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We study the minimization of ADMs (Add-Drop Multiplexers) in optical WDM bidirectional rings considering symmetric shortest path routing and all-to-all unitary requests. We precisely formulate the problem in terms of graph decompositions,…

Combinatorics · Mathematics 2009-11-03 Jean-Claude Bermond , Xavier Muñoz , Ignasi Sau Valls

We study grooming for two-period optical networks, a variation of the traffic grooming problem for WDM ring networks introduced by Colbourn, Quattrocchi, and Syrotiuk. In the two-period grooming problem, during the first period of time,…

The problem of minimizing the number of bidirectional SONET rings required to support a given traffic demand has been studied by several researchers. Here we study the related ``ring grooming problem'' of minimizing the number of add/drop…

Optimization and Control · Mathematics 2007-05-23 Timothy Y. Chow , Philip J. Lin

The advances in WDM technology lead to the great interest in traffic grooming problems. As traffic often changes from time to time, the problem of grooming dynamic traffic is of great practical value. In this paper, we discuss dynamic…

Networking and Internet Architecture · Computer Science 2008-04-20 Kun-hong Liu , Yong Xu , De-shuang Huang , Min Cheng

Traffic grooming is widely employed to reduce the number of ADM's and wavelengths. We consider the problem of grooming of dynamic traffic in WDM tree and star networks in this paper. To achieve better results, we used the bifurcation…

Networking and Internet Architecture · Computer Science 2010-03-05 Kun-hong Liu , Yong Xu , De-Shuang Huang

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

Systems of networked mobile robots, such as unmanned aerial or ground vehicles, will play important roles in future military and commercial applications. The communications for such systems will typically be over wireless links and may…

Networking and Internet Architecture · Computer Science 2011-09-01 Leenhapat Navaravong , John M. Shea , Eduardo L. Pasiliao , Gregory L. Barnette , Warren E. Dixon

Traditional wired data center networks (DCNs) suffer from cabling complexity, lack flexibility, and are limited by the speed of digital switches. In this paper, we alternatively develop a top-down traffic grooming (TG) approach to the…

Networking and Internet Architecture · Computer Science 2018-12-04 Abdulkadir Celik , Amer AlGhadhban , Basem Shihada , Mohamed-Slim Alouini

The Ring Loading Problem is an optimal routing problem arising in the planning of optical communication networks which use bidirectional SONET rings. In mathematical terms, it is an unsplittable multicommodity flow problem on undirected…

Discrete Mathematics · Computer Science 2014-08-20 Martin Skutella

Given an undirected graph G, the edge orientation problem asks for assigning a direction to each edge to convert G into a directed graph. The aim is to minimize the maximum out degree of a vertex in the resulting directed graph. This…

Data Structures and Algorithms · Computer Science 2024-04-23 H. Reinstädtler , C. Schulz , B. Uçar

Segment Routing is a recent network technology that helps optimizing network throughput by providing finer control over the routing paths. Instead of routing directly from a source to a target, packets are routed via intermediate waypoints.…

Computational Complexity · Computer Science 2025-01-08 Cristina Bazgan , Morgan Chopin , André Nichterlein , Camille Richer

The undirected degree/diameter and degree/girth problems and their directed analogues have been studied for many decades in the search for efficient network topologies. Recently such questions have received much attention in the setting of…

Combinatorics · Mathematics 2018-11-05 James Tuite , Grahame Erskine

We consider the problem of adding a fixed number of new edges to an undirected graph in order to minimize the diameter of the augmented graph, and under the constraint that the number of edges added for each vertex is bounded by an integer.…

Data Structures and Algorithms · Computer Science 2023-02-14 Florian Adriaens , Aristides Gionis

We consider the problem of scheduling communication on optical WDM (wavelength division multiplexing) networks using the light-trails technology. We seek to design scheduling algorithms such that the given transmission requests can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-30 Soumitra Pal , Abhiram Ranade

In [1], whether a target binary string s can be represented from a boolean formula with operands chosen from a set of binary strings W was studied. In this paper, we first examine selecting a maximum subset X from W, so that for any string…

Computational Complexity · Computer Science 2012-01-17 Peng Zhang

In communication field, an important issue is to group users and base stations to as many as possible subnetworks satisfying certain interference constraints. These problems are usually formulated as a graph partition problems which…

Combinatorics · Mathematics 2020-09-30 Chicheng Ma , Yucong Tang , Guanghui Wang , Guiying Yan , Bo Bai

For the problem of delivering a package from a source node to a destination node in a graph using a set of drones, we study the setting where the movements of each drone are restricted to a certain subgraph of the given graph. We consider…

Data Structures and Algorithms · Computer Science 2022-09-27 Thomas Erlebach , Kelin Luo , Frits C. R. Spieksma

This paper explores the problem of page migration in ring networks. A ring network is a connected graph, in which each node is connected with exactly two other nodes. In this problem, one of the nodes in a given network holds a page of size…

Data Structures and Algorithms · Computer Science 2016-12-06 Amanj Khorramian , Akira Matsubayashi

In the context of communication complexity, we explore protocols for graph coloring, focusing on the vertex and edge coloring problems in $n$-vertex graphs $G$ with a maximum degree $\Delta$. We consider a scenario where the edges of $G$…

Data Structures and Algorithms · Computer Science 2025-05-12 Yi-Jun Chang , Gopinath Mishra , Hung Thuan Nguyen , Farrel D Salim

While much of network design focuses mostly on cost (number or weight of edges), node degrees have also played an important role. They have traditionally either appeared as an objective, to minimize the maximum degree (e.g., the Minimum…

Data Structures and Algorithms · Computer Science 2023-02-23 Michael Dinitz , Guy Kortsarz , Shi Li
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