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Community detection in graphs
, 2009
"... The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices of th ..."
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Cited by 801 (1 self)
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The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices of the same cluster and comparatively few edges joining vertices of different clusters. Such
Automation of Water Distribution Management SUMMARY
"... The candidate confirms that the work submitted is their own and the appropriate credit has been given where reference has been made to the work of others. I understand that failure to attribute material which is obtained from another source may be considered as plagiarism. (Signature of student)____ ..."
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The candidate confirms that the work submitted is their own and the appropriate credit has been given where reference has been made to the work of others. I understand that failure to attribute material which is obtained from another source may be considered as plagiarism. (Signature of student)________________________________
Network Games as TU Cooperative Games: The Core, the Shapley Value and Simple Network Games
, 2009
"... In this article, we present and develop the interpretation of network game as a TU cooperative game where the players are the links of the original network game. Using this transposition, we propose the adaptation of two widely used concepts of cooperative game theory to the context of network gam ..."
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In this article, we present and develop the interpretation of network game as a TU cooperative game where the players are the links of the original network game. Using this transposition, we propose the adaptation of two widely used concepts of cooperative game theory to the context of network games: the Core and the Shapley value. As illustration of the usefulness of the approach, we characterize the class of simple network games with nonempty Cores.
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, 903
"... We consider an Abelian Gauge Theory in R 4 equipped with the Minkowski metric. This theory leads to a system of equations, the KleinGordonMaxwell equations, which provide models for the interaction between the electromagnetic field and matter. We assume that the nonlinear term is such that the ene ..."
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We consider an Abelian Gauge Theory in R 4 equipped with the Minkowski metric. This theory leads to a system of equations, the KleinGordonMaxwell equations, which provide models for the interaction between the electromagnetic field and matter. We assume that the nonlinear term is such that the energy functional is positive; this fact makes the theory more suitable for physical models. A three dimensional vortex is a finite energy, stationary solution of these equations such that the matter field has nontrivial angular momentum and the magnetic field looks like the field created by a finite solenoid. Under suitable assumptions, we prove the existence of three dimensional vortexsolutions.