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True or False? Justify your answer. Let G be a graph. 1. If G has no isolated vertex then G is connected. 2. If G has a path passing through all of its vertices then 8(G) ≥ 2. 3. If G has a cycle passing through all of its vertices then 8(G) ≥ 2. 4. If a (G) = 1 and G has more than one vertex then G is a complete graph.

True or False? Justify your answer. Let G be a graph. 1. If G has no isolated vertex then G is connected. 2. If G has a path passing through all of its vertices then 8(G) ≥ 2. 3. If G has a cycle passing through all of its vertices then 8(G) ≥ 2. 4. If a (G) = 1 and G has more than one vertex then G is a complete graph.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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part 3 4 graph theory
True or False? Justify your answer. Let G be a graph. 1. If G has no isolated vertex then G is connected. 2. If G has a path passing through all of its vertices then 8(G) ≥ 2. 3. If G has a cycle passing through all of its vertices then 8(G) ≥ 2. 4. If a(G) = 1 and G has more than one vertex then G is a complete graph.
Transcribed Image Text:True or False? Justify your answer. Let G be a graph. 1. If G has no isolated vertex then G is connected. 2. If G has a path passing through all of its vertices then 8(G) ≥ 2. 3. If G has a cycle passing through all of its vertices then 8(G) ≥ 2. 4. If a(G) = 1 and G has more than one vertex then G is a complete graph.
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