Oleg Ogandzhanyants

activity

20182026

collaborators

4 papers

math.CO2026

The triplication method for constructing strong starters

Oleg Ogandzhanyants, Sergey Sadov, Margo Kondratieva

The triplication method for constructing strong starters in $Z_{3 m}$ from starters in $Z_{m}$ (say, a starter of order 21 from a starter of order 7) was proposed by the authors in…

math.CO2025

Constructing strong starters of orders $3 p$ : triplication with SAT solver

Oleg Ogandzhanyants, Sergey Sadov, Margo Kondratieva

A novel approach to building strong starters in cyclic groups of orders $n$ divisible by 3 from starters of smaller orders is presented. A strong starter in $Z_{n}$ ( $n$ odd) is a pa…

math.CO2021

On Products of Strong Skolem Starters

Oleg Ogandzhanyants, Margarita Kondratieva, Nabil Shalaby

In 1991, Shalaby conjectured that any $Z_{n}$ , where $n \equiv 1$ or $3 (mod 8), n \geq 11$ , admits a strong Skolem starter. In 2018, the authors explicitly constructed some…

math.CO2018

Strong Skolem Starters