Synthetic generation of spatial graphs
Torra i Reventós, Vicenç (University of Skövde)
Jonsson, Annie (University of Skövde)
Navarro-Arribas, Guillermo (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
Salas, Julián (Universitat Oberta de Catalunya. Internet Interdisciplinary Institute (IN3))

Date:	2018
Abstract:	Graphs can be used to model many different types of interaction networks, for example, online social networks or animal transport networks. Several algorithms have thus been introduced to build graphs according to some predefined conditions. In this paper, we present an algorithm that generates spatial graphs with a given degree sequence. In spatial graphs, nodes are located in a space equiped with a metric. Our goal is to define a graph in such a way that the nodes and edges are positioned according to an underlying metric. More particularly, we have constructed a greedy algorithm that generates nodes proportional to an underlying probability distribution from the spatial structure, and then generates edges inversely proportional to the Euclidean distance between nodes. The algorithm first generates a graph that can be a multigraph, and then corrects multiedges. Our motivation is in data privacy for social networks, where a key problem is the ability to build synthetic graphs. These graphs need to satisfy a set of required properties (e. g. , the degrees of the nodes) but also be realistic, and thus, nodes (individuals) should be located according to a spatial structure and connections should be added taking into account nearness.
Grants:	Ministerio de Economía y Competitividad TIN2014-57364-C2-2-R Ministerio de Economía y Competitividad TIN2014-55243-P
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Data privacy ; Graphs generating algorithms ; Network modeling ; Spatial graphs
Published in:	International Journal of Intelligent Systems, Vol. 33, Issue 12 (December 2018) , p. 2364-2378, ISSN 1098-111X

DOI: 10.1002/int.22034

15 p, 711.9 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Engineering > Security of Networks and Distributed Applications (SENDA)
Articles > Research articles
Articles > Published articles