2 citations · 3 across the 10 of their papers we have counts for
11 papers
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…
The generalized X-join of Cayley graphs
Allen Herman, Javad Bagherian, Hanieh Memarzadeh
As a main result of this paper we give conditions under which the generalized -join of Cayley graphs is a Cayley graph. In particular, we show that -join of isomorphic Cayley…
A conjecture of Cameron and Kiyota on sharp characters with prescribed values
A. Abdollahi, J. Bagherian, M. Khatami +2
Let be a virtual (generalized) character of a finite group and be the image of on . The pair is said to be sharp of type…
Irreducible representations of wedge products of table algebras and applications to association schemes
Javad Bagherian
In this paper we first determine all irreducible representations of a wedge product of two table algebras in terms of the irreducible representations of two factors involved. Then…
On the wedge product of table algebras and applications to association schemes
Javad Bagherian
In this paper we will first present a generalization of the wedge product of association schemes to table algebras and give a necessary and sufficient condition for a table algebra…
Association schemes with at most two nonlinear irreducible characters and applications to finite groups
Javad Bagherian
An irreducible character of an association scheme is called nonlinear if the multiplicity of is greater than . The main result of this paper gives a characterization of…
Burnside-Brauer Theorem and Character Products in Table Algebras
J. Bagherian, A. Rahnamai Barghi
In this paper, we first show that the irreducible characters of a quotient table algebra modulo a normal closed subset can be viewed as the irreducible characters of the table alge…
Standard Character Condition for C-algebras
J. Bagherian, A. Rahnamai Barghi
It is well known that the adjacency algebra of an association scheme has the standard character. In this paper we first define the concept of standard character for C-algebras and…
On cyclotomic schemes over finite near-fields
J. Bagherian, Ilia Ponomarenko, A. Rahnamai Barghi
We introduce a concept of cyclotomic association scheme C over a finite near-field. It is proved that if C is nontrivial, then Aut(C)<AGL(V) where V is the linear space associated…