University of IsfahanTransactions on Combinatorics2251-865720240427Some properties of the generalized sierpi\'{n}ski gasket graphs2824510.22108/toc.2024.138919.2098ENFatemehAttarzadehDepartment of pure Mathematics, Faculty of Mathematical Sciences , University of Guilan, P.O.Box 41335-19141, Rasht,
IranAhmadAbasiDepartment of pure Mathematics, Faculty of Mathematical Sciences , University of Guilan, P.O.Box 41335-19141, Rasht,
Iran0000-0001-8467-7737MonaGholamnia TaleshaniDepartment of pure Mathematics, Faculty of Mathematical Sciences , University of Guilan, P.O.Box 41335-19141, Rasht,
IranJournal Article20230828The generalized Sierpiński gasket graphs $S[G,t]$ are introduced as the graphs obtained from the Sierpiński graphs $S(G,t)$ by contracting single edges between copies of previous phases. The family $S[G,t]$ is a generalization of a previously studied class of generalized Sierpiński gasket graphs $S[n,t]$. In this paper, several properties of $S[G,t]$ are studied. In particular, adjacency of vertices, degree sequence, general first Zagreb index, hamiltonicity, and Eulerian.https://toc.ui.ac.ir/article_28245_821e9d6de23dcb4cfaf1ac418d5551c0.pdf