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math.CO2018
Shellability of face posets of electrical networks and the CW poset property
Patricia Hersh, Richard Kenyon
We prove a conjecture of Thomas Lam that the face posets of stratified spaces of planar resistor networks are shellable. These posets are called uncrossing partial orders. This she…
math.CO2018
Holomorphic quadratic differentials on graphs and the chromatic polynomial
Richard Kenyon, Wai Yeung Lam
We study "holomorphic quadratic differentials" on graphs. We relate them to the reactive power in an LC circuit, and also to the chromatic polynomial of a graph. Specifically, we s…