The total degree of a tree with m vertices is (2m-2). True O False
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:The total degree of a tree with m vertices is (2m-2).
True
O False
Expert Solution
Step 1:-introduction
•The degree of a vertex v of a graph G is the number of edges incident on v with self loop contribute twice.
•Theorem:-The degree sum of a graph is twice of the number of edges.
And •tree is a connected and cycle free graph.
• There is one and only one path between every pair of vertices in a graph is a tree T and conversely.
•Theorem:-A tree with n vertices has (n-1) vertices.
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