Prove that a tree with n vertices has n-1 edges

In this video, I will show you how to prove that a tree with n vertices or nodes has n-1 edges using proof by induction. For example, if you are given a tree with 10 vertices or nodes, then you know for sure that there are 9 edges. So, what exactly is a tree? A tree is an undirected graph that is a connected graph and has no cycles, parallel edges, or loops. I will prove this statement using mathematical statement. The induction proof that a tree of n nodes has n-1 edges is a basic theorem in graph theory which is important in both discrete math and computer science classes. If you are given a graph of n vertices with no cycles, loops, or parallel edges, and you find out that the graph has exactly n-1 edges, then you know that it is a tree.
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[@yourinternetfriend.7817]

Thank you so much ! This was really quick to learn and helpful to understand…just watching this video before my exams 😂😂

[@QuocDatPhung]

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[@sakshishrivastava9839]

Thankyou so much sir....
❤from india

[@QuocDatPhung]

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[@areyawn4952]

Thank you so much was very helpful

[@QuocDatPhung]

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Cam on nhieu!

[@QuocDatPhung]

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