a) Show that the number of leaves in an n-vertex tree with maximum degree A > 2 lies n(A–2)+2 A-1 between A and

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Chapter2: Second-order Linear Odes
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Please solve 3a

3)
а)
Show that the number of leaves in an n-vertex tree with maximum degree A>2 lies
n(A-2)+2
A-1
between A and
Give an example of each of the following:
i)
A graph G with x(G) > @(G) = 3
ii)
A graph G which is 4-critical.
Transcribed Image Text:3) а) Show that the number of leaves in an n-vertex tree with maximum degree A>2 lies n(A-2)+2 A-1 between A and Give an example of each of the following: i) A graph G with x(G) > @(G) = 3 ii) A graph G which is 4-critical.
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