Foundations of Network Theory

Conference: ISTET 2009 - VXV International Symposium on Theoretical Engineering
06/22/2009 - 06/24/2009 at Lübeck, Germany

Proceedings: ISTET 2009

Pages: 5Language: englishTyp: PDF

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Reibiger, Albrecht (Dresden University of Technology)

We consider different axiomatizations of network theory with emphasis of Kirchhoff networks. Following a tradition founded by Kirchhoff the topological structure of this class of networks is characterized by means of oriented graphs. Multipole and multiport networks are introduced as alternative variants. A consequent enforcement of the multiport approach leads directly to the class of Paynter networks for which bond graphs deliver an adequate representation. Additionally, Minty networks are discussed briefly as a generalization of Kirchhoff networks. They are based on oriented graphoids instead of oriented graphs. Keywords. networks, multipoles, multiports, graphs, graphoids.