@article{2610f399c9ca46e18f386f5c19464d62,
title = "Associative spectra of graph algebras II: Satisfaction of bracketing identities, spectrum dichotomy",
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.",
keywords = "Associative spectrum, Catalan number, DFS tree, Graph algebra",
author = "Erkko Lehtonen and Tam{\'a}s Waldhauser",
note = "Funding Information: This work is funded by National Funds through the FCT—Funda{\c c}{\~a}o para a Ci{\^e}ncia e a Tecnologia, I.P., under the scope of the Project UIDB/00297/2020 (Center for Mathematics and Applications) and the Project PTDC/MAT-PUR/31174/2017. Funding Information: Research partially supported by the Hungarian Research, Development and Innovation Office Grant K115518, and by Grant TUDFO/47138-1/2019-ITM of the Ministry for Innovation and Technology, Hungary. Publisher Copyright: {\textcopyright} 2021, The Author(s).",
year = "2021",
month = sep,
day = "30",
doi = "10.1007/s10801-021-01061-7",
language = "English",
journal = "Journal of Algebraic Combinatorics",
issn = "0925-9899",
publisher = "Springer Verlag",
}