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In this paper, we propose to study on sufficient control of complex networks which is to control a sufficiently large portion of the network, where only the quantity of controllable nodes matters. To the best of our knowledge, this is the…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Xiang Li , Guoqi Li , Leitao Gao , Beibei Li , Gaoxi Xiao

This paper considers the problem of algorithm selection for community detection. The aim of community detection is to identify sets of nodes in a network which are more interconnected relative to their connectivity to the rest of the…

Social and Information Networks · Computer Science 2010-10-27 Leto Peel

In modern data center networks, thousands of hosts contend for shared link capacity; the scale of these systems makes centralized scheduling impractical. This article models such scheduling as a bipartite matching problem under…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Moonmoon Mohanty , Gautham Bolar , Preetam Patil , Ayalvadi Ganesh , Jean-Francois Chamberland , Parimal Parag

We present a novel heuristic algorithm for routing optimization on complex networks. Previously proposed routing optimization algorithms aim at avoiding or reducing link overload. Our algorithm balances traffic on a network by minimizing…

Statistical Mechanics · Physics 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

Developing of an effective flow control algorithm to avoid congestion is a hot topic in computer network society. This document gives a mathematical model for general network at the beginning, and then discrete control theory is proposed as…

Networking and Internet Architecture · Computer Science 2021-07-05 G. Millán

Our goal is to quickly find top $k$ lists of nodes with the largest degrees in large complex networks. If the adjacency list of the network is known (not often the case in complex networks), a deterministic algorithm to find a node with the…

Data Structures and Algorithms · Computer Science 2012-02-16 Konstantin Avrachenkov , Nelly Litvak , Marina Sokol , Don Towsley

We present a simple yet effective routing strategy inspired by coverage control, which delays the onset of congestion on traffic networks, by introducing a control parameter. The routing algorithm allows a trade-off between the congestion…

Networking and Internet Architecture · Computer Science 2015-08-17 Timothy Barker , Chao Zhai , Mario di Bernardo

Bipartite matching systems arise in many settings where agents or tasks from two distinct sets must be paired dynamically under compatibility constraints. We consider a high-dimensional bipartite matching system under uncertainty and seek…

Optimization and Control · Mathematics 2025-10-20 Baris Ata , Yaosheng Xu

The paper considers the problem of a leader that seeks to optimally influence the opinions of agents in a directed network through connecting with a limited number of the agents ("direct followers"), possibly in the presence of a fixed…

Optimization and Control · Mathematics 2018-06-20 Van Sy Mai , Eyad H. Abed

Unveiling the underlying control principles of complex networks is one of the ultimate goals of network science. We introduce a novel concept, control hub, to reveal a cornerstone of the control structure of a network. The control hubs of a…

Discrete Mathematics · Computer Science 2022-06-03 Xizhe Zhang , Chunyu Pan , Weixiong Zhang

We propose a neural network approach to model general interaction dynamics and an adjoint based stochastic gradient descent algorithm to calibrate its parameters. The parameter calibration problem is considered as optimal control problem…

Optimization and Control · Mathematics 2021-02-01 Simone Göttlich , Claudia Totzeck

Identifying the most influential driver nodes to guarantee the fastest synchronization speed is a key topic in pinning control of multi-agent systems. This paper develops a methodology to find the most influential pinning nodes under…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Guangrui Zhang , Zhaohui Liu , Xinghuo Yu , Mahdi Jalili

We develop an algorithm capable of compressing large networks into a smaller ones with similar control plane behavior: For every stable routing solution in the large, original network, there exists a corresponding solution in the compressed…

Networking and Internet Architecture · Computer Science 2018-06-25 Ryan Beckett , Aarti Gupta , Ratul Mahajan , David Walker

In this paper, we propose closed-form analytical expressions to determine the minimum number of driver nodes that is needed to control a specific class of networks. We consider swarm signaling networks with regular out-degree distribution…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Peng Sun , Robert E. Kooij , Roland Bouffanais

We consider the leader selection problem in a network with consensus dynamics where both leader and follower agents are subject to stochastic external disturbances. The performance of the system is quantified by the total steady-state…

Optimization and Control · Mathematics 2017-12-25 Erika Mackin , Stacy Patterson

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

A determinant property of the structure of a biological network is the distribution of local connectivity patterns, i.e., network motifs. In this work, a method for creating directed, unweighted networks while promoting a certain…

Social and Information Networks · Computer Science 2016-07-29 Tuomo Mäki-Marttunen

Networked systems are systems of interconnected components, in which the dynamics of each component are influenced by the behavior of neighboring components. Examples of networked systems include biological networks, critical…

Systems and Control · Computer Science 2016-06-01 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

The task of intercepting a target moving along a rectilinear or circular trajectory by a Dubins' car is formulated as a time-optimal control problem with an arbitrary direction of the car's velocity at the interception moment. To solve this…

Optimization and Control · Mathematics 2023-04-14 Ivan Nasonov , Andrey Galyaev , Andrey Medvedev

Optimization networks are a new methodology for holistically solving interrelated problems that have been developed with combinatorial optimization problems in mind. In this contribution we revisit the core principles of optimization…