Emily J. Evans

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math.CO2025

Proof of a Conjecture on the Growth of the Maximal Resistance Distance in a Linear 3--Tree

Emily J. Evans, Russell Jay Hendel

Barret, Evans, and Francis conjectured that if $G$ is the straight linear 3-tree with $n$ vertices and $H$ is the straight linear 3-tree with $n + 1$ vertices then \[\lim_{n\rightarr…

math.CO2024

Recursions Satisfied by Families of Determinants with Applications to Resistance Distance

Emily J. Evans, Russell J. Hendel

The main contribution of this paper is a six-step semi-automatic algorithm that obtains a recursion satisfied by a family of determinants by systematically and iteratively applying…