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.

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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section12.5: Reflections And Symmetry

Problem 20E

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Question

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.

Please make a sketch.Thank you

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