rui Zhang , Quanyan Zhu