Solve using Discrete Math graph theory. Prove that a connected undirected graph in which every node has exactly degree 2 is a cycle. (Hint: use induction on the number of vertices.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 33E
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Solve using Discrete Math graph theory. Prove that a connected undirected graph in which every node has exactly degree 2 is a cycle. (Hint: use induction on the number of vertices.)
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