The thickness θ(G) of a graph G is the minimum number of planar subgraphs into which G can be decomposed. In this paper, we provide a new upper bound for the thickness of the complete tripartite graphs Kn, n, n (n ≥ 3) and obtain θ(Kn, n, n) = ⌈(n + 1) / 3⌉, when n ≡ 3 (mod 6).
@article{823, title = {Remarks on the thickness of Kn, n, n}, journal = {ARS MATHEMATICA CONTEMPORANEA}, volume = {12}, year = {2016}, doi = {10.26493/1855-3974.823.068}, language = {EN}, url = {http://dml.mathdoc.fr/item/823} }
Yang, Yan. Remarks on the thickness of Kn, n, n. ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016) . doi : 10.26493/1855-3974.823.068. http://gdmltest.u-ga.fr/item/823/