中文摘要：

针对具有曼哈顿模型的一类通道布线，提出了一个依据图论模型的最优轨道高度布线算法。算法根据通道上结点的水平约束图和垂直约束图，依次安排好每一个结点的布线轨道，进而通过通孔可以把所有的结点在2层轨道上布线完成。通过计算分析，该算法相对以前的算法能够达到更优的布线高度，并且其复杂性保持不变。

英文摘要：

For a channel in 2-layer Manhattan model, this paper aims at interconnecting the terminals of each net by wires such that the circuit elements and the interconnecting wires are embedded into two planar layers by the methods of graph theory. Furthermore, the width（number of tracks required for routing） of a channel should be minimized. The constraints of a channel routing problem can be represented by a Horizontal Constraint Graph（HCG） and a Vertical Constraint Graph （VCG）. Considering the two constraints, the paper improves the upper bound, it shows that this algorithm is better than the best known algorithm.