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- W4306805967 abstract "We consider all spanning trees of a complete simple graph $Gamma$ on $n$ vertices that contain a given $m-$forest $F$. We show that the number of such spanning trees, $tau(F)$, doesn't depend on the structure of $F$ and is completely determined by the number of vertices $q_i , (i=1, ..., m)$ in each connected component of $F$. Specifically, $tau(F) = q_1 q_2 cdots q_m n^{m-2}$." @default.
- W4306805967 created "2022-10-20" @default.
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- W4306805967 date "2022-10-14" @default.
- W4306805967 modified "2023-10-16" @default.
- W4306805967 title "Number of spanning trees containing a given forest" @default.
- W4306805967 doi "https://doi.org/10.48550/arxiv.2210.09009" @default.
- W4306805967 hasPublicationYear "2022" @default.
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