On semisymmetric cubic graphs of order \(10p^3\). (English) Zbl 1239.05087
Summary: Connected cubic graphs of order \(10p^3\) which admit an automorphism group acting semisymmetrically are investigated. We prove that every connected cubic edge-transitive graph of order \(10p^3\) is vertex-transitive, where \(p\) is a prime.
MSC:
| 05C25 | Graphs and abstract algebra (groups, rings, fields, etc.) |
| 05C10 | Planar graphs; geometric and topological aspects of graph theory |
| 20B25 | Finite automorphism groups of algebraic, geometric, or combinatorial structures |
