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math.CO2026
Efficient lifts into odd dimensions of Spherical - and -designs with Balanced Halves
Konstantin Delchev, Boryan Yordanov
We propose constructions of spherical - and -designs in odd dimensions by lifting balanced halves of even-dimensional designs to several layers of suitable latitudes. For eve…
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 …