3 papers
math.AC2026
Sums of squares on curves and surfaces
BartÅomiej Bychawski, Bartosz GÅowacki, Tomasz Kowalczyk
We study sums of higher even powers in the coordinate rings of singular planar curves for coprime positive integers . We then show that the -Pythagoras number of…
math.CO2024
Classification of unstable circulants of square-free order
BartÅomiej Bychawski
In this paper we prove that for circulants of squarefree orders Wilson's conjecture hold, that is each nontrivially unstable circulant of such order has Wilson type. We show that a…
math.CO2024
Constructions of graphs with any possible two-fold automorphism and automorphism groups
BartÅomiej Bychawski
It is known that the canonical double cover of any connected nonbipartite graph have an automorphism group of the form , where is the set of automorphis…