Amorphic association schemes with negative Latin square type graphs

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dc.creatorDavis, James A.
dc.creatorXiang, Qing
dc.date2004-09-21
dc.date.accessioned2026-07-07T05:12:26Z
dc.date.available2026-07-07T05:12:26Z
dc.descriptionApplying results from partial difference sets, quadratic forms, and recent results of Brouwer and Van Dam, we construct the first known amorphic association scheme with negative Latin square type graphs and whose underlying set is a non-elementary abelian 2-group. We give a simple proof of a result of Hamilton that generalizes Brouwer's result. We use multiple distinct quadratic forms to construct amorphic association schemes with a large number of classes.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0409401
dc.identifierhttp://arxiv.org/abs/math/0409401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72571
dc.subjectCombinatorics
dc.subject05B10; 05E30
dc.titleAmorphic association schemes with negative Latin square type graphs
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