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

Erkko Lehtonen, Tamás Waldhauser

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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 languageEnglish
JournalJournal of Algebraic Combinatorics
DOIs
Publication statusE-pub ahead of print - 30 Sep 2021

Keywords

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

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