# The difference matrices of the classes of a Sharma-Kaushik partition

Archivum Mathematicum (2004)

- Volume: 040, Issue: 1, page 23-31
- ISSN: 0044-8753

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topSharma, Bhu Dev, and Sookoo, Norris. "The difference matrices of the classes of a Sharma-Kaushik partition." Archivum Mathematicum 040.1 (2004): 23-31. <http://eudml.org/doc/249290>.

@article{Sharma2004,

abstract = {Sharma-Kaushik partitions have been used to define distances between vectors with $n$-coordinates. In this paper, “difference matrices” for the partitioning classes have been introduced and investigated. It has been shown that the difference matrices are circulant and that the entries of a product of matrices is an extended intersection number of a distance scheme. The sum of the entries of each row or columns of the product matrix has been obtained. The algebra of matrices generated by the difference matrices of the classes of an SK-partition have another natural basis. The relationship between these two bases has been given.},

author = {Sharma, Bhu Dev, Sookoo, Norris},

journal = {Archivum Mathematicum},

keywords = {SK-partitions; distance scheme; extended intersection number; distance scheme; extended intersection number; Bose-Mesner algebra; circulant matrices; difference matrices},

language = {eng},

number = {1},

pages = {23-31},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {The difference matrices of the classes of a Sharma-Kaushik partition},

url = {http://eudml.org/doc/249290},

volume = {040},

year = {2004},

}

TY - JOUR

AU - Sharma, Bhu Dev

AU - Sookoo, Norris

TI - The difference matrices of the classes of a Sharma-Kaushik partition

JO - Archivum Mathematicum

PY - 2004

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 040

IS - 1

SP - 23

EP - 31

AB - Sharma-Kaushik partitions have been used to define distances between vectors with $n$-coordinates. In this paper, “difference matrices” for the partitioning classes have been introduced and investigated. It has been shown that the difference matrices are circulant and that the entries of a product of matrices is an extended intersection number of a distance scheme. The sum of the entries of each row or columns of the product matrix has been obtained. The algebra of matrices generated by the difference matrices of the classes of an SK-partition have another natural basis. The relationship between these two bases has been given.

LA - eng

KW - SK-partitions; distance scheme; extended intersection number; distance scheme; extended intersection number; Bose-Mesner algebra; circulant matrices; difference matrices

UR - http://eudml.org/doc/249290

ER -

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