Fundamental Cutsets Explained: Get Guided with Examples

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Fundamental cutsets are defined as sets of edges whose removal separates a graph into multiple components. A fundamental cutset includes one branch from a spanning tree and may also contain additional chords. To better understand this concept, examples and resources can be found through online searches and textbooks on graph theory. Engaging with these materials can enhance comprehension of fundamental cutsets. Exploring these resources is essential for mastering the topic.
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Homework Statement


I have difficulty in understanding the meaning of fundamental cutsets.I don't really know how to find the fundamental cutsets.Can someone please guide me.It would be the best if there are any examples and links cited for me.Thanks in advance..


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The Attempt at a Solution

 
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I'm not too good on this but I'll have a go trying to help you! :smile:

As far as I understand, a cutset is "a set of edges whose removal would break up the graph into two or more components".

Consider a spanning tree T in a graph G. A fundamental cutset S is a cutset which contains exactly one branch from T (and also some other chords if necessary). http://rbmix.com/math/graphth/grp.php

There's numerous sources around online, try your own Google search, and of course there should be some content in good ol' books. :wink:
 
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