AUTOMORPHISM GROUPS IN LOTUS GRAPH AND UNIFORM BOW GRAPH
DOI:
https://doi.org/10.25077/jmua.14.4.311-319.2025Abstract
This research aims to explore the connection between abstract algebra
and graph theory through the study of lotus graph and uniform bow graph. The focus is
on determining all automorphisms of both graphs and analyzing the algebraic structure
they form. It is shown that the set of automorphisms, under composition, satisfies the
group axioms, thus illustrating a natural link between group theory and graph theory.
Keywords: Automorphism group, lotus graph, uniform bow graph.
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