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A locating-dominating set in a graph G is a subset of vertices representing "detectors" which can locate an "intruder" given that each detector covers its closed neighborhood and can distinguish its own location from its neighbors. We…

Combinatorics · Mathematics 2022-09-13 Devin Jean , Suk Seo

This paper addresses the challenges of optimally placing a finite number of sensors to detect Poisson-distributed targets in a bounded domain. We seek to rigorously account for uncertainty in the target arrival model throughout the problem.…

Robotics · Computer Science 2023-07-11 Mingyu Kim , Harun Yetkin , Daniel J. Stilwell , Jorge Jimenez , Saurav Shrestha , Nina Stark

Networked discrete dynamical systems are often used to model the spread of contagions and decision-making by agents in coordination games. Fixed points of such dynamical systems represent configurations to which the system converges. In the…

Social and Information Networks · Computer Science 2024-04-02 Zirou Qiu , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

A minimum dominating set for a digraph (directed graph) is a smallest set of vertices such that each vertex either belongs to this set or has at least one parent vertex in this set. We solve this hard combinatorial optimization problem…

Physics and Society · Physics 2016-02-17 Yusupjan Habibulla , Jin-Hua Zhao , Hai-Jun Zhou

In this work, we develop a distributed source routing algorithm for topology discovery suitable for ISP transport networks, that is however inspired by opportunistic algorithms used in ad hoc wireless networks. We propose a plug-and-play…

Networking and Internet Architecture · Computer Science 2011-05-02 Christophe Betoule , Thomas Bonald , Remi Clavier , Dario Rossi , Giuseppe Rossini , Gilles Thouenon

A fundamental problem for overlay networks is to safely exclude leaving nodes, i.e., the nodes requesting to leave the overlay network are excluded from it without affecting its connectivity. To rigorously study self-tabilizing solutions to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-14 Christian Scheideler , Alexander Setzer

We present a novel algorithm for dynamic routing with dedicated path protection which, as the presented simulation results suggest, can be efficient and exact. We present the algorithm in the setting of optical networks, but it should be…

Networking and Internet Architecture · Computer Science 2021-09-22 Ireneusz Szcześniak , Ireneusz Olszewski , Bożena Woźna-Szcześniak

Electrifying demand-responsive transport systems need to plan the charging infrastructure carefully, considering the trade-offs of charging efficiency and charging infrastructure costs. Earlier studies assume a fully electrified fleet and…

Optimization and Control · Mathematics 2025-12-18 Haruko Nakao , Tai-Yu Ma , Richard D. Connors , Francesco Viti

This paper presents a distributed resource allocation algorithm to jointly optimize the power allocation, channel allocation and relay selection for decode-and-forward (DF) relay networks with a large number of sources, relays, and…

Information Theory · Computer Science 2015-03-19 Yin Sun , Zhoujia Mao , Xiaofeng Zhong , Yuanzhang Xiao , Shidong Zhou , Ness B. Shroff

The dominating set problem has many practical applications but is well-known to be NP-hard. Therefore, there is a need for efficient approximation algorithms, especially in applications such as ad hoc wireless networks. Most distributed…

Physics and Society · Physics 2023-05-16 Hunter Rehm , Robert Kassouf-Short , Puck Rombach

Battery electric freight trains are crucial for decarbonization by providing zero-emission transportation alternatives. The proper adoption of battery electric freight trains depends on an efficient battery electrification strategy,…

Computational Engineering, Finance, and Science · Computer Science 2025-09-15 Jia Guo , Elnaz Irannezhad

We study the problem of servicing a set of ride requests by dispatching a set of shared vehicles, which is faced by ridesharing companies such as Uber and Lyft. Solving this problem at a large scale might be crucial in the future for…

Data Structures and Algorithms · Computer Science 2021-06-21 Valentin Buchhold , Peter Sanders , Dorothea Wagner

In order to increase the penetration of electric vehicles, a network of fast charging stations that can provide drivers with a certain level of quality of service (QoS) is needed. However, given the strain that such a network can exert on…

Optimization and Control · Mathematics 2014-06-20 I. Safak Bayram , George Michailidis , Michael Devetsikiotis , Fabrizio Granelli

Estimating the reachable set of a dynamical system is a fundamental problem in control theory, particularly when control inputs are bounded. Direct simulation using randomly sampled admissible controls often leads to trajectories that…

Optimization and Control · Mathematics 2025-11-20 Karthik Elamvazhuthi , Sachin Shivakumar

Domination is the fastest-growing field within graph theory with a profound diversity and impact in real-world applications, such as the recent breakthrough approach that identifies optimized subsets of proteins enriched with cancer-related…

Physics and Society · Physics 2016-01-08 Jose C. Nacher , Tomoshiro Ochiai

Logistic service providers increasingly focus on two-echelon distribution systems to efficiently manage thousands of deliveries in urban environments. Effectively operating such systems requires designing cost-efficient delivery networks…

Optimization and Control · Mathematics 2025-02-13 Banu Ulusoy Dereli , Gerhard Hiermann , Maximilian Schiffer

Modern data centers contain thousands of servers making them major consumers of electricity. To minimize their environmental impact, it is critical that we use their resources efficiently. In this paper we study how to discover the optimal…

Neural and Evolutionary Computing · Computer Science 2025-12-18 Peili Mao , Joseph Billingsley , Wang Miao , Geyong Mi , Ke Li

We consider a large random network, in which the performance of a node depends upon that of its neighbours and some external random influence factors. This results in random vector valued fixed-point (FP) equations in large dimensional…

Probability · Mathematics 2022-12-14 Indrajit Saha , Veeraruna Kavitha

This paper examines the question of finding feasible points to discrete-time optimal control problems. The optimization problem of finding a feasible trajectory is transcribed to an unconstrained optimal control problem. An efficient…

Optimization and Control · Mathematics 2024-07-08 David Kiessling , Katrin Baumgärtner , Jonathan Frey , Wilm Decré , Jan Swevers , Moritz Diehl

Performance and reliability of content access in mobile networks is conditioned by the number and location of content replicas deployed at the network nodes. Facility location theory has been the traditional, centralized approach to study…

Networking and Internet Architecture · Computer Science 2009-09-11 Chi-Anh La , Pietro Michiardi , Claudio Casetti , Carla-Fabiana Chiasserini , Marco Fiore