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The description of the Internet topology is an important open problem, recently tackled with the introduction of scale-free networks. In this paper we focus on the topological and dynamical properties of real Internet maps in a three years…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alexei Vazquez , Alessandro Vespignani

This work studies the throughput scaling laws of ad hoc wireless networks in the limit of a large number of nodes. A random connections model is assumed in which the channel connections between the nodes are drawn independently from a…

Information Theory · Computer Science 2016-11-18 Shengshan Cui , Alexander M. Haimovich , Oren Somekh , H. Vincent Poor , Shlomo Shamai

We provide an efficient algorithm for determining how a road network has evolved over time, given two snapshot instances from different dates. To allow for such determinations across different databases and even against hand drawn maps, we…

Data Structures and Algorithms · Computer Science 2016-09-26 M T Goodrich , Siddharth Gupta , Manuel R. Torres

The topology of a wireless multi-hop network can be controlled by varying the transmission power at each node. In this paper, we give a detailed analysis of a cone-based distributed topology control algorithm. This algorithm, introduced in…

Networking and Internet Architecture · Computer Science 2007-05-23 Erran L. Li , Joseph Y. Halpern , Paramvir Bahl , Yi-Min Wang , Roger Wattenhofer

The state-of-the-art topologies of datacenter networks are fixed, based on electrical switching technology, and by now, we understand their throughput and cost well. For the past years, researchers have been developing novel optical…

Networking and Internet Architecture · Computer Science 2024-02-15 Chen Griner , Chen Avin

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Bornholdt , Thimo Rohlf

Many real-world networks such as social networks consist of strategic agents. The topology of these networks often plays a crucial role in determining the ease and speed with which certain information driven tasks can be accomplished.…

Social and Information Networks · Computer Science 2017-07-03 Swapnil Dhamal , Y. Narahari

Graph connectivity is a fundamental combinatorial optimization problem that arises in many practical applications, where usually a spanning subgraph of a network is used for its operation. However, in the real world, links may fail…

Data Structures and Algorithms · Computer Science 2022-09-13 Dimitris Fotakis , Evangelia Gergatsouli , Charilaos Pipis , Miltiadis Stouras , Christos Tzamos

The aim of this paper is to rigorously study dynamics of Heterogeneously Coupled Maps (HCM). Such systems are determined by a network with heterogeneous degrees. Some nodes, called hubs, are very well connected while most nodes interact…

Dynamical Systems · Mathematics 2017-12-20 Tiago Pereira , Sebastian van Strien , Matteo Tanzi

We study a problem of scheduling real-time traffic with hard delay constraints in an unreliable wireless channel. Packets arrive at a constant rate to the network and have to be delivered within a fixed number of slots in a fading wireless…

Networking and Internet Architecture · Computer Science 2013-12-19 Easwar Vivek Mangipudi , Venkatesh Ramaiyan

While branching network structures abound in nature, their objective analysis is more difficult than expected because existing quantitative methods often rely on the subjective judgment of branch structures. This problem is particularly…

Algebraic Topology · Mathematics 2024-02-13 Haruhisa Oda , Mayuko Kida , Yoichi Nakata , Hiroki Kurihara

Network systems consist of subsystems and their interconnections, and provide a powerful framework for analysis, modeling and control of complex systems. However, subsystems may have high-dimensional dynamics, and the amount and nature of…

Optimization and Control · Mathematics 2020-12-07 Xiaodong Cheng , Jacquelien M. A. Scherpen

Graph neural networks (GNNs) have been shown promising in improving the efficiency of learning communication policies by leveraging their permutation properties. Nonetheless, existing works design GNNs only for specific wireless policies,…

Signal Processing · Electrical Eng. & Systems 2023-08-22 Shengjie Liu , Jia Guo , Chenyang Yang

Nodes in contemporary radio networks often have multiple interfaces available for communication: WiFi, cellular, LoRa, Zigbee, etc. This motivates understanding both link and network configuration when multiple communication modalities with…

Signal Processing · Electrical Eng. & Systems 2025-01-10 Amna Gillani , Beatriz Lorenzo , Majid Ghaderi , Fikadu Dagefu , Dennis Goeckel

A family of graphs optimized as the topologies for supercomputer interconnection networks is proposed. The special needs of such network topologies, minimal diameter and mean path length, are met by special constructions of the weight…

Discrete Mathematics · Computer Science 2017-06-30 Alexandre F. Ramos , Yuefan Deng

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

In the study of dynamical systems on networks/graphs, a key theme is how the network topology influences stability for steady states or synchronized states. Ideally, one would like to derive conditions for stability or instability that…

Dynamical Systems · Mathematics 2020-07-01 Raffaella Mulas , Christian Kuehn , Jürgen Jost

The functional features of spatial networks depend upon a non-trivial relationship between the topological and physical structure. Here, we explore that relationship for spatial networks with radial symmetry and disordered fractal…

Materials Science · Physics 2023-11-01 A. C. Flores-Ortega , J. R. Nicolás-Carlock , J. L. Carrillo-Estrada

This paper studies the design of self-adjusting networks whose topology dynamically adapts to the workload, in an online and demand-aware manner. This problem is motivated by emerging optical technologies which allow to reconfigure the…

Networking and Internet Architecture · Computer Science 2019-04-09 Chen Avin , Stefan Schmid

Dynamically changing graphs are used in many applications of graph algorithms. The scope of these graphs are in graphics, communication networks and in VLSI designs where graphs are subjected to change, such as addition and deletion of…

Data Structures and Algorithms · Computer Science 2012-10-01 Megha Tyagi , Deepak Garg
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