4. A tree is a graph containing no circuits. Let T be a tree with 12 vertices that has exactly 3 vertices of degree 3 and exactly one vertex of degree 2. a. Find the degree sequence of T. b. Find two different trees with this degree sequence (they need to be more than visually different but should have a different edge set)
4. A tree is a graph containing no circuits. Let T be a tree with 12 vertices that has exactly 3 vertices of degree 3 and exactly one vertex of degree 2. a. Find the degree sequence of T. b. Find two different trees with this degree sequence (they need to be more than visually different but should have a different edge set)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. A tree is a graph containing no circuits. Let T be a tree with 12 vertices that has exactly 3
vertices of degree 3 and exactly one vertex of degree 2.
a. Find the degree sequence of T.
b. Find two different trees with this degree sequence (they need to be more than
visually different but should have a different edge set)
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