On transitive Cayley graphs of pseudo-unitary homogeneous semigroups

References

• Babai, L. (1995). Automorphism groups, isomorphism, reconstruction. In: Handbook of Combinatorics. Amsterdam: Elsevier, pp. 1447–1540.
   Google Scholar
• Arworn, S., Knauer, U., Na Chiangmai, N. (2003). Characterization of digraphs of right (left) zero unions of groups. Thai J. Math. 1:131–140.
   Google Scholar
• Clifford, A. H., Preston, G. B. (1961 and 1967). The Algebraic Theory of Semigroups, Vols. I and II, Providence, R.I.: Amer. Math. Soc.
   Google Scholar
• Fan, S., Zeng, Y. (2007). On Cayley graphs of bands. Semigroup Forum 74(1):99–105. DOI: 10.1007/s00233-006-0656-8.
   Web of Science ®Google Scholar
• Hao, Y., Gao, X., Luo, Y. (2011). On the Cayley graphs of Brandt semigroups. Commun. Algebra 39(8):2874–2883. DOI: 10.1080/00927872.2011.568028.
   Web of Science ®Google Scholar
• Ilić-Georgijević, E. (2015). On graded Ω-groups. Filomat. 29(10):2167–2183.
   Web of Science ®Google Scholar
• Ilić-Georgijević, E. (2016). On graded Brown–McCoy radicals of graded rings. J. Algebra Appl. 15(08):1650143. (arXiv:1904.00033) DOI: 10.1142/S0219498816501437.
   Web of Science ®Google Scholar
• Ilić-Georgijević, E. (2018). On the Jacobson and Simple Radicals of Semigroups. Filomat. 32(7):2577–2582.
   Web of Science ®Google Scholar
• Ilić-Georgijević, E. (2019). On radicals of graded ring constructions. Rings, Modules and Codes, Contemp. Math. 727, Amer. Math. Soc., Providence RI, p. 167–176.
   Google Scholar
• Ilić-Georgijević, E. (2020). Notes on the graded Jacobson radical: a graded version of the Jacobson stable set. Commun. Algebra 48(6):2624–2631. DOI: 10.1080/00927872.2020.1721730.
   Web of Science ®Google Scholar
• Ilić-Georgijević, E. (2020). A description of the Cayley graphs of homogeneous semigroups. Commun. Algebra 48(12):5203–5214. DOI: 10.1080/00927872.2020.1783279.
   Web of Science ®Google Scholar
• Ilić-Georgijević, E. (2021). On the Jacobson radical of a groupoid graded ring. J. Algebra 573:561–575. DOI: 10.1016/j.jalgebra.2021.01.007.
   Web of Science ®Google Scholar
• Kelarev, A. V. (1994). Combinatorial properties and homomorphisms of semigroups. Int. J. Algebra Comput. 04 (03):443–450. DOI: 10.1142/S0218196794000087.
   Google Scholar
• Kelarev, A. V. (1995). On groupoid graded rings. J. Algebra 178(2):391–399. DOI: 10.1006/jabr.1995.1355.
   Web of Science ®Google Scholar
• Kelarev, A. V. (2002). On undirected Cayley graphs. Australas. J. Combin. 25:73–78.
   Google Scholar
• Kelarev, A. V. (2002). Ring Constructions and Applications. Series in Algebra, Vol. 9, New Jersey: World Scientific.
   Google Scholar
• Kelarev, A. V. (2003). Graph Algebras and Automata. New York: Marcel Dekker.
   Google Scholar
• Kelarev, A. V. (2004). Labelled Cayley graphs and minimal automata. Australas. J. Combin. 30:95–101.
   Google Scholar
• Kelarev, A. V. (2006). On Cayley graphs of inverse semigroups. Semigroup Forum 72(3):411–418. DOI: 10.1007/s00233-005-0526-9.
   Web of Science ®Google Scholar
• Kelarev, A. V., Plant, A. (1995). Bergman’s lemma for graded rings. Commun. Algebra 23(12):4613–4624. DOI: 10.1080/00927879508825490.
   Web of Science ®Google Scholar
• Kelarev, A. V., Praeger, C. E. (2003). On transitive Cayley graphs of groups and semigroups. Eur. J. Combin. 24(1):59–72. DOI: 10.1016/S0195-6698(02)00120-8.
   Web of Science ®Google Scholar
• Kelarev, A. V., Quinn, S. J. (2002). A combinatorial property and Cayley graphs of semigroups. Semigroup Forum 66(1):89–96. DOI: 10.1007/s002330010162.
   Web of Science ®Google Scholar
• Kelarev, A. V., Ras, C., Zhou, S. (2015). Distance labellings of Cayley graphs of semigroups. Semigroup Forum 91(3):611–624. DOI: 10.1007/s00233-015-9748-7.
   Web of Science ®Google Scholar
• Kelarev, A. V., Ryan, J., Yearwood, J. L. (2009). Cayley graphs as classifiers for data mining: The influence of asymmetries. Discrete Math. 309(17):5360–5369. DOI: 10.1016/j.disc.2008.11.030.
   Web of Science ®Google Scholar
• Khosravi, B. (2009). On Cayley graphs of left groups. Houston J. Math. 35(3):745–755.
   Web of Science ®Google Scholar
• Khosravi, B. (2018). On the Cayley graphs of completely simple semigroups. Bull. Malays. Math. Sci. Soc. 41:741–749.
   Web of Science ®Google Scholar
• Khosravi, B. (2018). Graphs and ranks of monoids. Commun. Algebra 46(7):3006–3013. DOI: 10.1080/00927872.2017.1404092.
   Web of Science ®Google Scholar
• Khosravi, B., Khosravi, B. (2012). A characterization of Cayley graphs of Brandt semigroups. Bull. Malays. Math. Sci. Soc. 35(2):399–410.
   Web of Science ®Google Scholar
• Khosravi, B., Khosravi, B. (2013). On Cayley graphs of semilattices of semigroups. Semigroup Forum 86(1):114–132. DOI: 10.1007/s00233-012-9384-4.
   Web of Science ®Google Scholar
• Khosravi, B., Khosravi, B. (2014). On combinatorial properties of bands. Commun. Algebra 42(3):1379–1395. DOI: 10.1080/00927872.2012.740644.
   Web of Science ®Google Scholar
• Khosravi, B., Mahmoudi, M. (2010). On Cayley graphs of rectangular groups. Discrete Math. 310(4):804–811. DOI: 10.1016/j.disc.2009.09.015.
   Web of Science ®Google Scholar
• Khosravi, B., Khosravi, B., Khosravi, B. (2014). On color-automorphism vertex transitivity of semigroups. Eur. J. Combin. 40:55–64. DOI: 10.1016/j.ejc.2014.02.006.
   Web of Science ®Google Scholar
• Kilp, M., Knauer, U., Mikhalev, A. (2000). Monoids, Acts and Categories. Berlin, New York: Walter de Gruyter.
   Google Scholar
• Knauer, U., Knauer, K. (2019). Algebraic Graph Theory. Morphisms, Monoids and Matrices. Berlin, Boston: De Gruyter.
   Google Scholar
• Panma, S., Knauer, U., Arworn, S. (2004). On transitive Cayley graphs of right (left) groups and of Clifford semigroups. Thai J. Math. 2(1):183–195.
   Google Scholar
• Panma, S., Knauer, U., Arworn, S. (2009). On transitive Cayley graphs of strong semilattices of right (left) groups. Discrete Math. 309(17):5393–5403. DOI: 10.1016/j.disc.2008.11.038.
   Web of Science ®Google Scholar
• Panma, S., Na Chiangmai, N., Knauer, U., Arworn, S. (2006). Characterizations of Clifford semigroup graphs. Discrete Math. 306(12):1247–1252. DOI: 10.1016/j.disc.2005.10.028.
   Web of Science ®Google Scholar
• Wang, S. F., Li, Y. H. (2013). On Cayley graphs of completely 0-simple semigroups. Cent. Eur. J. Math. 11:924–930.
   Web of Science ®Google Scholar
• Wang, S. F., Zhang, D. (2012). A classification of vertex-transitive Cayley digraphs of strong semilattices of completely simple semigroups. Math. Slovaca. 62:829–840.
   Web of Science ®Google Scholar
• Yang, D., Gao, X. (2010). D-saturated property of the Cayley graphs of semigroups. Semigroup Forum 80(1):174–180. DOI: 10.1007/s00233-009-9195-4.
   Web of Science ®Google Scholar
• Zhu, Y. (2012). Generalized Cayley graphs of semigroups I. Semigroup Forum 84(1):131–143. DOI: 10.1007/s00233-011-9368-9.
   Web of Science ®Google Scholar
• Zhu, Y. (2016). On transitive generalized Cayley graphs of semigroups. Semigroup Forum 93(2):247–263. DOI: 10.1007/s00233-015-9762-9.
   Web of Science ®Google Scholar