3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.CO2021
On Products of Strong Skolem Starters
Oleg Ogandzhanyants, Margarita Kondratieva, Nabil Shalaby
In 1991, Shalaby conjectured that any , where or , admits a strong Skolem starter. In 2018, the authors explicitly constructed some…
math.CO2018
Strong Skolem Starters
Oleg Ogandzhanyants, Margarita Kondratieva, Nabil Shalaby
This paper concerns a class of combinatorial objects called Skolem starters, and more specifically, strong Skolem starters, which are generated by Skolem sequences. In 1991, Shalab…
math.CO2013★ 3 cited
The intersection spectrum of Skolem sequences and its applications to lambda fold cyclic triple systems, together with the Supplement
Nabil Shalaby, Daniela Silvesan
A Skolem sequence of order n is a sequence S_n=(s_{1},s_{2},...,s_{2n}) of 2n integers containing each of the integers 1,2,...,n exactly twice, such that two occurrences of the int…