SierpińSki Gasket Graphs and Some of Their Properties

Document Type

Article

Publication Date

12-1-2006

Description

The Sierpiński fractal or Sierpiński 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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