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发表于 2011-6-25 17:37:39
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为了找出这个可合并条件，我们用matlab来构建这个欧拉图。由于上面提到的欧拉回路的等效性，为了省事我们用无机酸在帖子中给出的数字来构建邻接矩阵。
origData = [10, 6, 11, 5, 8, 6, 9, 5, 12, 6, 7, 12, 8, 9, 7, 10, 11, 9, 12, 10, 8, 11, 7, 5, 3, 1, 10, 2, 11, 1, 8, 2, 9, 1, 4, 2, 5, 1, 6, 2, 7, 1, 12, 2, 3, 10, 4, 11, 3, 8, 4, 9, 3, 6, 4, 7, 3, 12, 4, 5];
origDataNum = 60;
graphNodeNum = 12;
graphMat = [zeros(graphNodeNum)];
for i = 1:origDataNum
if i == 1
foreTemp = origData(origDataNum);
else
foreTemp = origData(i -1);
end
if i == origDataNum
backTemp = origData(1);
else
backTemp = origData(i + 1);
end
graphMat(origData(i),foreTemp) = 1;
graphMat(foreTemp,origData(i)) = 1;
graphMat(origData(i),backTemp) = 1;
graphMat(backTemp,origData(i)) = 1;
end
得到邻接矩阵如下
(原文件名:捕获1.PNG)
得到邻接矩阵后我们再来重构建出回路历经顶点，即无机酸贴中的数据类型
采用的算法为 从顶点1开始，选择与当前顶点邻接的最后一条没有被历经过的边为下一条遍历边
graphMatTemp = graphMat;
for i = 1:origDataNum
if i == 1
rebuildData(i) = 1;
end
tempRow = rebuildData(i);
for j = 1:graphNodeNum
tempLine = graphNodeNum - j + 1;
if tempLine > graphNodeNum
tempLine = tempLine - graphNodeNum;
end
if graphMatTemp(tempLine,tempRow) == 0
else
if i == origDataNum
temp = 1;
else
temp = i + 1;
end
rebuildData(temp) = tempLine;
graphMatTemp(tempLine,tempRow) = 0;
graphMatTemp(tempRow,tempLine) = 0;
break;
end
end
end
重构出遍历路径为
1 12 10 11 9 12 8 11 7 12 6 11 5 12 4 11 3 12 2 11 1 10 8 9 7 10 6 9 5 10 4 9 3 10 2 9 1 8 6 7 5 8 4 7 3 8 2 7 1 6 4 5 3 6 2 5 1 4 2 3
定义每一条pcb线条的长度为：包含该顶点的最短的循环线段长度
(未完待续) |
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