Kelarev, A. V.; Quinn, S. J. A combinatorial property and power graphs of semigroups. (English) Zbl 1099.05042 Commentat. Math. Univ. Carol. 45, No. 1, 1-7 (2004). The paper gives a necessary and sufficient condition of combinatorial type when any finite subgraph of the power graph of a given semigroup contains a given graph as a subgraph. This result extends previous work on groups of the authors of this paper [A combinatorial property and power graphs of groups, in: D. Dorninger (ed.) et al., Contributions to general algebra (Klagenfurt: Verlag Johannes Heyn. 229-235) (2000; Zbl 0966.05040)]. Reviewer: Jiří Fiala (Praha) Cited in 32 Documents MSC: 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) Citations:Zbl 0966.05040 PDF BibTeX XML Cite \textit{A. V. Kelarev} and \textit{S. J. Quinn}, Commentat. Math. Univ. Carol. 45, No. 1, 1--7 (2004; Zbl 1099.05042) Full Text: EuDML EMIS OpenURL