Geodesic
Some algebraic properties of Sierpiński-type graphs
Ars Mathematica Contemporanea, Tome 20 (2021) no. 2, pp. 171-186.

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This paper deals with some of the algebraic properties of Sierpiński graphs and a family of regular generalized Sierpiński graphs. For the family of regular generalized Sierpiński graphs, we obtain their spectrum and characterize those graphs that are Cayley graphs. As a by-product, a new family of non-Cayley vertex-transitive graphs, and consequently, a new set of non-Cayley numbers are introduced. We also obtain the Laplacian spectrum of Sierpiński graphs in some particular cases, and make a conjecture on the general case.
DOI : 10.26493/1855-3974.2199.97e
Keywords: Sierpiński graph, spectrum, Laplacian, Cayley graph, non-Cayley number 
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Mohammad Farrokhi Derakhshandeh Ghouchan; Ebrahim Ghorbani; Hamid Reza Maimani; Farhad Rahimi Mahid. Some algebraic properties of Sierpiński-type graphs. Ars Mathematica Contemporanea, Tome 20 (2021) no. 2, pp. 171-186. doi : 10.26493/1855-3974.2199.97e. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2199.97e/

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