Cayley-type graphs for group-subgroup pairs

Citations of this article
Mendeley users who have this article in their library.


In this paper we introduce a Cayley-type graph for group-subgroup pairs (G,H) and certain subsets S of G. We present some elementary properties of such graphs, including connectedness, degree and partition structure, and vertex-transitivity, relating these properties with those of the underlying group-subgroup pair. From the properties of the underlying structures, some of the eigenvalues can be determined, including the largest eigenvalue of the graph. We present a sufficient condition on the group-subgroup pair (G,H) and the size of S that results on bipartite Ramanujan graphs. Among those Ramanujan graphs there are graphs that cannot be obtained as Cayley graphs. As another application, we propose the use of group-subgroup pair graphs to model linear error-correcting codes.




Reyes-Bustos, C. (2016). Cayley-type graphs for group-subgroup pairs. Linear Algebra and Its Applications, 488, 320–349.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free