The subconstituent algebra of strongly regular graphs associated with a Latin square |
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Authors: | Brian Curtin Ibtisam Daqqa |
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Institution: | (1) Department of Mathematics and Statistics, University of South Florida, 4202 E. Fowler Ave. PHY114, Tampa, FL 33620, USA |
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Abstract: | It is well-known that one may construct several strongly regular graphs on the positions of a Latin square, where adjacency
corresponds to any subset of the relations on distinct positions of being in the same row, being in the same column, having
the same entry, or none of these. We describe the local spectrum and subconstituent (Terwilliger) algebras of such strongly
regular graphs.
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Keywords: | Terwilliger algebra Bose– Mesner algebra Association scheme Local spectrum |
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