Let G be a connected graph that has an Euler tour. Prove or disprove the following statements. If G is bipartite then it has an even number of edges. If G has an even number of vertices then it has an even number of edges. For edges e and f sharing a vertex, G has an Euler tour in which e and f appear consecutively.

Let G be a connected graph that has an Euler tour. Prove or disprove the following statements. If G is bipartite then it has an even number of edges. If G has an even number of vertices then it has an even number of edges. For edges e and f sharing a vertex, G has an Euler tour in which e and f appear consecutively.

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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