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math.CO2026
The 2-Adic Valuation of the Order of the All-Ones Class in the Sandpile Group of a Square
Turgay Akyar, Artem Beliakov, Konstantin Delchev +6
Place one grain at every nonsink vertex of the wired square, and let be the order of this operation in the sandpile group. Thus is the least positive …
math.CO2018
Upper Energy Bounds for Spherical Designs of Relatively Small Cardinalities
Peter Boyvalenkov, Konstantin Delchev, Matthieu Jourdain
We derive upper bounds for the potential energy of spherical designs of cardinality close to the Delsarte-Goethals-Seidel bound. These bounds are obtained by linear programming wit…