Gregory Robson: On bi-coset (di)graphs and their automorphism groups

Povzetek/Abstract: Bi-coset graphs, introduced by Du and Xu in 2000, serve as a comprehensive description for all semi-transitive graphs. Bi-coset (di)graphs can be thought of as extensions of Haar (di)graphs, also known as bi-Cayley (di)graphs. The focus of this discussion is to find strong constraints on the automorphism groups associated with bi-coset (di)graphs. In simpler terms, we aim to better understand the inherent structures and symmetries of these (di)graphs.