McAnulty College and Graduate School of Liberal Arts
Energy Functions, Knot Energies, Knot Theory, Topology
This thesis explores mathematical knots and energy functions defined for them. Specifically, we explore the question of whether or not the Minimum Distance Energy of an equilateral knot is close to the Mobius Energy of a smooth knot where the smooth knot is inscribed in the equilateral knot in a specific way.
Worthington, J. (2005). Error Bounds Between the Minimum Distance Energy of an Equilateral Knot and the Mobius Energy of an Inscribed Smooth Knot (Master's thesis, Duquesne University). Retrieved from https://dsc.duq.edu/etd/1382