Title
Base Size Sets and Determining Sets
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. Laison1387.08
Erin M. McNicholas200.34
Nicole S. Seaders300.34