4. Prove: a) In a graph, if two vertices are connected by a walk then they are connected by a path. b) Let u and v arbitrary vertices of a connected graph G. Show that there exists a u-v walk containing all vertices of G.

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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4. Prove:
a) In a graph, if two vertices are connected by a walk then they are connected by
a path.
b) Let u and v arbitrary vertices of a connected graph G. Show that there exists a
u-v walk containing all vertices of G.
Transcribed Image Text:4. Prove: a) In a graph, if two vertices are connected by a walk then they are connected by a path. b) Let u and v arbitrary vertices of a connected graph G. Show that there exists a u-v walk containing all vertices of G.
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