On the Rank of p-Schemes
نویسندگان
چکیده
Let n > 1 be an integer and p be a prime number. Denote by Cpn the class of non-thin association p-schemes of degree pn. A sharp upper and lower bounds on the rank of schemes in Cpn 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 Cpn is unique up to isomorphism, and it is a fusion of any association p-schemes with degree pn.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 20 شماره
صفحات -
تاریخ انتشار 2013