论文标题
超立方体最佳嵌入圆柱体中
Optimal embedding of hypercube into cylinder
论文作者
论文摘要
我们研究了嵌入$ n $ dimensional hypercube $ q_n $的Wirelength $ c_ c_ {2^{n_1}} \ times p_ {2^{2^{n_2}} $的问题，其中$ n_1+ n_2 = n $，称为eWhc。我们表明，与灰色代码嵌入相对应的电线长度为$ 2^{n_2}（3 \ cdot 2^{2n_1-3} -2^{n_1-1}）+2^{n_1}（2^{2^{2n_2-1} -2} -2} -2^{n_2-1}）$。此外，我们证明灰色代码嵌入是EWHC的最佳策略。
We study the problem of Embedding Wirelength of $n$-dimensional Hypercube $Q_n$ into Cylinder $C_{2^{n_1}}\times P_{2^{n_2}}$, where $n_1+ n_2=n$, called EWHC. We show that such wirelength corresponding to Gray code embedding is $2^{n_2}(3\cdot 2^{2n_1-3}-2^{n_1-1})+2^{n_1} (2^{2n_2-1}-2^{n_2-1})$. In addition, we prove that Gray code embedding is an optimal strategy of EWHC.
