Vertex-transitive generalized Cayley graphs which are not Cayley graphs. (May 2015)

• Record Type: Journal Article
• Authors: Hujdurović, Ademir; Kutnar, Klavdija; Marušič, Dragan
• Is Part Of: European journal of combinatorics. Volume 46(2015:May)
• Page Start: 45
• Page End: 50
• Publication Date: 2015-05
• Subjects: Combinatorial analysis -- Periodicals; Analyse combinatoire -- Périodiques; Combinatorial analysis; Periodicals; Electronic journals; 511.6
• DOI: 10.1016/j.ejc.2014.11.007
• Languages: English
• ISSNs: 0195-6698

Abstract

Abstract: The concept of generalized Cayley graphs was introduced by Marušič et al. (1992), where it was asked if there exists a vertex-transitive generalized Cayley graph which is not a Cayley graph. In this paper the question is answered in the affirmative with a construction of two infinite families of such graphs. It is also proven that every generalized Cayley graph admits a semiregular automorphism.