46 citations · 184 across the 42 of their papers we have counts for
51 papers
Semidefinite programming bounds for distance distribution of spherical codes
Oleg R. Musin
Semidefinite programming bounds for spherical codes usually involve polynomials in several inner products. We show how these bounds lead to inequalities for the distance distributi…
Circle actions on oriented 4-manifolds
Donghoon Jang, Oleg R. Musin
In the present paper, we consider an action of the circle group on a compact oriented 4-manifold. We derive the Atiyah-Hirzebruch formula for the manifold, and associate a graph in…
Balanced 2-subsets
Mikhail V. Bludov, Oleg R. Musin
Balanced sets appeared in the 1960s in cooperative game theory as a part of nonempty core conditions. In this paper we present a classification of balanced families containing only…
Logarithmic algorithms for fair division problems
Alexandr Grebennikov, Xenia Isaeva, Andrei V. Malyutin +2
We study the algorithmic complexity of fair division problems with a focus on minimizing the number of queries needed to find an approximate solution with desired accuracy. We show…
Majorization and minimal energy on spheres
Oleg R. Musin
In the present paper, we consider the majorization theorem (also known as Karamata's inequality) and the respective minima of the majorization (the so-called M-sets) for f-energy p…
Log-optimal (d+2)-configurations in d-dimensions
Peter D. Dragnev, Oleg R. Musin
We enumerate and classify all stationary logarithmic configurations of d+2 points on the unit (d-1)-sphere in d-dimensions. In particular, we show that the logarithmic energy attai…