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Network optimization problems represent large combinatorial search spaces that grow exponentially with network size, making them computationally intensive to solve. This paper addresses the latency-resilient Layer 3 routing optimization…

Emerging Technologies · Computer Science 2026-02-05 Maher Harb , Nader Foroughi , Matt Stehman , Bob Lutz , Nati Erez , Erik Garcell

The maximum/minimum bisection problems are, given an edge-weighted graph, to find a bipartition of the vertex set into two sets whose sizes differ by at most one, such that the total weight of edges between the two sets is…

Data Structures and Algorithms · Computer Science 2020-09-17 Tesshu Hanaka , Yasuaki Kobayashi , Taiga Sone

The Restricted Shortest Path (RSP) problem, also known as the Delay-Constrained Least-Cost (DCLC) problem, is an NP-hard bicriteria optimization problem on graphs with $n$ vertices and $m$ edges. In a graph where each edge is assigned a…

Data Structures and Algorithms · Computer Science 2019-11-05 David Holzmüller

There has been significant interest in the networking community on the impact of cascade effects on the diffusion of networking technology upgrades in the Internet. Thinking of the global Internet as a graph, where each node represents an…

Social and Information Networks · Computer Science 2015-03-20 Sharon Goldberg , Zhenming Liu

We study a delay-sensitive information flow problem where a source streams information to a sink over a directed graph G(V,E) at a fixed rate R possibly using multiple paths to minimize the maximum end-to-end delay, denoted as the…

Data Structures and Algorithms · Computer Science 2018-06-27 Qingyu Liu , Lei Deng , Haibo Zeng , Minghua Chen

We introduce a novel network-adaptive algorithm that is suitable for alleviating network packet losses for low-latency interactive communications between a source and a destination. Our network-adaptive algorithm estimates in real-time the…

Networking and Internet Architecture · Computer Science 2020-06-30 Salma Emara , Silas L. Fong , Baochun Li , Ashish Khisti , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

Network interdiction problems are combinatorial optimization problems involving two players: one aims to solve an optimization problem on a network, while the other seeks to modify the network to thwart the first player's objectives. Such…

Artificial Intelligence · Computer Science 2026-04-21 Lei Zhang , Zhiqian Chen , Chang-Tien Lu , Liang Zhao

With the tremendous increase of the Internet traffic, achieving the best performance with limited resources is becoming an extremely urgent problem. In order to address this concern, in this paper, we build an optimization problem which…

Physics and Society · Physics 2017-02-23 Li Rui , Xia Yongxiang , Tse K Chi

We develop multi-step gradient methods for network-constrained optimization of strongly convex functions with Lipschitz-continuous gradients. Given the topology of the underlying network and bounds on the Hessian of the objective function,…

Optimization and Control · Mathematics 2015-06-12 Euhanna Ghadimi , Iman Shames , Mikael Johansson

Thresholding--the pruning of nodes or edges based on their properties or weights--is an essential preprocessing tool for extracting interpretable structure from complex network data, yet existing methods face several key limitations.…

Social and Information Networks · Computer Science 2025-10-07 Adam Schroeder , Russell Funk , Jingyi Guan , Taylor Okonek , Lori Ziegelmeier

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

We present an optimal and efficient algorithm for finding a shortest path in an elastic optical network. The algorithm is an adaptation of the Dijkstra shortest path algorithm, where we take into account the spectrum continuity and…

Networking and Internet Architecture · Computer Science 2019-04-16 Ireneusz Szcześniak , Bożena Woźna-Szcześniak

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

In a multihop wireless network, wireless interference is crucial to the maximum multiflow (MMF) problem, which studies the maximum throughput between multiple pairs of sources and sinks. In this paper, we observe that network coding could…

Information Theory · Computer Science 2012-02-15 Jin-Yi Zhou , Shu-Tao Xia , Yong Jiang , Hai-Tao Zheng

Getting a labeling of vertices close to the structure of the graph has been proved to be of interest in many applications e.g., to follow smooth signals indexed by the vertices of the network. This question can be related to a graph…

Discrete Mathematics · Computer Science 2015-02-17 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

We revisit several maximization problems for geometric networks design under the non-crossing constraint, first studied by Alon, Rajagopalan and Suri (ACM Symposium on Computational Geometry, 1993). Given a set of $n$ points in the plane in…

Computational Geometry · Computer Science 2010-02-03 Adrian Dumitrescu , Csaba D. Tóth

This work investigates the maximum broadcast throughput and its achievability in multi-hop wireless networks with half-duplex node constraint. We allow the use of physical-layer network coding (PNC). Although the use of PNC for unicast has…

Information Theory · Computer Science 2013-08-06 Shen Feng , Soung C. Liew

This paper considers the problem of throughput optimal routing/scheduling in a multi-hop constrained queueing network with random connectivity whose special case includes opportunistic multi-hop wireless networks and input-queued switch…

Optimization and Control · Mathematics 2015-03-13 Mohammad Naghshvar , Hairuo Zhuang , Tara Javidi

We present a strongly polynomial-time algorithm to generate bandwidth optimal allgather/reduce-scatter on any network topology, with or without switches. Our algorithm constructs pipeline schedules achieving provably the best possible…

Networking and Internet Architecture · Computer Science 2023-06-02 Liangyu Zhao , Arvind Krishnamurthy

The problem of error correction in both coherent and noncoherent network coding is considered under an adversarial model. For coherent network coding, where knowledge of the network topology and network code is assumed at the source and…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang