키워드 : 교차큐브, 메쉬, 임베딩, 연장율, 확장율
Embedding a Mesh into a Crossed CubeKim, Sook-Yeon †
ABSTRACTThe crossed cube has received great attention because it has equal or superior properties to the hypercube that is widely known as a versatile parallel processing system. It has been known that a mesh of size m 2 2 × can be embedded into a crossed cube with dilation 1and expansion 1 and a mesh of size m 2 4 × with dilation 1 and expansion 2. However, as we know, it has been a conjecture that a mesh with more than eight rows and columns can be embedded into a crossed cube with dilation 1. In this paper, we show that a mesh of size
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