Construction Compressed Quadtree into M-Dimensional Crossed Cubes via the Embedding

Aymen Takie Eddine Selmi, Mohamed Faouzi Zerarka, Abdelhakim Cheriet · 2022

In parallel computing, an optimal graph embedding is to map nodes and edges of a guest graph onto nodes and paths of a host graph. Quadtrees are an important technique to present spatial based on the principle of recursive decomposition of space. We describe an efficient function to construct a compressed quadtree in crossed cubes topology using embedding technique. Our algorithm takes dilation as principle criteria for determining embedding efficiency.

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