Some properties of the generalized sierpi\'{n}ski gasket graphs

Document Type : Research Paper

Authors

Department of pure Mathematics, Faculty of Mathematical Sciences , University of Guilan, P.O.Box 41335-19141, Rasht, Iran

10.22108/toc.2024.138919.2098

Abstract

The generalized Sierpi'{n}ski gasket graphs $S[G,t]$ are introduced as the graphs obtained from the Sierpi'{n}ski 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 Sierpi'{n}ski 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.

Keywords

Main Subjects


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Articles in Press, Accepted Manuscript
Available Online from 28 February 2024
  • Receive Date: 28 August 2023
  • Revise Date: 16 February 2024
  • Accept Date: 28 February 2024
  • Published Online: 28 February 2024