Title
Distinguishing graphs of maximum valence 3
Abstract
The distinguishing number D(G) of a graph G is the smallest number of colors that is needed to color the vertices such that the only color-preserving automorphism fixes all vertices. We give a complete classification for all connected graphs G of maximum valence Delta(G) = 3 and distinguishing number D(G) = 3. As one of the consequences we show that all infinite connected graphs with Delta(G) = 3 are 2-distinguishable.
Year
Venue
Field
2019
ELECTRONIC JOURNAL OF COMBINATORICS
Discrete mathematics,Graph,Valence (chemistry),Combinatorics,Automorphism,Mathematics
DocType
Volume
Issue
Journal
26
4
ISSN
Citations 
PageRank 
1077-8926
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Svenja Hüning100.34
W. Imrich26420.65
Judith Kloas300.34
Hannah Schreiber410.69
Thomas W. Tucker5191130.07