Abstract | ||
---|---|---|
The determining number or fixing number of a graph Γ is the smallest size of a subset of vertices S of Γ such that any automorphism of Γ that stabilizes S stabilizes all of Γ. The determining set D(G) of a finite group G is the set of all determining numbers of all finite graphs for which G is the automorphism group. |
Year | DOI | Venue |
---|---|---|
2019 | 10.1016/j.disc.2019.06.001 | Discrete Mathematics |
Keywords | Field | DocType |
Base size,Determining number,Fixing number,Group action,Automorphism group | Abelian group,Discrete mathematics,Graph,Combinatorics,Finite set,Algebra,Dihedral group,Automorphism,Elementary divisors,Mathematics | Journal |
Volume | Issue | ISSN |
342 | 11 | 0012-365X |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Joshua D. Laison | 1 | 38 | 7.08 |
Erin M. McNicholas | 2 | 0 | 0.34 |
Nicole S. Seaders | 3 | 0 | 0.34 |