Abstract

AbstractIn this paper a new pyramidal topology for multicomputer interconnection networks based on the sierpinski gasket network is proposed. The Sierpinski fractal or Sierpinski gasket is a familiar object studied by specialists in dynamical systems and probability. The new network is referred to as the sierpinski gasket pyramid. We study the topological properties such as connectivity, diameter, chromatic number, hamiltonicity, pancyclicity and K 4-decomposition of the new pyramid network.KeywordsSierpinski gasket pyramidSierpinski gasket graphChromatic numberHamilton cyclePancyclicDecomposition

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