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arXiv · 2309.13180

Modulus of edge covers and stars

Adriana Ortiz-Aquino·Nathan Albin
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Abstract

This paper explores the modulus (discrete $p$-modulus) of the family of edge covers on a discrete graph. This modulus is closely related to that of the larger family of fractional edge covers; the modulus of the latter family is guaranteed to approximate the modulus of the former within a multiplicative factor. The bounds on edge cover modulus can be computed efficiently using a duality result that relates the fractional edge covers to the family of stars.

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Adriana Ortiz-Aquino, Nathan Albin. 2024-02-29. Modulus of edge covers and stars. https://arxiv.org/abs/2309.13180

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