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Results tagged with spanning-tree
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user 41873
4
votes
0
answers
239
views
Does the zeta regularized Laplacian determinant measure the volume of some parameter space? ...
Let $(M,g)$ be a Riemannian manifold, with Laplacian $\Delta$. If $\lambda_i$ are the nonzero eigenvalues of $\Delta$, we can define the zeta function $\zeta(s) = \Sigma \lambda_i^{-s}$. By analytic c …
- 1,462
7
votes
0
answers
170
views
What is known about the distribution of lengths of the cycle you get by adding an edge to a ...
Let $G$ be a finite, connected graph. Let $T$ be a uniform spanning tree, and let $e$ be a uniformly random edge not in $T$. When we add $e$ to $T$, we get a subgraph with a unique cycle, $C$. I am in …
- 1,462