A 2-parametric generalization of Sierpiński gasket graphs

Graphs ▫$S[n,k]$▫ are introduced as the graphs obtained from the Sierpiński graphs ▫$S(n,k)$▫ by contracting edges that lie in no triangle. The family ▫$S[n,k]$▫ is a previously studied class of Sierpiñski gasket graphs ▫$S_n$▫. Several properties of graphs ▫$S[n,k]$▫ are studied in particular, hamiltonicity and chromatic number