an:06693854
Zbl 1358.05241
Alikhani, Saeid; Soltani, Samaneh; Khalaf, Abdul Jalil M.
Distinguishing number and distinguishing index of join of two specific graphs
EN
Adv. Appl. Discrete Math. 17, No. 4, 467-485 (2016).
0974-1658
2016
j
05C78
distinguishing index; distinguishing number; join
Summary: The distinguishing number (index) \(D(G)\) (\(D^\prime(G)\)) of a graph \(G\) is the least integer \(d\) such that \(G\) has a vertex labeling (edge labeling) with \(d\) labels that is preserved only by a trivial automorphism. In this paper, we compute the distinguishing number and the distinguishing index for the join of two specific graphs.