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Multi-Mode and Evolutionary Networks

Show simple item record Sharabati, Walid K.
dc.creator Sharabati, Walid K. 2008-10-31 2009-01-21T16:19:21Z NO_RESTRICTION en 2009-01-21T16:19:21Z 2009-01-21T16:19:21Z
dc.description.abstract In this dissertation, I present advanced mathematical methods underpinning networks, graphs and matrices. I develop a methodology to manipulate multi-mode high-dimensional networks and operate a mechanism for storing and performing matrix arithmetics on such networks and graphs. Additionally, I introduce the concept of having infinite networks and matrices and expand the literature involving traditional networks and matrices. Furthermore, I build up a model to estimate missing edges and vertices in a graph using covariate information and similarities among actors. The covariates are the exogenous attributes of entities, which could be numerical as well as categorical attributes. The model can be applied to social networks in addition to other networks. I then utilize the mathematical model to estimate missing vertices in a graph, a process that can be achieved through matrix transformation. In the next stage, I present a method to predict the emergence of new actors in a network based on stochastic processes and suggest a model of preferential attachment. Finally, I apply quantitative methods to examine evolving networks. Ultimately, I examine the structure of real networks and model their behavior. I perform a comprehensive analysis and simulation on applications in the social networks field, which includes coauthorship social networks (social networks of coauthors of scholarly publications), road fatal crashes networks in the United States, and news documents networks.
dc.language.iso en_US en
dc.subject Network Theory en_US
dc.subject Multi-Mode Networks en_US
dc.subject Social Network Analysis en_US
dc.subject Evolutionary Networks en_US
dc.subject Predicting Edges and Verticals en_US
dc.subject Preferential Attachment en_US
dc.title Multi-Mode and Evolutionary Networks en
dc.type Dissertation en Doctor of Philosophy in Computational Sciences and Informatics en Doctoral en Computational Sciences and Informatics en George Mason University en

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