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We propose and analyze a graph model to study the connectivity of interdependent networks. Two interdependent networks of arbitrary topologies are modeled as two graphs, where every node in one graph is supported by supply nodes in the…

Discrete Mathematics · Computer Science 2018-09-10 Jianan Zhang , Eytan Modiano

A standard approach to reduce the complexity of very large networks is to group together sets of nodes into clusters according to some criterion which reflects certain structural properties of the network. Beyond the well-known modularity…

Combinatorics · Mathematics 2018-02-23 Ricardo Riaza

The problem of real-time processing is one of the most challenging current issues in computer sciences. Because of the large amount of data to be treated in a limited period of time, parallel and distributed systems are required, whose…

Physics and Society · Physics 2007-05-23 Gonzalo Travieso , Luciano da Fontoura Costa

The problem of designing policies for in-network function computation with minimum energy consumption subject to a latency constraint is considered. The scaling behavior of the energy consumption under the latency constraint is analyzed for…

Networking and Internet Architecture · Computer Science 2016-11-17 Paul Balister , Béla Bollobás , Animashree Anandkumar , Alan Willsky

Many complex networks demonstrate a phenomenon of striking degree correlations, i.e., a node tends to link to other nodes with similar (or dissimilar) degrees. From the perspective of degree correlations, this paper attempts to characterize…

Physics and Society · Physics 2014-10-21 Bin Jiang , Yingying Duan , Feng Lu , Tinghong Yang , Jing Zhao

Dimensionality reduction methods, also known as projections, are frequently used for exploring multidimensional data in machine learning, data science, and information visualization. Among these, t-SNE and its variants have become very…

Machine Learning · Computer Science 2019-02-22 Mateus Espadoto , Nina S. T. Hirata , Alexandru C. Telea

Extreme-scale data centers are the backbone of next-generation computing, enabling breakthroughs in science, artificial intelligence, and global innovation through unprecedented processing power and scalability. This work examines…

Networking and Internet Architecture · Computer Science 2026-05-27 Alejandro Cano , Cristina Brinza , Cristóbal Camarero , Carmen Martínez , Ramón Beivide

The reliability of a network is an important parameter to consider when building a network. Different characteristics of the network can become unreliable over time or from other outside forces. In a simple setting, we model a network as a…

Combinatorics · Mathematics 2021-07-26 Ashley Armbruster , Jieqi Di , Nicholas Hanson , Nathan Shank

We consider a cost sharing problem to connect all nodes in a weighted undirected graph, where the weight of each edge represents the cost to use the edge for the connectivity and the cost has to be shared among all connected nodes. There is…

Computer Science and Game Theory · Computer Science 2023-11-16 Tianyi Zhang , Dengji Zhao , Junyu Zhang , Sizhe Gu

Ad-hoc wireless networks are of increasing importance in communication and are frequently constrained by energy use. Here we propose a distributed, non-hierarchical adaptive method using preferential detachment for adjusting node…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 May Lim , Dan Braha , Sanith Wijesinghe , Stephenson Tucker , Yaneer Bar-Yam

Recent progress in network topology modeling [1], [2] has shown that it is possible to create smaller-scale replicas of large complex networks, like the Internet, while simultaneously preserving several important topological properties.…

Networking and Internet Architecture · Computer Science 2015-08-18 Constantinos Psomas , Fragkiskos Papadopoulos

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

Continued cost- and power-efficient capacity scaling in optical networks is imperative to keep pace with ever-increasing traffic demands. In this paper, we investigate multi-wavelength transponders as a potential way forward. Suitable…

Networking and Internet Architecture · Computer Science 2023-05-15 Jasper Müller , Ognjen Jovanovic , Tobias Fehenberger , Gabriele Di Rosa , Jörg-Peter Elbers , Carmen Mas-Machuca

A deterministic method for synthesizing the interconnect topologies optimized for the required properties is proposed. The method is based on the original description of graphs by projections, on establishing the bijective correspondence of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-30 V. A. Melent'ev

In several applications in distributed systems, an important design criterion is ensuring that the network is sparse, i.e., does not contain too many edges, while achieving reliable connectivity. Sparsity ensures communication overhead…

Social and Information Networks · Computer Science 2025-08-19 Mansi Sood , Eray Can Elumar , Osman Yagan

In unstructured peer-to-peer (P2P) networks, the overlay topology (or connectivity graph) among peers is a crucial component in addition to the peer/data organization and search. Topological characteristics have profound impact on the…

Networking and Internet Architecture · Computer Science 2007-05-23 Hasan Guclu , Murat Yuksel

Data centers are becoming increasingly popular for their flexibility and processing capabilities in the modern computing environment. They are managed by a single entity (administrator) and allow dynamic resource provisioning, performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-06 Brian Lebiednik , Aman Mangal , Niharika Tiwari

Networks of superconducting optoelectronic neurons are investigated for their near-term technological potential and long-term physical limitations. Networks with short average path length, high clustering coefficient, and power-law degree…

Neural and Evolutionary Computing · Computer Science 2018-05-17 Jeffrey M. Shainline , Jeff Chiles , Sonia M. Buckley , Adam N. McCaughan , Richard P. Mirin , Sae Woo Nam

The construction of large-scale, low-latency networks becomes difficult as the number of nodes increases. In general, the way to construct a theoretically optimal solution is unknown. However, it is known that some methods can construct…

Combinatorics · Mathematics 2016-09-01 Ryosuke Mizuno , Yawara Ishida

Computer networks are the foundation of modern digital infrastructure, facilitating global communication and data exchange. As demand for reliable high-bandwidth connectivity grows, advanced network modeling techniques become increasingly…