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Matched Products and Dynamical Models for Multiplex Networks
Başlık:
Matched Products and Dynamical Models for Multiplex Networks
Yazar:
DeFord, Daryl R., author.
ISBN:
9780438005792
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (214 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Daniel Rockmore Committee members: Feng Fu; Scott Pauls; Dane Taylor.
Özet:
This thesis analyzes representations of multiplex networks, which are generalizations of graphs that allow for multiple types of connections between the objects of interest. This is a rapidly expanding field that has recently become a prominent topic in network science.
The main contribution of the thesis is to introduce a new family of operators, motivated by dynamical processes, for describing the properties of multiplex networks. This dynamical framework is very flexible and allows us to generalize many commonly studied models for network dynamics to the setting of multiplex data. Our analysis of these dynamics includes spectral bounds for a new multiplex Laplacian derived in terms of the component layers. Additionally, we show that in several settings this model interpolates the behavior of two extreme models: one in which the individual layers do not interact and one in which the layers are aggregated into a single network.
After motivating and developing this dynamical approach we use it to explore centrality and clustering on multiplex network data. These measures have deep connections to dynamics and we are able to exploit these relationships in order to apply them in the multiplex setting. For the latter, approaches to both modularity and spectral clustering in the general multiplex setting are presented. We conclude with applications to two real-world data sets drawn from sociology and economics. These applications demonstrate the flexibility and power of our model and uncover behavior that could not be observed in more traditional single layer analysis.
Notlar:
School code: 0059
Konu Başlığı:
Tüzel Kişi Ek Girişi:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(681815.1) | 681815-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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