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math.CO2026
Regular sets of circulant quartic graphs
A. Abdollahi, J. Bagherian, F. Jafari +3
For a graph and nonnegative integers and , a nonempty proper subset is called an -regular set if every vertex in has exactly neighbors…
math.CO2023
New Upper Bounds on the Size of Permutation Codes under Kendall -Metric
Alireza Abdollahi, Javad Bagherian, Fatemeh Jafari +3
We first give two methods based on the representation theory of symmetric groups to study the largest size of permutation codes of length i.e. subsets of the set …
math.CO2022
New Bounds on the Size of Permutation Codes With Minimum Kendall -distance of Three
A. Abdollahi, J. Bagherian, F. Jafari +3
We study , the size of the largest subset of the set of all permutations with minimum Kendall -distance . Using a combination of group theory and integer progra…