Associative spectra of graph algebras II: Satisfaction of bracketing identities, spectrum dichotomy

Erkko Lehtonen, Tamás Waldhauser

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A necessary and sufficient condition is presented for a graph algebra to satisfy a bracketing identity. The associative spectrum of an arbitrary graph algebra is shown to be either constant or exponentially growing.

Original languageBritish English
Pages (from-to)533-557
Number of pages25
JournalJournal of Algebraic Combinatorics
Volume55
Issue number2
DOIs
StatePublished - Mar 2022

Keywords

  • Associative spectrum
  • Catalan number
  • DFS tree
  • Graph algebra

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