least a single cut set
时间: 2024-05-12 07:18:57 浏览: 17
A cut set is a set of edges in a graph that, if removed, would disconnect the graph into two or more separate components. The size of a cut set is the number of edges in the set.
To find the smallest cut set in a graph, we can use the Max-Flow Min-Cut theorem, which states that the maximum flow through a network is equal to the minimum capacity of any cut set in the network.
Here is an example of a graph and its cut sets:
Graph:
```
A----B
/| |\
/ | | \
C--D----E--F
\ | | /
\| |/
G----H
```
Cut sets:
- {AB, BE}
- {AB, BD, DG}
- {AB, BD, DE, EF}
- {AB, BE, EF}
- {AB, BE, EF, FH, HG}
- {AC, CD, DG}
- {AD, DG}
- {DE, EF, FH, HG}
- {DE, EF, EH, HG}
- {BE, EH, HG}
The smallest cut set in this graph is {AB, BE}, which has a size of 2.
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