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 Hüning | 1 | 0 | 0.34 |
W. Imrich | 2 | 64 | 20.65 |
Judith Kloas | 3 | 0 | 0.34 |
Hannah Schreiber | 4 | 1 | 0.69 |
Thomas W. Tucker | 5 | 191 | 130.07 |