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Branches and chords may change according to the spanning tree.”-- Do you agree? Justify your answer
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Solution:
A tree is a connected graph without cycles.
A tree T is said to be a spanning tree of a connected graph G if T is a subgraph of G which spans over all vertices of G.
An edge in a spanning tree T is called a branch.
An edge of G which is not present in the given spanning tree T of G is called a chord.
Let's take an example of the following spanning tree:
Dark lines show branches, while light ones denote chords.
Here we can see that if we change spanning tree, it will surely change braches and chords. For instance, remove b1, we get different spanning tree and thus number of braches and chords will be changed.