Year: 2025
Type: article
Abstract: We characterize trees, block graphs, and odd cycles in the class of geodetic graphs using the algebraic structure induced by the travel operation.We then obtain a criterion for associative triples in travel groupoids on geodetic graphs.Finally, we extend the characterization of homomorphisms between travel groupoids from trees to general geodetic graphs.
Source: Discrete Mathematics Letters
Authors: Sergiy Kozerenko, Yur-Liubomysl Dekhtiar
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7117782148
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