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11
votes
On planarity in two related graphs
$\mathcal{G}_B$ is the bipartite double cover of $\mathcal{G}_A$. So it has twice as many vertices and edges, and if $\mathcal{G}_A$ has an embedding with $x$ even faces and $y$ odd faces then $\math …
9
votes
Accepted
Exact formula for the number of spanning trees of a rectangle
According to https://www.cse.ust.hk/~golin/pubs/ANALCO_05.pdf there is no closed-form formula known.
According to http://arxiv.org/pdf/cond-mat/0004341v1.pdf the number is asymptotic (for $n$ and $m$ …