A matroid related to finitely chainlike, countably infinite networks

Alan C. Tucker, Armen H. Zemanian · Networks · 1982

Abstract The determination of the currents and voltages in a countably infinite electrical network containing infinite energy requires not only the imposition of Kirchoff's laws and Ohm's laws but also the arbitrary assignment of the current‐voltage pairs in certain sets of branches, called joints. For finitely chainlike, countably infinite networks the maximal joint sets satisfy the base axioms of a matroid.

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