What is the largest number of edges possible in a graph with 9 vertices? edges. What is the largest number of edges possible in a Dipartite graph with 9 vertices? edges. What is the largest number of edges possible in a tree with 9 vertices? edges

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Graph Theory Exercise:**

1. **Question 1:**  
   What is the largest number of edges possible in a graph with 9 vertices?  
   [_____] edges.

2. **Question 2:**  
   What is the largest number of edges possible in a bipartite graph with 9 vertices?  
   [_____] edges.

3. **Question 3:**  
   What is the largest number of edges possible in a tree with 9 vertices?  
   [_____] edges.

*Note: Consider the properties of each graph type in your calculations.*
Transcribed Image Text:**Graph Theory Exercise:** 1. **Question 1:** What is the largest number of edges possible in a graph with 9 vertices? [_____] edges. 2. **Question 2:** What is the largest number of edges possible in a bipartite graph with 9 vertices? [_____] edges. 3. **Question 3:** What is the largest number of edges possible in a tree with 9 vertices? [_____] edges. *Note: Consider the properties of each graph type in your calculations.*
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