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Sierpi\' nski Gasket Graphs and Some of Their Properties

Alberto M. Teguia·Anant P. Godbole
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Abstract

The {\it Sierpiński fractal} or {\it Sierpiński gasket} $Σ$ is a familiar object studied by specialists in dynamical systems and probability. In this paper, we consider a graph $S_n$ derived from the first $n$ iterations of the process that leads to $Σ$, and study some of its properties, including its cycle structure, domination number and pebbling number. Various open questions are posed.

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Alberto M. Teguia, Anant P. Godbole. 2005-09-12. Sierpi\' nski Gasket Graphs and Some of Their Properties. https://arxiv.org/abs/math/0509259

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