14 citations · 34 across the 14 of their papers we have counts for
4 papers · 1 filter
Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels
Sergey Agapov, Alexandr Valyuzhenich
In this paper the geodesic flow on a 2-torus in a non-zero magnetic field is considered. Suppose that this flow admits an additional first integral on different energy le…
Minimum supports of functions on the Hamming graphs with spectral constraints
Alexandr Valyuzhenich, Konstantin Vorob'ev
We study functions defined on the vertices of the Hamming graphs . The adjacency matrix of has distinct eigenvalues with corresponding eige…
-eigenfunctions of the Star graphs
Sergey Goryainov, Vladislav Kabanov, Elena Konstantinova +2
We consider the symmetric group , generated by the set of transpositions , and the Cayley graph $S_n=Cay(\math…
On eigenfunctions and maximal cliques of Paley graphs of square order
Sergey Goryainov, Vladislav V. Kabanov, Leonid Shalaginov +1
In this paper we find new maximal cliques of size or , accordingly as or , in Paley graphs of order , where is…