Published May 6, 2011 | Version public
Journal Article

The distance spectra of Cayley graphs of Coxeter groups

  • 1. ROR icon California State University, Long Beach
  • 2. ROR icon California Institute of Technology

Abstract

The absolute (respectively, weak) order graph on a Coxeter group is the graph underlying the absolute (respectively, weak) order poset. We investigate the distance spectra of many of these graphs and pose several open problems.

Additional Information

© 2011 Elsevier B.V. Received 11 March 2010; revised 14 January 2011; accepted 19 January 2011. Available online 16 February 2011. The author gratefully acknowledges the support of David Wales, Rick Wilson, and the mathematics department of the California Institute of Technology. He would also like to thank David Wales for valuable discussions, Claire Levaillant for helpful email correspondence, and an anonymous referee for his careful reading of the manuscript and for his comments which resulted in significant improvements to the paper.

Additional details

Identifiers

Eprint ID
23445
Resolver ID
CaltechAUTHORS:20110425-095752172

Funding

Caltech Mathematics Department

Dates

Created
2011-04-25
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Updated
2021-11-09
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