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  1. Home > Articles & Issues >
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  3. Cayley graphs of bas ...
Article

Cayley graphs of basic algebraic structures

Didier Caucal (1)
(1) Laboratoire d'Informatique Gaspard-Monge
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Submitted on
November 5, 2018
Accepted on
March 28, 2020
Published on
April 20, 2020
Last modified on
March 31, 2025
Special issue 21
vol. 21:1, ICGT 2018
DOI
10.23638/DMTCS-21-1-16
License
https://about.hal.science/hal-authorisation-v1
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Cayley graphs of basic algebraic structures

Didier Caucal (1)
(1) Laboratoire d'Informatique Gaspard-Monge
Abstract
We present simple graph-theoretic characterizations for the Cayley graphs of monoids, right-cancellative monoids, left-cancellative monoids, and groups.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • semigroup
  • monoid
  • Cayley graph
  • group
Mathematics Subject Classification 2020
  • 05C25 - Graphs and abstract algebra (groups, rings, fields, etc.)
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