Title
On the Rank of p-Schemes.
Abstract
Let n > 1 be an integer and p be a prime number. Denote by C-p(n) the class of non-thin association p-schemes of degree p(n). A sharp upper and lower bounds on the rank of schemes in C-p(n) with a certain order of thin radical are obtained. Moreover, all schemes in this class whose rank are equal to the lower bound are characterized and some schemes in this class whose rank are equal to the upper bound are constructed. Finally, it is shown that the scheme with minimum rank in C-p(n) is unique up to isomorphism, and it is a fusion of any association p-schemes with degree p(n).
Year
Venue
Keywords
2013
ELECTRONIC JOURNAL OF COMBINATORICS
association scheme,thin radical,wreath product
DocType
Volume
Issue
Journal
20
2.0
ISSN
Citations 
PageRank 
1077-8926
0
0.34
References 
Authors
2
2
Name
Order
Citations
PageRank
Fateme Raei Barandagh100.34
Amir Rahnamai Barghi292.79