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P- and Q-Polynomial Association Schemes and Their Antipodal P-Polynomial Covers

✍ Scribed by Paul Terwilliger


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
92 KB
Volume
14
Category
Article
ISSN
0195-6698

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✦ Synopsis


We find a condition on the intersection numbers of any (P) - and (Q)-polynomial association scheme (Y) with diameter at least 3, that holds if (Y) has an antipodal (P)-polynomial cover with diameter at least 7. If (Y) is a known example of a (P) - and (Q)-polynomial association scheme with diameter at least 3, our condition holds iff (Y) has an antipodal (P)-polynomial cover with diameter at least 7 .


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