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We give polynomial time logarithmic approximation guarantees for the budget minimization, as well as for the profit maximization versions of minimum spanning tree interdiction. In this problem, the goal is to remove some edges of an…

Data Structures and Algorithms · Computer Science 2025-07-28 Rafail Ostrovsky , Yuval Rabani , Yoav Siman Tov

We address the fundamental network design problem of constructing approximate minimum spanners. Our contributions are for the distributed setting, providing both algorithmic and hardness results. Our main hardness result shows that an…

Data Structures and Algorithms · Computer Science 2018-02-12 Keren Censor-Hillel , Michal Dory

Autonomous microgrid planning is a Mixed-Integer Non Convex decision problem that requires to consider investments in both distribution and generation capacity and represents significant computation challenges. We proposed in a previous…

Optimization and Control · Mathematics 2017-03-21 Benoît Martin , François Glineur , Emmanuel De Jaeger

We introduce the problem of optimal congestion control in cache networks, whereby \emph{both} rate allocations and content placements are optimized \emph{jointly}. We formulate this as a maximization problem with non-convex constraints, and…

Networking and Internet Architecture · Computer Science 2021-02-15 Khashayar Kamran , Armin Moharrer , Stratis Ioannidis , Edmund Yeh

In modern network design, "efficiency" is often conflated with raw performance metrics like latency or aggregate throughput. This paper proposes a resource-centric definition of efficiency, isolating the hardware cost required to maintain a…

Networking and Internet Architecture · Computer Science 2026-01-28 Jia Xu Wei , Wei Wei

Consider a graph $G = (V, E)$ and some commuters, each specified by a tuple $(u, v, b)$ consisting of two nodes in the graph $u, v \in V$ and a non-negative real number $b$, specifying their budget. The goal is to find a pricing function…

Data Structures and Algorithms · Computer Science 2025-02-18 Andrei Constantinescu , Andrzej Turko , Roger Wattenhofer

Transportation networks frequently employ hub-and-spoke network architectures to route flows between many origin and destination pairs. Hub facilities work as switching points for flows in large networks. In this study, we deal with a…

Discrete Mathematics · Computer Science 2018-03-19 Yuko Kuroki , Tomomi Matsui

In the vertex connectivity survivable network design problem we are given an undirected graph G = (V,E) and connectivity requirement r(u,v) for each pair of vertices u,v. We are also given a cost function on the set of edges. Our goal is to…

Data Structures and Algorithms · Computer Science 2010-04-09 Pushkar Tripathi

One of the most important and well-studied settings for network design is edge-connectivity requirements. This encompasses uniform demands such as the Minimum $k$-Edge-Connected Spanning Subgraph problem as well as nonuniform demands such…

Data Structures and Algorithms · Computer Science 2023-10-04 Michael Dinitz , Ama Koranteng , Guy Kortsarz , Zeev Nutov

We consider the problem of optimally compressing and caching data across a communication network. Given the data generated at edge nodes and a routing path, our goal is to determine the optimal data compression ratios and caching decisions…

Networking and Internet Architecture · Computer Science 2018-01-25 Jian Li , Faheem Zafari , Don Towsley , Kin K. Leung , Ananthram Swami

In the classical Node-Disjoint Paths (NDP) problem, the input consists of an undirected $n$-vertex graph $G$, and a collection $\mathcal{M}=\{(s_1,t_1),\ldots,(s_k,t_k)\}$ of pairs of its vertices, called source-destination, or demand,…

Data Structures and Algorithms · Computer Science 2016-11-17 Julia Chuzhoy , David H. K. Kim , Rachit Nimavat

Overheads incurred by routing protocols diminish the capacity available for relaying useful data in a mobile wireless ad hoc network. Discovering lower bounds on the amount of protocol overhead incurred for routing data packets is important…

Information Theory · Computer Science 2007-07-13 Nabhendra Bisnik , Alhussein A. Abouzeid

In order to investigate the routing aspects of small-world networks, Kleinberg proposes a network model based on a $d$-dimensional lattice with long-range links chosen at random according to the $d$-harmonic distribution. Kleinberg shows…

Discrete Mathematics · Computer Science 2007-05-23 Jianyang Zeng , Wen-Jing Hsu , Jiangdian Wang

We show that the capacity of a complex network that models a city street grid to support congested traffic can be optimized by using routes that collectively minimize the maximum ratio of betweenness to capacity in any link. Networks with a…

Physics and Society · Physics 2011-11-24 Bogdan Danila , Yudong Sun , Kevin E. Bassler

Stochastic network design is a general framework for optimizing network connectivity. It has several applications in computational sustainability including spatial conservation planning, pre-disaster network preparation, and river network…

Artificial Intelligence · Computer Science 2016-12-02 Xiaojian Wu , Akshat Kumar , Daniel Sheldon , Shlomo Zilberstein

We study the problem of wireless sensor network design by deploying a minimum number of additional relay nodes (to minimize network cost) at a subset of given potential relay locations, in order to convey the data from already existing…

Networking and Internet Architecture · Computer Science 2014-04-23 Abhijit Bhattacharya , Anurag Kumar

In network congestion games, system operators often utilize latency models, estimated from real-world traffic flow and travel time data, to design monetary incentives which steer equilibrium user behaviors towards lowering system-wide…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Chih-Yuan Chiu , Sarah H. Q. Li , Bryce L. Ferguson

Distributed optimization algorithms are frequently faced with solving sub-problems on disjoint connected parts of a network. Unfortunately, the diameter of these parts can be significantly larger than the diameter of the underlying network,…

Data Structures and Algorithms · Computer Science 2020-08-25 Bernhard Haeupler , Taisuke Izumi , Goran Zuzic

We study a problem of fundamental importance to ICNs, namely, minimizing routing costs by jointly optimizing caching and routing decisions over an arbitrary network topology. We consider both source routing and hop-by-hop routing settings.…

Networking and Internet Architecture · Computer Science 2017-08-22 Stratis Ioannidis , Edmund Yeh

We study dynamic network flows with uncertain input data under a robust optimization perspective. In the dynamic maximum flow problem, the goal is to maximize the flow reaching the sink within a given time horizon $T$, while flow requires a…

Discrete Mathematics · Computer Science 2018-05-07 Corinna Gottschalk , Arie M. C. A. Koster , Frauke Liers , Britta Peis , Daniel Schmand , Andreas Wierz