The Basic Locally Primitive Graphs of Order Twice a Prime Square

Y Ma, B Lou - Mathematics, 2022 - mdpi.com
A graph Γ is called G-basic if G is quasiprimitive or bi-quasiprimitive on the vertex set of Γ,
where G⩽ Aut (Γ). It is known that locally primitive vertex-transitive graphs are normal covers …

Pentavalent Cayley graphs of order twice a prime square with solvable automorphism groups

MR Salarian, F Abedi - Journal of Algebra and Its Applications, 2023 - World Scientific
A Cayley graph Cay (G, S) on a finite group G is said to be normal if the right regular
representation R (G) of G is normal in the full automorphism group of Cay (G, S). In this …