Topology

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thexy

Joined Dec 13, 2015
130
upload_2016-5-29_13-35-5.png

This is circuit with its fundamental tree and I have to form cut set matrix (topology of el. circuits). Can someone explain me how do I make combinations of which lines are going in loop?

Thank you.
 

WBahn

Joined Mar 31, 2012
30,082
I've never heard of cutsets before, but that link I provided seems to do a reasonable job of explaining them, but not a superior job.

Here's a layman's explanation that might help.

Your tree connects every node in the graph without any cycles. If you pick any branch in the tree, all of the nodes are either on one side of it or the other. So cutting just the branch will split the tree into to two smaller trees. But there may also be links (branches in the graph that are not in the tree) that connects nodes in one tree to nodes in the other. So you have to cut those links as well in order to separate the graph as a whole into two graphs. The set of branches (tree branches as well as links) that have to be cut to do this is the cutset.
 
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