Adjacency matrix concepts for the analysis of the interconnection of networks |
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| Authors: | William N Anderson Richard J Duffin George E Trapp |
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| Institution: | Department of Mathematics University of Maryland, College Park, Maryland USA;Department of Mathematics Carnegie–Mellon University, Pittsburgh, Pennsylvania USA;Department of Statistics and Computer Science West Virginia University, Morgantown, West Virginia USA |
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| Abstract: | A mathematical theory is developed for an imagined device termed a “junctor”. A junctor could be used to interconnect two n-terminal networks giving rise to another n-terminal network. Actually a junctor is itself a simple network with three banks of n-terminals internally connected in some fashion by perfectly conducting wires. Adjacency matrices are formulated to analyze various junctors and their current flows. The main problem treated concerns conditions which would ensure that the junctor operation is associative. |
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