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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

In many graphs such as social networks, nodes have associated attributes representing their behavior. Predicting node attributes in such graphs is an important problem with applications in many domains like recommendation systems, privacy…

Machine Learning · Computer Science 2021-02-23 Sarwan Ali , Muhammad Haroon Shakeel , Imdadullah Khan , Safiullah Faizullah , Muhammad Asad Khan

This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at…

Numerical Analysis · Mathematics 2020-04-22 Theresa Dambach , Simone Göttlich , Stephan Knapp

We propose a new approach to querying graph databases. Our approach balances competing goals of expressive power, language clarity and computational complexity. A distinctive feature of our approach is the ability to express properties of…

Logic in Computer Science · Computer Science 2023-06-22 Jakub Michaliszyn , Jan Otop , Piotr Wieczorek

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

We present a method to extract temporal hypergraphs from sequences of 2-dimensional functions obtained as solutions to Optimal Transport problems. We investigate optimality principles exhibited by these solutions from the point of view of…

Discrete Mathematics · Computer Science 2023-01-10 Diego Baptista , Caterina De Bacco

The work presented in this thesis concerns different aspects of dynamical processes on networks. The first subject considered is the theoretical modeling of exploration processes of complex networks, such as the ``traceroute'' process used…

Physics and Society · Physics 2007-05-23 Luca Dall'Asta

The problem of finding graph structure of functions commuting with a given function in terms of their functional graphs is considered. Structure of functional graphs of commuting functions is described. The problem is reduced to describing…

Combinatorics · Mathematics 2015-01-05 Peteris Daugulis

Map matching of the GPS trajectory serves the purpose of recovering the original route on a road network from a sequence of noisy GPS observations. It is a fundamental technique to many Location Based Services. However, map matching of a…

Machine Learning · Statistics 2014-09-03 Jian Yang , Liqiu Meng

Networks arising from social, technological and natural domains exhibit rich connectivity patterns and nodes in such networks are often labeled with attributes or features. We address the question of modeling the structure of networks where…

Social and Information Networks · Computer Science 2011-06-28 Myunghwan Kim , Jure Leskovec

We summarize the main results proved in recent work on the parameterized verification of safety properties for ad hoc network protocols. We consider a model in which the communication topology of a network is represented as a graph. Nodes…

Logic in Computer Science · Computer Science 2011-08-10 Giorgio Delzanno , Arnaud Sangnier , Gianluigi Zavattaro

In many applications, such as those arising from the field of cellular networks, it is often desired to determine the interaction (graph) structure of a set of differential equations, using as data measured sensitivities. This note proposes…

Biological Physics · Physics 2007-05-23 Boris N. Kholodenko , Eduardo D. Sontag

Due to nowadays networks' sizes, the evaluation of a community detection algorithm can only be done using quality functions. These functions measure different networks/graphs structural properties, each of them corresponding to a different…

Social and Information Networks · Computer Science 2016-01-28 Jean Creusefond , Thomas Largillier , Sylvain Peyronnet

In current practice a formal analysis of hybrid system models is assertion-based. The work presented here is based on features that look beyond functional correctness toward a quantitative evaluation of behavioral attributes. A feature…

Logic in Computer Science · Computer Science 2019-02-25 Antonio Anastasio Bruto da Costa , Goran Frehse , Pallab Dasgupta

Transportation networks serve as windows into the complex world of urban systems. By properly characterizing a road network, we can therefore better understand its encompassing urban system. This study offers a geometrical approach towards…

Physics and Society · Physics 2015-07-15 Farideddin Peiravian , Sybil Derrible

We provide a framework for modeling social network formation through conditional multinomial logit models from discrete choice and random utility theory, in which each new edge is viewed as a "choice" made by a node to connect to another…

Social and Information Networks · Computer Science 2020-05-22 Jan Overgoor , Austin R. Benson , Johan Ugander

Trajectory analysis is not only about obtaining movement data, but it is also of paramount importance in understanding the pattern in which an object moves through space and time, as well as in predicting its next move. Due to the…

Machine Learning · Computer Science 2025-06-26 Chanuka Don Samarasinghage , Dhruv Gulabani

Most of the existing knowledge graphs are not usually complete and can be complemented by some reasoning algorithms. The reasoning method based on path features is widely used in the field of knowledge graph reasoning and completion on…

Artificial Intelligence · Computer Science 2022-11-03 Shanqing Yu , Yijun Wu , Ran Gan , Jiajun Zhou , Ziwan Zheng , Qi Xuan

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

In areas such as computer software and hardware, manufacturing systems, and transportation, engineers encounter networks with arbitrarily large numbers of isomorphic subprocesses. Parameterized systems provide a framework for modeling such…

Formal Languages and Automata Theory · Computer Science 2016-10-03 M. H. Zibaeenejad , J. G. Thistle