Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2009; 46(4): 785-812

Printed July 1, 2009

https://doi.org/10.4134/JKMS.2009.46.4.785

Copyright © The Korean Mathematical Society.

Weak metric and weak cometric schemes

Dae San Kim and Gil Chun Kim

Sogang University

Abstract

The notion of weak metric and weak cometric schemes are introduced as a generalization of metric and cometric schemes. They are given as the wreath product of a finite number of symmetric association schemes satisfying certain equivalent conditions which are analogous to the ones for metric or cometric schemes. We characterize those schemes and determine some of their parameters.

Keywords: weak metric scheme, weak cometric scheme

MSC numbers: 05E30, 94B60

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