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In this review we establish various connections between complex networks and symmetry. While special types of symmetries (e.g., automorphisms) are studied in detail within discrete mathematics for particular classes of deterministic graphs,…

General Finance · Quantitative Finance 2010-11-04 Diego Garlaschelli , Franco Ruzzenenti , Riccardo Basosi

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

The optimal scheduling of interfering links in a dense wireless network with full frequency reuse is a challenging task. The traditional method involves first estimating all the interfering channel strengths then optimizing the scheduling…

Signal Processing · Electrical Eng. & Systems 2021-02-05 Wei Cui , Kaiming Shen , Wei Yu

For a multi-agent system state estimation resting upon noisy measurements constitutes a problem related to several application scenarios. Adopting the standard least-squares approach, in this work we derive both the (centralized) analytic…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Giulia Michieletto , Angelo Cenedese

CSMA/CA networks have often been analyzed using a stylized model that is fully characterized by a vector of back-off rates and a conflict graph. Further, for any achievable throughput vector $\vec \theta$ the existence of a unique vector…

Networking and Internet Architecture · Computer Science 2017-04-11 Benny Van Houdt

An efficient Bayesian inference method for problems that can be mapped onto dense graphs is presented. The approach is based on message passing where messages are averaged over a large number of replicated variable systems exposed to the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Juan P Neirotti , David Saad

We consider a network topology design problem in which an initial undirected graph underlying the network is given and the objective is to select a set of edges to add to the graph to optimize the coherence of the resulting network. We show…

Optimization and Control · Mathematics 2014-11-19 Tyler Summers , Iman Shames , John Lygeros , Florian Dörfler

Despite the rich literature on scheduling algorithms for wireless networks, algorithms that can provide deadline guarantees on packet delivery for general traffic and interference models are very limited. In this paper, we study the problem…

Networking and Internet Architecture · Computer Science 2021-01-14 Christos Tsanikidis , Javad Ghaderi

The problem of Multi-Agent Path Finding (MAPF) calls for finding a set of conflict-free paths for a fleet of agents operating in a given environment. Arguably, the state-of-the-art approach to computing optimal solutions is Conflict-Based…

Multiagent Systems · Computer Science 2021-04-20 Ofir Gordon , Yuval Filmus , Oren Salzman

Reliability is one of the important measures of how well the system meets its design objective, and mathematically is the probability that a system will perform satisfactorily for at least a given period of time. When the system is…

Physics and Society · Physics 2014-12-16 Ho Tat Lam , Kwok Yip Szeto

Schematic maps are in daily use to show the connectivity of subway systems and to facilitate travellers to plan their journeys effectively. This study surveys up-to-date algorithmic approaches in order to give an overview of the state of…

Physics and Society · Physics 2022-08-16 Hsiang-Yun Wu , Benjamin Niedermann , Shigeo Takahashi , Martin Nöllenburg

We present a new algorithm for exactly solving decision making problems represented as influence diagrams. We do not require the usual assumptions of no forgetting and regularity; this allows us to solve problems with simultaneous decisions…

Artificial Intelligence · Computer Science 2015-03-19 Denis Deratani Mauá , Cassio Polpo de Campos , Marco Zaffalon

We propose a distributed algorithm for controlling traffic signals, allowing constraints such as periodic switching sequences of phases and minimum and maximum green time to be incorporated. Our algorithm is adapted from backpressure…

Systems and Control · Computer Science 2014-07-07 Tichakorn Wongpiromsarn , Tawit Uthaicharoenpong , Emilio Frazzoli , Yu Wang , Danwei Wang

Coverage analysis is essential for validating the safety of autonomous driving systems, yet existing approaches typically assess coverage factors individually or in limited combinations, struggling to capture the complex interactions…

Methodology · Statistics 2026-02-03 Thomas Muehlenstädt , Marius Bause

Traffic flows in a distributed computing network require both transmission and processing, and can be interdicted by removing either communication or computation resources. We study the robustness of a distributed computing network under…

Networking and Internet Architecture · Computer Science 2021-11-29 Jianan Zhang , Hyang-Won Lee , Eytan Modiano

This paper focuses on the analysis of real-time non preemptive multiprocessor scheduling with precedence and several latency constraints. It aims to specify a schedulability condition which enables a designer to check a priori -without…

Operating Systems · Computer Science 2013-01-22 Omar Kermia

Uplink scheduling/resource allocation under the single-carrier FDMA constraint is investigated, taking into account the queuing dynamics at the transmitters. Under the single-carrier constraint, the problem of MaxWeight scheduling, as well…

Networking and Internet Architecture · Computer Science 2013-01-08 Shreeshankar Bodas , Bilal Sadiq

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

Methodology · Statistics 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

Routing, modulation and spectrum allocation in elastic optical networks is a problem aiming at increasing the capacity of the network. Many algorithms such as shortest path algorithm can be used as the routing section of this problem. The…

Networking and Internet Architecture · Computer Science 2019-09-11 Mehdi Tarhani , Sanjib Sarkar , Morad Khosravi Eghbal , Mehdi Shadaram

This paper studies decision-making and statistical inference for two-sided matching markets via matrix completion. In contrast to the independent sampling assumed in classical matrix completion literature, the observed entries, which arise…

Methodology · Statistics 2025-10-31 Congyuan Duan , Wanteng Ma , Dong Xia , Kan Xu