1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
Improved bounds on the size of permutation codes under Kendall -metric
Farzad Parvaresh, Reza Sobhani, Alireza Abdollahi +3
In order to overcome the challenges caused by flash memories and also to protect against errors related to reading information stored in DNA molecules in the shotgun sequencing met…
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 …
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…
Cardinality of product sets in torsion-free groups and applications in group algebras
Alireza Abdollahi, Fatemeh Jafari
Let be a unique product group, i.e., for any two finite subsets and of there exists which can be uniquely expressed as a product of an element of and a…
Zero divisor and unit elements with support of size 4 in group algebras of torsion free groups
Alireza Abdollahi, Fatemeh Jafari
Kaplansky Zero Divisor Conjecture states that if is a torsion free group and is a field, then the group ring contains no zero divisor and Kaplan…