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Connectedness in transfinite graphs and the existence and uniqueness of node voltages

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Publication:1896360
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DOI10.1016/0012-365X(93)E0223-QzbMath0829.05040OpenAlexW2016722882WikidataQ128011876 ScholiaQ128011876MaRDI QIDQ1896360

Armen H. Zemanian

Publication date: 1 January 1996

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(93)e0223-q


zbMATH Keywords

pathsconnectednessnetworksnodesconnectivitytransitivitycircuitsconnectionconnected graphsvoltagebranchestransfinite graphsnode voltagestransfinite paths


Mathematics Subject Classification ID

Paths and cycles (05C38) Analytic circuit theory (94C05) Applications of graph theory to circuits and networks (94C15) Connectivity (05C40)


Related Items (3)

A maximum principle for node voltages in finitely structured, transfinite, electrical networks ⋮ Random walks on finitely structured transfinite networks ⋮ Uncountable transfinite graphs and electrical networks



Cites Work

  • An electrical gridlike structure excited at infinity
  • Transfinite Graphs and Electrical Networks
  • Unnamed Item


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