Motivated by the existing 3-equitable labeling of graphs, in this paper we introduce a new graph labeling called 3-equitable total labeling and we investigate the 3-equitable total labeling of several families of graphs such as \(C_n\), \(W_n\), \(SL_n\), \(S(K_{4,n})\) and \(K_n^{(4)}\).
Keywords: 3-equitable labeling, 3-equitable total labeling.
Citation
KM Kathiresan, R. Sivakumar. 3-equitable total labeling of graphs[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 113. 155-163. .