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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 5E: a If a graph is symmetric with respect to the x-axis and (a,b) is on the graph, then (,) is also on...
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 3 steps with 12 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning