Associative spectra of graph algebras I. Foundations, undirected graphs, antiassociative graphs
Combinatorics
2021-05-20 v1 Rings and Algebras
Abstract
Associative spectra of graph algebras are examined with the help of homomorphisms of DFS trees. Undirected graphs are classified according to the associative spectra of their graph algebras; there are only three distinct possibilities: constant 1, powers of 2, and Catalan numbers. Associative and antiassociative digraphs are described, and associative spectra are determined for certain families of digraphs, such as paths, cycles, and graphs on two vertices.
Keywords
Cite
@article{arxiv.2011.07621,
title = {Associative spectra of graph algebras I. Foundations, undirected graphs, antiassociative graphs},
author = {Erkko Lehtonen and Tamás Waldhauser},
journal= {arXiv preprint arXiv:2011.07621},
year = {2021}
}
Comments
21 pages