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In this work, we use the theory of spatial networks to analyze galaxy distributions. The aim is to develop new approaches to study the spatial galaxy environment properties by means of the network parameters. We investigate how each of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-03 Evelise Gausmann , Fabricio Ferrari

Large-scale human social network structure is typically inferred from digital trace samples of online social media platforms or mobile communication data. Instead, here we investigate the social network structure of a complete population,…

Physics and Society · Physics 2022-11-29 Eszter Bokányi , Eelke M. Heemskerk , Frank W. Takes

We have analysed some structural properties of scale-free networks with the same degree distribution. Departing from a degree distribution obtained from the Barab\'asi-Albert (BA) algorithm, networks were generated using four additional…

Social and Information Networks · Computer Science 2013-06-04 José H. H. Grisi-Filho , Raul Ossada , Fernando Ferreira , Marcos Amaku

The structural human connectome (i.e.\ the network of fiber connections in the brain) can be analyzed at ever finer spatial resolution thanks to advances in neuroimaging. Here we analyze several large data sets for the human brain network…

Neurons and Cognition · Quantitative Biology 2016-06-08 Michael T. Gastner , Géza Ódor

We study the tailoring of structured random graph ensembles to real networks, with the objective of generating precise and practical mathematical tools for quantifying and comparing network topologies macroscopically, beyond the level of…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. Annibale , A. C. C. Coolen , L. P. Fernandes , F. Fraternali , J. Kleinjung

Looking to overcome the limitations of traditional networks, the network science community has lately given much attention to the so-called higher-order networks, where group interactions are modeled alongside pairwise ones. While degree…

Physics and Society · Physics 2022-07-11 Demival Vasques Filho

While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

Statistical Mechanics · Physics 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva

We propose novel recommendation algorithms to improve fairness in networks. Fairness is measured by how close different nodes are to influencers in the network. To allow for easy comparison of fairness across graphs of different sizes, our…

Social and Information Networks · Computer Science 2022-01-11 Naisha Agarwal

Retrieving gene functional networks from knowledge databases presents a challenge due to the mismatch between disease networks and subtype-specific variations. Current solutions, including statistical and deep learning methods, often fail…

Machine Learning · Computer Science 2025-02-25 Ziwei Yang , Zheng Chen , Xin Liu , Rikuto Kotoge , Peng Chen , Yasuko Matsubara , Yasushi Sakurai , Jimeng Sun

Due to the ever rising importance of the network paradigm across several areas of science, comparing and classifying graphs represent essential steps in the networks analysis of complex systems. Both tasks have been recently tackled via…

The random graph of Erdos and Renyi is one of the oldest and best studied models of a network, and possesses the considerable advantage of being exactly solvable for many of its average properties. However, as a model of real-world networks…

Statistical Mechanics · Physics 2007-05-23 M. E. J. Newman

Networks with a given degree distribution may be very resilient to one type of failure or attack but not to another. The goal of this work is to determine network design guidelines which maximize the robustness of networks to both random…

Other Condensed Matter · Physics 2009-11-10 G. Paul , T. Tanizawa , S. Havlin , H. E. Stanley

Complex networks can be understood as graphs whose connectivity deviates from those of regular or near-regular graphs, which are understood as being `simple'. While a great deal of the attention so far dedicated to complex networks has been…

Data Analysis, Statistics and Probability · Physics 2008-08-29 Luciano da Fontoura Costa , Francisco A. Rodrigues

Understanding the structure and dynamics of biological networks is one of the important challenges in system biology. In addition, increasing amount of experimental data in biological networks necessitate the use of efficient methods to…

Artificial Intelligence · Computer Science 2012-07-17 Mohammadreza Keyvanpour , Fereshteh Azizani

Graphlets are induced subgraphs of a large network and are important for understanding and modeling complex networks. Despite their practical importance, graphlets have been severely limited to applications and domains with relatively small…

Social and Information Networks · Computer Science 2017-03-01 Ryan A. Rossi , Rong Zhou , Nesreen K. Ahmed

Many real life networks present an average path length logarithmic with the number of nodes and a degree distribution which follows a power law. Often these networks have also a modular and self-similar structure and, in some cases -…

Statistical Mechanics · Physics 2009-02-26 Alicia Miralles , Lichao Chen , Zhongzhi Zhang , Francesc Comellas

Network growth as described by the Duplication-Divergence model proposes a simple general idea for the evolution dynamics of natural networks. In particular it is an alternative to the well known Barab\'asi-Albert model when applied to…

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

Through detailed analysis of scores of publicly available data sets corresponding to a wide range of large-scale networks, from communication and road networks to various forms of social networks, we explore a little-studied geometric…

Physics and Society · Physics 2013-07-02 W. Sean Kennedy , Onuttom Narayan , Iraj Saniee

In order to advance the state of the art in graph learning algorithms, it is necessary to construct large real-world datasets. While there are many benchmark datasets for homogeneous graphs, only a few of them are available for…

Machine Learning · Computer Science 2022-03-16 Udesh Kumarasinghe , Fatih Deniz , Mohamed Nabeel