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In this work, we explore edge direction, transitivity, and connectedness of Cayley graphs of gyrogroups. More specifically, we find conditions for a Cayley graph of a gyrogroup to be undirected,… Click to show full abstract
In this work, we explore edge direction, transitivity, and connectedness of Cayley graphs of gyrogroups. More specifically, we find conditions for a Cayley graph of a gyrogroup to be undirected, transitive, and connected. We also show a relationship between the cosets of a certain type of subgyrogroups and the connected components of Cayley graphs. Some examples and applications regarding these findings are provided.
Keywords:
transitivity connectedness;
graphs gyrogroups;
cayley graphs;
connectedness cayley
Journal Title: Heliyon
Year Published: 2021
Link to full text (if available)
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Journal Title: Heliyon
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!