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math.CO2026
Subgroup Perfect Codes in Bi-Cayley Graphs
Masoumeh Koohestani, Nasrin Soltankhah, Mohsen Ghasemi
In this paper, we study perfect codes in bi-Cayley graphs, focusing on when two subgroups and of a group G can form a perfect code of the form . We first cons…
math.CO2025
Total perfect codes in Cayley sum graphs of cyclic groups
Masoumeh Koohestani, Doost Ali Mojdeh, Mohsen Ghasemi
We consider Cayley sum graphs over the cyclic group and aim to explore several necessary and sufficient conditions for the existence of total perfect codes in these…
math.CO2025
Some results on perfect codes in Cayley sum graphs
Masoumeh Koohestani, Doost Ali Mojdeh, Mohsen Ghasemi +1
We establish a necessary and sufficient condition for a normal subgroup of a finite group to be a subgroup perfect code.