Vozliščna, povezavna in skupna barvanja grafov Sierpińskijevega tipa

Obravnavana so vozliščna, povezavna in skupna barvanja grafov Sierpińskijevih rešetk ▫$S_n$▫, Sierpińskijevih grafov ▫$S(n,k)$▫, grafov ▫$S^+(n,k)$▫ in grafov ▫$S^{++}(n,k)$▫. V posebnem je dokazano, da velja ▫$chi\u27\u27(S_n)$▫, ▫$chi\u27(S(n,k))$▫, ▫$chi(S^+(n,k))$▫, ▫$chi(S^{++}(n,k))$▫, ▫$chi\u27(S^+(n,k))$▫ in ▫$chi\u27(S^{++}(n,k))$▫.Vertex-colorings, edge-colorings and total-colorings of the Sierpiński gasket graphs ▫$S_n$▫, the Sierpiński graphs ▫$S(n,k)$▫, graphs ▫$S^+(n,k)$▫, and graphs ▫$S^{++}(n,k)$▫ are considered. In particular ▫$chi\u27\u27(S_n)$▫, ▫$chi\u27(S(n,k))$▫, ▫$chi(S^+(n,k))$▫, ▫$chi(S^{++}(n,k))$▫, ▫$chi\u27(S^+(n,k))$▫ and ▫$chi\u27(S^{++}(n,k))$▫ are determined