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math.CO2022
An Infinite 2-Dimensional Array Associated With Electric Circuits
Emily J. Evans, Russell J. Hendel
Except for Koshy who devotes seven pages to applications of Fibonacci Numbers to electric circuits, most books and the Fibonacci Quarterly have been relatively silent on applicatio…
math.CO2022
Resistance values under transformations in regular triangular grids
Emily J. Evans, Russell J. Hendel
In [Evans, Francis 2022; Hendel] the authors investigated resistance distance in triangular grid graphs and observed several types of asymptotic behavior. This paper extends their…
math.CO2022
A System of Four simultaneous Recursions: Generalization of the Ledin-Shannon-Ollerton Identity
Russell Jay Hendel
This paper further generalizes a recent result of Shannon and Ollerton who resurrected an old identity due to Ledin. This paper generalizes the Ledin-Shannon-Ollerton result to all…