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Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

Neurons and Cognition · Quantitative Biology 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

A mathematical topology with matrix is a natural representation of a coding relational structure that is found in many fields of the world. Matrices are very important in computation of real applications, s ce matrices are easy saved in…

Information Theory · Computer Science 2019-09-17 Bing Yao , Meimei Zhao , Xiaohui Zhang , Yarong Mu , Yirong Sun , Mingjun Zhang , Sihua Yang , Fei Ma , Jing Su , Xiaomin Wang , Hongyu Wang , Hui Sun

The coarsest approximation of the structure of a complex network, such as the Internet, is a simple undirected unweighted graph. This approximation, however, loses too much detail. In reality, objects represented by vertices and edges in…

Networking and Internet Architecture · Computer Science 2009-11-02 Xenofontas Dimitropoulos , Dmitri Krioukov , Amin Vahdat , George Riley

The understanding of the immense and intricate topological structure of the World Wide Web (WWW) is a major scientific and technological challenge. This has been tackled recently by characterizing the properties of its representative graphs…

Networking and Internet Architecture · Computer Science 2008-01-23 M. Angeles Serrano , Ana Maguitman , Marian Boguna , Santo Fortunato , Alessandro Vespignani

As network research becomes more sophisticated, it is more common than ever for researchers to find themselves not studying a single network but needing to analyze sets of networks. An important task when working with sets of networks is…

Social and Information Networks · Computer Science 2019-07-26 James P. Bagrow , Erik M. Bollt

Complex networks have been applied to model numerous interactive nonlinear systems in the real world. Knowledge about network topology is crucial for understanding the function, performance and evolution of complex systems. In the last few…

Physics and Society · Physics 2009-11-13 Jing Zhao , Lin Tao , Hong Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

We focus on designing Peer-to-Peer (P2P) networks that enable efficient communication. Over the last two decades, there has been substantial algorithmic research on distributed protocols for building P2P networks with various desirable…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-25 Khalid Hourani , William K. Moses , Gopal Pandurangan

Topology Control (TC) aims at tuning the topology of highly dynamic networks to provide better control over network resources and to increase the efficiency of communication. Recently, many TC protocols have been proposed. The protocols are…

Networking and Internet Architecture · Computer Science 2007-06-11 Matthias R. Brust , Steffen Rothkugel

With increasingly ambitious initiatives such as GENI and FIND that seek to design the future Internet, it becomes imperative to define the characteristics of robust topologies, and build future networks optimized for robustness. This paper…

Networking and Internet Architecture · Computer Science 2009-09-25 Ali Sydney , Caterina Scoglio , Mina Youssef , Phillip Schumm

The modern era always looks into advancements in technology. Design and topology of interconnection networks play a mutual role in development of technology. Analysing the topological properties and characteristics of an interconnection…

Networking and Internet Architecture · Computer Science 2024-11-08 Parvez Ali , Annmaria Baby , D. Antony Xavier , Eddith Sarah Varghese , Theertha Nair A. , Haidar Ali

The graph theoretic properties of the clustering coefficient, characteristic (or average) path length, global and local efficiency, provide valuable information regarding the structure of a graph. These four properties have applications to…

Combinatorics · Mathematics 2017-09-25 Alexander Strang , Oliver Haynes , Nathan D. Cahill , Darren A. Narayan

Neural networks for structured data like graphs have been studied extensively in recent years. To date, the bulk of research activity has focused mainly on static graphs. However, most real-world networks are dynamic since their topology…

Machine Learning · Computer Science 2020-03-03 Changmin Wu , Giannis Nikolentzos , Michalis Vazirgiannis

The fundamental concept of applying the system methodology to network analysis declares that network architecture should take into account services and applications which this network provides and supports. This work introduces a formal…

Networking and Internet Architecture · Computer Science 2015-09-03 Andrey A. Shchurov

Embedding static graphs in low-dimensional vector spaces plays a key role in network analytics and inference, supporting applications like node classification, link prediction, and graph visualization. However, many real-world networks…

Machine Learning · Computer Science 2021-07-23 Claudio D. T. Barros , Matheus R. F. Mendonça , Alex B. Vieira , Artur Ziviani

Topological correctness plays a critical role in many image segmentation tasks, yet most networks are trained using pixel-wise loss functions, such as Dice, neglecting topological accuracy. Existing topology-aware methods often lack robust…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Laurin Lux , Alexander H. Berger , Alexander Weers , Nico Stucki , Daniel Rueckert , Ulrich Bauer , Johannes C. Paetzold

An intense activity is nowadays devoted to the definition of models capturing the properties of complex networks. Among the most promising approaches, it has been proposed to model these graphs via their clique incidence bipartite graphs.…

Discrete Mathematics · Computer Science 2021-03-09 Matthieu Latapy , Thi Ha Duong Phan , Christophe Crespelle , Thanh Qui Nguyen

This thesis is a compendium of research which brings together ideas from the fields of Complex Networks and Computational Neuroscience to address two questions regarding neural systems: 1) How the activity of neurons, via synaptic changes,…

Neurons and Cognition · Quantitative Biology 2013-02-19 Samuel Johnson

We currently witness the emergence of interesting new network topologies optimized towards the traffic matrices they serve, such as demand-aware datacenter interconnects (e.g., ProjecToR) and demand-aware overlay networks (e.g., SplayNets).…

Networking and Internet Architecture · Computer Science 2017-05-23 Chen Avin , Alexandr Hercules , Andreas Loukas , Stefan Schmid

This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node signals. In particular, we are interested in…

Optimization and Control · Mathematics 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Aspects of compatibility of topologies of parallel computing systems and tasks are investigated. The introduction of appropriate indexes based on the original topological model of parallel computations and on the nontraditional description…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-24 A. F. Zadorozhny , V. A. Melent'ev