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Different classes of communication network topologies and their representation in the form of adjacency matrix and its eigenvalues are presented. A self-organizing feature map neural network is used to map different classes of communication…

Neural and Evolutionary Computing · Computer Science 2007-05-23 W. Ali , R. J. Mondragon , F. Alavi

The leaves of angiosperms contain highly complex venation networks consisting of recursively nested, hierarchically organized loops. We describe a new phenotypic trait of reticulate vascular networks based on the topology of the nested…

Quantitative Methods · Quantitative Biology 2016-06-23 Henrik Ronellenfitsch , Jana Lasser , Douglas C. Daly , Eleni Katifori

A common feature of biological networks is the geometric property of self-similarity. Molecular regulatory networks through to circulatory systems, nervous systems, social systems and ecological trophic networks, show self-similar…

Molecular Networks · Quantitative Biology 2012-03-09 Simon DeDeo , David C. Krakauer

The use of complex networks as a modern approach to understanding the world and its dynamics is well-established in literature. The adjacency matrix, which provides a one-to-one representation of a complex network, can also yield several…

Social and Information Networks · Computer Science 2023-01-23 Mariane B. Neiva , Odemir M. Bruno

The topological (or graph) structures of real-world networks are known to be predictive of multiple dynamic properties of the networks. Conventionally, a graph structure is represented using an adjacency matrix or a set of hand-crafted…

Social and Information Networks · Computer Science 2016-10-21 Cheng Li , Xiaoxiao Guo , Qiaozhu Mei

Visualization of the adjacency matrix enables us to capture macroscopic features of a network when the matrix elements are aligned properly. Community structure, a network consisting of several densely connected components, is a…

Physics and Society · Physics 2023-07-11 Masaki Ochi , Tatsuro Kawamoto

The topological information of a network can be retrieved equivalently from its complement consisting of the same nodes but complementary edges. Hence the partition of a network into certain substructures based on given criteria should be…

Physics and Society · Physics 2009-08-07 Jiao Wang , C. -H. Lai

Relations between discrete quantities such as people, genes, or streets can be described by networks, which consist of nodes that are connected by edges. Network analysis aims to identify important nodes in a network and to uncover…

Numerical Analysis · Mathematics 2021-09-21 A. Concas , S. Noschese , L. Reichel , G. Rodriguez

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

Social and Information Networks · Computer Science 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

The widespread relevance of complex networks is a valuable tool in the analysis of a broad range of systems. There is a demand for tools which enable the extraction of meaningful information and allow the comparison between different…

Physics and Society · Physics 2011-03-30 Kathryn Cooper , Mauricio Barahona

Characterizing the structural properties of neural networks is crucial yet poorly understood, and there are no well-established similarity measures between networks. In this work, we observe that neural networks can be represented as…

Machine Learning · Computer Science 2021-06-01 David Pérez-Fernández , Asier Gutiérrez-Fandiño , Jordi Armengol-Estapé , Marta Villegas

We consider a crucial aspect of self-organization of a sensor network consisting of a large set of simple sensor nodes with no location hardware and only very limited communication range. After having been distributed randomly in a given…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Alexander Kroeller , Dennis Pfisterer , Stefan Fischer , Carsten Buschmann

Self-Organizing Map (SOM) is a neural network model which is used to obtain a topology-preserving mapping from the (usually high dimensional) input/feature space to an output/map space of fewer dimensions (usually two or three in order to…

Artificial Intelligence · Computer Science 2016-05-20 Gerasimos Spanakis , Gerhard Weiss

In network science, researchers often use mutual information to understand the difference between network partitions produced by community detection methods. Here we extend the use of mutual information to covers, that is, the cases where a…

Mathematical Physics · Physics 2012-02-03 Alcides Viamontes Esquivel , Martin Rosvall

Network (or Graph) Alignment Algorithms aims to reveal structural similarities among graphs. In particular Local Network Alignment Algorithms (LNAs) finds local regions of similarity among two or more networks. Such algorithms are in…

Social and Information Networks · Computer Science 2020-08-12 Pietro Hiram Guzzi

Real-world networks are often complex and large with millions of nodes, posing a great challenge for analysts to quickly see the big picture for more productive subsequent analysis. We aim at facilitating exploration of node-attributed…

Social and Information Networks · Computer Science 2015-12-21 Jia Wang , Kevin Chen-Chuan Chang , Hari Sundaram

This work investigates and compares the performance of node-link diagrams, adjacency matrices, and bipartite layouts for visualizing networks. In a crowd-sourced user study (n = 150), we measure the task accuracy and completion time of the…

Human-Computer Interaction · Computer Science 2022-08-10 Moataz Abdelaal , Nathan D. Schiele , Katrin Angerbauer , Kuno Kurzhals , Michael Sedlmair , Daniel Weiskopf

Many data sets, crucial for today's applications, consist essentially of enormous networks, containing millions or even billions of elements. Having the possibility of visualizing such networks is of paramount importance. We propose an…

Data Structures and Algorithms · Computer Science 2023-07-25 Giuseppe Di Battista , Fabrizio Grosso , Silvia Montorselli , Maurizio Patrignani

A simple but efficient spectral approach for analyzing the community structure of complex networks is introduced. It works the same way for all types of networks, by spectrally splitting the adjacency matrix into a "unipartite" and a…

Physics and Society · Physics 2016-02-05 Bogdan Danila

Complex networks have been characterised by their specific connectivity patterns (network motifs), but their building blocks can also be identified and described by node-motifs---a combination of local network features. One technique to…

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