Università degli Studi dell'Insubria Insubria Space

InsubriaSPACE - Thesis PhD Repository >
Insubria Thesis Repository >
01 - Tesi di dottorato >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10277/624

Authors: Arrigo, Francesca
Title: Edge manipulation techniques for complex networks with applications to communicability and triadic closure.
Abstract: Complex networks are ubiquitous in our everyday life and can be used to model a wide variety of phenomena. For this reason, they have captured the interest of researchers from a wide variety of fields. In this work, we describe how to tackle two problems that have their focus on the edges of networks. Our first goal is to develop mathematically inferred, efficient methods based on some newly introduced edge centrality measures for the manipulation of links in a network. We want to make a small number of changes to the edges in order to tune its overall ability to exchange information according to certain goals. Specifically, we consider the problem of adding a few links in order to increase as much as possible this ability and that of selecting a given number of connections to be removed from the graph in order to penalize it as little as possible. Techniques to tackle these problems are developed for both undirected and directed networks. Concerning the directed case, we further discuss how to approximate certain quantities that are used to measure the importance of edges. Secondly, we consider the problem of understanding the mechanism underlying triadic closure in networks and we describe how communicability distance functions play a role in this process. Extensive numerical tests are presented to validate our approaches.
Keywords: Complex network, edges, centrality measures, communicability, triangles, matrix functions
Issue Date: 2016
Language: eng
Doctoral course: Matematica del Calcolo: Modelli, Strutture, Algoritmi e Applicazioni 
Academic cycle: 28
Publisher: Università degli Studi dell'Insubria
Citation: Arrigo, F.Edge manipulation techniques for complex networks with applications to communicability and triadic closure. (Doctoral Thesis, Università degli Studi dell'Insubria, 2016).

Files in This Item:

File Description SizeFormatVisibility
Phd_Thesis_Arrigofrancesca_completa.pdftesto completo tesi1,96 MBAdobe PDFView/Open

Items in InsubriaSPACE are protected by copyright, with all rights reserved, unless otherwise indicated.

Share this record




Stumble it!



  ICT Support, development & maintenance are provided by the AePIC team @ CILEA. Powered on DSpace Software.  Feedback