Name
Abstract | ||
|---|---|---|
We study the family of 2-geodesic-transitive Cayley graphs for dihedral groups. Let Gamma = Cay(T, S) be a 2-geodesic-transitive graph which is not 2-arc-transitive, where T congruent to D-2n,, n >= 3. We prove that: F is not normal, Aut(F) is not quasiprimitive on V(Gamma) and S contains both involutions and noninvolutions; either Gamma congruent to K-x[y] for some x >= 3, y >= 2, xy = 2n, or F is a cover of an arc-transitive complete graph Kr where r(not equal n) is an element of {16, p, q(d)-1/q-1}, p > 3 is a prime, q is a prime power and d >= 3. |
Year | Venue | Keywords |
|---|---|---|
2018 | ARS COMBINATORIA | Cayley graph,2-geodesic-transitive graph,dihedral |
Field | DocType | Volume |
Discrete mathematics,Combinatorics,Dihedral group,Cayley graph,Mathematics,Geodesic,Transitive relation | Journal | 137 |
ISSN | Citations | PageRank |
0381-7032 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wei Jin | 1 | 83 | 25.25 |
| Jicheng Ma | 2 | 0 | 0.68 |