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A Study of Problems Modelled as Network Equilibrium Flows [PDF]
This thesis presents an investigation into selfish routing games from three main perspectives. These three areas are tied together by a common thread that runs through the main text of this thesis, namely selfish routing games and network equilibrium ...
O'Neill, S.
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Constrained flows in networks [PDF]
The support of a flow $x$ in a network is the subdigraph induced by the arcs $uv$ for which $x(uv)>0$. We discuss a number of results on flows in networks where we put certain restrictions on structure of the support of the flow. Many of these problems are NP-hard because they generalize linkage problems for digraphs.
Bang-Jensen, Jørgen +2 more
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Asymmetric flow networks [PDF]
This research is supported by the Spanish Ministerio de Economía y Competitividad under projects ECO2009-11213 and ECO2009-07939, co-funded by the ERDF. Both authors also bene t from the Basque Government s funding to Grupos Consolidados GIC07/146-IT-377-07 and GIC07/22-IT-223 ...
Norma Olaizola, Federico Valenciano
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AbstractIn this work we consider a generalization of graph flows. A graph flow is, in its simplest formulation, a labelling of the directed edges with real numbers subject to various constraints. A common constraint is conservation in a vertex, meaning that the sum of the labels on the incoming edges of this vertex equals the sum of those on the ...
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In this paper we propose an in-depth analysis of a method, called the flow network method, which associates with any network a complete and quasi-transitive binary relation on its vertices. Such a method, originally proposed by Gvozdik (1987), is based on the concept of maximum flow.
Daniela Bubboloni, Michele Gori
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A Theorem on Flows in Networks [PDF]
The theorem to be proved in this note is a generalization of a well-known combinatorial theorem of P. Hall, [4].
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Evidence from 184 countries over the span of 25 years is gathered and analyzed to understand North–North, South–South, and North–South international migration flows. Conceptually, the analysis borrows from network theory and Migration Systems Theory (MST)
Diego F. Leal, Nicolas L. Harder
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Laplacians for flow networks [PDF]
We define a class of Laplacians for multicommodity, undirected flow networks, and bound their smallest nonzero eigenvalues with a generalization of the sparsest cut.
Taylor, Joshua A., Hover, Franz S.
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We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the transported quantity in the neighboring cells.
Pierre Degond +2 more
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This paper introduces Bayesian Flow Networks (BFNs), a new class of generative model in which the parameters of a set of independent distributions are modified with Bayesian inference in the light of noisy data samples, then passed as input to a neural network that outputs a second, interdependent distribution.
Alex Graves +3 more
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