3 papers
math.HO2025
An Introductory Survey of Recursions in the Computation of Resistance Distance
Emily J. Evans, Russell Jay Hendel
This paper presents an introduction and expository account of a beautiful, current, and active application of recursions to the computation of resistance distance. Resistance dista…
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 is the straight linear 3-tree with vertices and is the straight linear 3-tree with 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…