Consider the graph G (V, E) below. Apply the proper Theorems and formulas to answer the following questions using the correct notations: b d. 1) Is this a connected graph? Motivate your answer. 2) Is this a complete graph? Motivate your answer and if it is a complete graph calculate th number of edges applying the proper formula. 3) Write the set of vertices of the graph and the set of the edges.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Consider the graph G (V, E) below.
Apply the proper Theorems and formulas to answer the following questions using the correct
notations:
b
d.
1) Is this a connected graph? Motivate your answer.
2) Is this a complete graph? Motivate your answer and if it is a complete graph calculate the
number of edges applying the proper formula.
3) Write the set of vertices of the graph and the set of the edges.
4) Calculate the degree of each vertex.
5) Calculate the sum of the degrees of the vertices using the proper formula.
6) Does this graph have the Euler circuit? Motivate your answer and if the Euler circuit exists,
calculate it.
7) Does this graph have the Hamilton circuit? Motivate your answer.
8) Calculate the minimum spanning tree providing the sets V and E and draw the tree.
Transcribed Image Text:Downloads/sob 31 week 21.pdf D Page view A Read aloud V Draw Highlight y not have access to some features. View permissions Consider the graph G (V, E) below. Apply the proper Theorems and formulas to answer the following questions using the correct notations: b d. 1) Is this a connected graph? Motivate your answer. 2) Is this a complete graph? Motivate your answer and if it is a complete graph calculate the number of edges applying the proper formula. 3) Write the set of vertices of the graph and the set of the edges. 4) Calculate the degree of each vertex. 5) Calculate the sum of the degrees of the vertices using the proper formula. 6) Does this graph have the Euler circuit? Motivate your answer and if the Euler circuit exists, calculate it. 7) Does this graph have the Hamilton circuit? Motivate your answer. 8) Calculate the minimum spanning tree providing the sets V and E and draw the tree.
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