I. Bluskov

collaborators

2 papers

math.CO2022

Turán numbers $T (n, 5, 3)$ and graphs without induced $5$ -cycles

Iliya Bluskov, Jan de Heer, Alexander Sidorenko

Turán number $T (n, 5, 3)$ is the minimum size of a system of triples out of a base set $X$ of $n$ elements such that every quintuple in $X$ contains a triple from the system. The exa…

math.NT2020

A quartic diophantine equation inspired by Brahmagupta's identity

Ajai Choudhry, Iliya Bluskov, Alexander James

In this paper we obtain several parametric solutions of the quartic diophantine equation $(x_{1}^{4} + x_{2}^{4}) (y_{1}^{4} + y_{2}^{4}) = z_{1}^{4} + z_{2}^{4}$ . We also show how infinitely many parametric solut…

Turán numbers T(n,5,3) and graphs without induced 5-cycles

A quartic diophantine equation inspired by Brahmagupta's identity

Turán numbers $T (n, 5, 3)$ and graphs without induced $5$ -cycles