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- W2995996879 abstract "Let G be an electrical network graph with vertex set V and edge set E, and let Ω(i,j) be the effective resistance between vertices i and j of G. Foster’s first theorem states that ∑(i,j)∈EcijΩ(i,j)=|V|−1, where cij is the conductance of the edge (i, j). In this note, we give a combinatorial proof of two equivalent formulae on the weighted enumeration of spanning trees of an edge-weighted graph, one of which results in a new proof of Foster’s first theorem." @default.
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- W2995996879 date "2019-12-19" @default.
- W2995996879 modified "2023-09-26" @default.
- W2995996879 title "A New Proof of Foster’s First Theorem" @default.
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- W2995996879 doi "https://doi.org/10.1080/00029890.2020.1668709" @default.
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