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We introduce a method that can be used to evolve the topology of a network in a way that preserves both the network's spectral as well as local structure. This method is quite versatile in the sense that it can be used to evolve a network's…

Adaptation and Self-Organizing Systems · Physics 2016-08-23 Leonid Bunimovich , Benjamin Webb

This paper focuses on developing an efficient algorithm for analyzing a directed network (graph) from a topological viewpoint. A prevalent technique for such topological analysis involves computation of homology groups and their…

Computational Geometry · Computer Science 2020-01-29 Tamal K. Dey , Tianqi Li , Yusu Wang

Subgraphs and cycles are often used to characterize the local properties of complex networks. Here we show that the subgraph structure of real networks is highly time dependent: as the network grows, the density of some subgraphs remains…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alexei Vazquez , Joao G. Oliveira , Albert-Laszlo Barabasi

Genome-wide protein-protein interaction (PPI) data are readily available thanks to recent breakthroughs in biotechnology. However, PPI networks of extant organisms are only snapshots of the network evolution. How to infer the whole…

Populations and Evolution · Quantitative Biology 2012-03-13 Si Li , Kwok Pui Choi , Taoyang Wu , Louxin Zhang

Research shows that gene duplication followed by either repurposing or removal of duplicated genes is an important contributor to evolution of gene and protein interaction networks. We aim to identify which characteristics of a network can…

Molecular Networks · Quantitative Biology 2021-07-27 Peter Crawford-Kahrl , Robert R. Nerem , Bree Cummins , Tomas Gedeon

This paper tackles the task of estimating the topology of filamentary networks such as retinal vessels and road networks. Building on top of a global model that performs a dense semantical classification of the pixels of the image, we…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Carles Ventura , Jordi Pont-Tuset , Sergi Caelles , Kevis-Kokitsi Maninis , Luc Van Gool

Very recently a new algorithm to the nonnegative single-source shortest path problem on road networks has been discovered. It is very cache-efficient, but only on static road networks. We show how to augment it to the time-dependent…

Data Structures and Algorithms · Computer Science 2010-10-06 Robert Geisberger

The majority of current approaches in autonomous driving rely on High-Definition (HD) maps which detail the road geometry and surrounding area. Yet, this reliance is one of the obstacles to mass deployment of autonomous vehicles due to poor…

Robotics · Computer Science 2021-04-02 Li Zhang , Faezeh Tafazzoli , Gunther Krehl , Runsheng Xu , Timo Rehfeld , Manuel Schier , Arunava Seal

In recent years many algorithms have been developed for finding patterns in graphs and networks. A disadvantage of these algorithms is that they use subgraph isomorphism to determine the support of a graph pattern; subgraph isomorphism is a…

Data Structures and Algorithms · Computer Science 2015-03-19 Anton Dries , Siegfried Nijssen

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

Social and Information Networks · Computer Science 2017-06-28 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

Social and Information Networks · Computer Science 2017-03-02 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

Community detection in social networks is a problem with considerable interest, since, discovering communities reveals hidden information about networks. There exist many algorithms to detect inherent community structures and recently few…

Social and Information Networks · Computer Science 2019-11-21 Waqas Nawaz

Rapid advances in high-throughput technologies have led to considerable interest in analyzing genome-scale data in the context of biological pathways, with the goal of identifying functional systems that are involved in a given phenotype.…

Quantitative Methods · Quantitative Biology 2015-06-01 Rosemary Braun , Sahil Shah

The discovery of spatio-temporal dependencies within urban road networks that cause Recurrent Congestion (RC) patterns is crucial for numerous real-world applications, including urban planning and scheduling of public transportation…

Machine Learning · Computer Science 2021-07-21 Nicolas Tempelmeier , Udo Feuerhake , Oskar Wage , Elena Demidova

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

Most optimal routing problems focus on minimizing travel time or distance traveled. Oftentimes, a more useful objective is to maximize the probability of on-time arrival, which requires statistical distributions of travel times, rather than…

We study the effect of learning dynamics on network topology. A network of discrete dynamical systems is considered for this purpose and the coupling strengths are made to evolve according to a temporal learning rule that is based on the…

Chaotic Dynamics · Physics 2009-11-13 Juergen Jost , Kiran M. Kolwankar

Predicting traffic conditions has been recently explored as a way to relieve traffic congestion. Several pioneering approaches have been proposed based on traffic observations of the target location as well as its adjacent regions, but they…

Artificial Intelligence · Computer Science 2023-08-22 Xingyi Cheng , Ruiqing Zhang , Jie Zhou , Wei Xu

Air transport systems are highly dynamic at temporal scales from minutes to years. This dynamic behavior not only characterizes the evolution of the system but also affect the system's functioning. Understanding the evolutionary mechanisms…

Physics and Society · Physics 2016-05-17 Luis Enrique Correa Rocha

In real-world systems, the relationships and connections between components are highly complex. Real systems are often described as networks, where nodes represent objects in the system and edges represent relationships or connections…

Algebraic Topology · Mathematics 2024-06-24 Shen Zhang