Sierpi\' nski Gasket Graphs and Some of Their Properties
Abstract
The Sierpi\'nski fractal or Sierpi\'nski gasket is a familiar object studied by specialists in dynamical systems and probability. In this paper, we consider a graph Sn derived from the first n iterations of the process that leads to , and study some of its properties, including its cycle structure, domination number and pebbling number. Various open questions are posed.
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