首页 \ 问答 \ 深度优先搜索Satstuma Graph(Depth first search in Satstuma Graph)

深度优先搜索Satstuma Graph(Depth first search in Satstuma Graph)

有没有简单的方法在.NET中使用Satsuma Graph进行深度优先搜索 ? 在Satsuma文档中我发现clas DFS是抽象的,所以它不能有任何实例,我不知道如何使用它。

satsuma.dfs文档

我是否必须为继承自satsuma.dfs的DFS创建自己的类? 我没有找到任何使用satsuma.dfs类的例子。

谢谢


Is there any easy way to do depth first search on graph using Satsuma Graph in .NET? In the Satsuma documentation i have found that clas DFS is abstract, so it cant have any instances and i dont know how to use it.

satsuma.dfs documentation

do i have to make my own class for DFS which inherits from satsuma.dfs? I didnt find any examples of using satsuma.dfs class.

Thx


原文:https://stackoverflow.com/questions/36981421
更新时间:2019-12-09 10:04

最满意答案

你的计算错了。 我在这里假设T(0)=0

T(n) =                       2T(n-1)+  4 
     =   2(2T(n-2)+4)+  4 =  4T(n-2)+ 12
     =   4(2T(n-3)+4)+ 12 =  8T(n-3)+ 28 
     =   8(2T(n-4)+4)+ 28 = 16T(n-4)+ 60
     =  16(2T(n-5)+4)+ 60 = 32T(n-5)+124
     =  32(2T(n-6)+4)+124 = 64T(n-6)+252

然后现在:看看序列

0,4,12,28,60,124,252,508,1020,2044,...

在所有这些数字中添加4是非常诱人的:

4,8,16,32,64,128,256,512,1024,2048,...

你认出来了吗? 所以猜测很明显

T(n) = 2^(n+2) - 4

现在,您可以通过归纳轻松证明它。

顺便说一下,如果T(0)不等于0则公式为

T(n) = 2^(n+2) - 4 + T(0)*2^n

Your computation are wrong. I'm assuming here that T(0)=0

T(n) =                       2T(n-1)+  4 
     =   2(2T(n-2)+4)+  4 =  4T(n-2)+ 12
     =   4(2T(n-3)+4)+ 12 =  8T(n-3)+ 28 
     =   8(2T(n-4)+4)+ 28 = 16T(n-4)+ 60
     =  16(2T(n-5)+4)+ 60 = 32T(n-5)+124
     =  32(2T(n-6)+4)+124 = 64T(n-6)+252

Then now: look at the sequence

0,4,12,28,60,124,252,508,1020,2044,...

It is very tempting to add 4 to all these numbers:

4,8,16,32,64,128,256,512,1024,2048,...

Do you recognize it ? So the guess is clearly

T(n) = 2^(n+2) - 4

Now, you can easily prove it by induction.

By the way if T(0) is not equal to 0 the formula is

T(n) = 2^(n+2) - 4 + T(0)*2^n

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