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2. Prove the following and make a sketch. a) Prove that every Eulerian graph of odd order has three vertices of the same degree. b) If every vertex in a graph G is even, no edge in that graph is a bridge.

2. Prove the following and make a sketch. a) Prove that every Eulerian graph of odd order has three vertices of the same degree. b) If every vertex in a graph G is even, no edge in that graph is a bridge.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.5: The Format Proof Of A Theorem
Problem 12E: Based upon the hypothesis of a theorem, do the drawings of different students have to be identical...
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2. Prove the following and make a sketch. a) Prove that every Eulerian graph of odd order has three vertices of the same degree. b) If every vertex in a graph G is even, no edge in that graph is a bridge.
Transcribed Image Text:2. Prove the following and make a sketch. a) Prove that every Eulerian graph of odd order has three vertices of the same degree. b) If every vertex in a graph G is even, no edge in that graph is a bridge.
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