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In this work we consider \emph{temporal networks}, i.e. networks defined by a \emph{labeling} $\lambda$ assigning to each edge of an \emph{underlying graph} $G$ a set of \emph{discrete} time-labels. The labels of an edge, which are natural…

Discrete Mathematics · Computer Science 2018-07-02 George B. Mertzios , Othon Michail , Paul G. Spirakis

The high computational complexity and increasing parameter counts of deep neural networks pose significant challenges for deployment in resource-constrained environments, such as edge devices or real-time systems. To address this, we…

Machine Learning · Computer Science 2025-06-17 Laura Erb , Tommaso Boccato , Alexandru Vasilache , Juergen Becker , Nicola Toschi

Given the dynamic nature of traffic, we investigate the variant of robust network design where we have to determine the capacity to reserve on each link so that each demand vector belonging to a polyhedral set can be routed. The objective…

Computational Complexity · Computer Science 2021-01-29 Yacine Al-Najjar , Walid Ben-Ameur , Jeremie Leguay

We study a class of deterministic mean field games and related optimal control problems, with a finite time horizon and in which the state space is a network. An agent controls her velocity, and, when she occupies a vertex, she can either…

Optimization and Control · Mathematics 2025-11-25 Yves Achdou , Claudio Marchi , Nicoletta Tchou

We consider a sharing economy network where agents embedded in a graph share their resources. This is a fundamental model that abstracts numerous emerging applications of collaborative consumption systems. The agents generate a random…

Computer Science and Game Theory · Computer Science 2017-03-29 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

The field of optimal control typically requires the assumption of perfect knowledge of the system one desires to control, which is an unrealistic assumption for biological systems, or networks, typically affected by high levels of…

Optimization and Control · Mathematics 2021-04-28 Isaac Klickstein , Francesco Sorrentino

We analyze a network formation game in a strategic setting where payoffs of individuals depend only on their immediate neighbourhood. We call these payoffs as localized payoffs. In this game, the payoff of each individual captures (1) the…

Social and Information Networks · Computer Science 2012-01-04 Rohith Dwarakanath Vallam , C. A. Subramanian , Ramasuri Narayanam , Y. Narahari , Srinath Narasimha

We investigate the optimal design of networks for a general transport system. Our network is built from a regular two-dimensional ($d=2$) square lattice to be improved by adding long-range connections (shortcuts) with probability $P_{ij}…

Physics and Society · Physics 2014-04-24 G. Li , S. D. S. Reis , A. A. Moreira , S. Havlin , H. E. Stanley , J. S. Andrade

In this paper we introduce a capacity allocation game which models the problem of maximizing network utility from the perspective of distributed noncooperative agents. Motivated by the idea of self-managed networks, in the developed…

Computer Science and Game Theory · Computer Science 2013-07-23 Dariusz Gcasior , Maciej Drwal

We study the min-cost seed selection problem in online social networks, where the goal is to select a set of seed nodes with the minimum total cost such that the expected number of influenced nodes in the network exceeds a predefined…

Data Structures and Algorithms · Computer Science 2017-12-21 Kai Han , Yuntian He , Xiaokui Xiao , Shaojie Tang , Jingxin Xu , Liusheng Huang

We study a class of games in which a finite number of agents each controls a quantity of flow to be routed through a network, and are able to split their own flow between multiple paths through the network. Recent work on this model has…

Computer Science and Game Theory · Computer Science 2007-11-09 P. W. Goldberg , P. Polpinit

In a seminal paper, Chen, Roughgarden and Valiant studied cost sharing protocols for network design with the objective to implement a low-cost Steiner forest as a Nash equilibrium of an induced cost-sharing game. One of the most intriguing…

Computer Science and Game Theory · Computer Science 2017-10-05 Tobias Harks , Anja Huber , Manuel Surek

We study strong equilibria in network creation games. These form a classical and well-studied class of games where a set of players form a network by buying edges to their neighbors at a cost of a fixed parameter $\alpha$. The cost of a…

Computer Science and Game Theory · Computer Science 2018-10-22 Tomasz Janus , Bart de Keijzer

We propose a model of discrete time dynamic congestion games with atomic players and a single source-destination pair. The latencies of edges are composed by free-flow transit times and possible queuing time due to capacity constraints. We…

Computer Science and Game Theory · Computer Science 2019-01-03 Marco Scarsini , Marc Schröder , Tristan Tomala

Network Creation Games are an important framework for understanding the formation of real-world networks. These games usually assume a set of indistinguishable agents strategically buying edges at a uniform price leading to a network among…

Computer Science and Game Theory · Computer Science 2022-05-02 Martin Bullinger , Pascal Lenzner , Anna Melnichenko

The coupling of some types of oscillators requires the mediation of a physical link between them, rendering the distance between oscillators a critical factor to achieve synchronization. In this paper we propose and explore a greedy…

Adaptation and Self-Organizing Systems · Physics 2022-09-21 Damien Beecroft , Juan G. Restrepo , David Angulo-Garcia

We study the problem of patrolling the nodes of a network collaboratively by a team of mobile agents, such that each node of the network is visited by at least one agent once in every $I(n)$ time units, with the objective of minimizing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Shantanu Das , Giuseppe Antonio Di Luna , Leszek A. Gasieniec

This paper focuses on designing edge-weighted networks, whose robustness is characterized by maximizing algebraic connectivity, or the second smallest eigenvalue of the Laplacian matrix. This problem is motivated by cooperative vehicle…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Neelkamal Somisetty , Harsha Nagarajan , Swaroop Darbha

The cost-sharing connection game is a variant of routing games on a network. In this model, given a directed graph with edge costs and edge capacities, each agent wants to construct a path from a source to a sink with low cost. The users…

Computer Science and Game Theory · Computer Science 2023-03-01 Tesshu Hanaka , Toshiyuki Hirose , Hirotaka Ono

Organizations consist of individuals connected by their responsibilities, incentives, and reporting structure. These connections are aptly represented by a network, hierarchical or other, which is often used to divide tasks. A primary goal…

Computer Science and Game Theory · Computer Science 2017-03-09 Swaprava Nath , Balakrishnan , Narayanaswamy
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