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Commuting involution graphs for \(\tilde{A}_{n}\)

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Abstract.

In this article we consider the commuting graphs of involution conjugacy classes in the affine Weyl group \(\tilde{A}_{{n.}}\) We show that where the graph is connected the diameter is at most 6.

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Authors and Affiliations

  1. School of Economics, Mathematics and Statistics, Birkbeck College, Malet Street, London, WC1E 7HX, United Kingdom

    Sarah Perkins

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  1. Sarah Perkins
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Correspondence to Sarah Perkins.

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Received: 24 February 2005

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Perkins, S. Commuting involution graphs for \(\tilde{A}_{n}\) . Arch. Math. 86, 16–25 (2006). https://doi.org/10.1007/s00013-005-1485-9

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  • DOI: https://doi.org/10.1007/s00013-005-1485-9

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