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arXiv · 2105.05371

A Stronger Lower Bound on Parametric Minimum Spanning Trees

David Eppstein
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Abstract

We prove that, for an undirected graph with $n$ vertices and $m$ edges, each labeled with a linear function of a parameter $\lambda$, the number of different minimum spanning trees obtained as the parameter varies can be $\Omega(m\log n)$.

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David Eppstein. 2021-05-11. A Stronger Lower Bound on Parametric Minimum Spanning Trees. https://arxiv.org/abs/2105.05371

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