
(a) determine the number of edges in the graph, (b) find the number of vertices in the graph, (c) list the degree of each vertex, and (d) determine whether the graph is connected.

(a)
The edges in the graph.
Answer to Problem 1RE
The number of edges in the given graph is 8.
Explanation of Solution
Given:
Calculation:
The number of available edges in the given graph is 8.
Conclusion:
The number of edges in the given graph is 8.

(b)
The vertices present in the graph..
Answer to Problem 1RE
The vertices present in the given graph are 4.
Explanation of Solution
Given:
Calculation:
The available number of vertices in the given is 4.
Conclusion:
The vertices present in the given graph is 4.

(c)
To list:
The degree of every individual vertex.
Answer to Problem 1RE
Vertex A has degree 4, vertex B has degree 4, vertex C has degree 4 and vertex D has degree 4.
Explanation of Solution
Given:
Calculation:
Vertex A has degree 4, vertex B has degree 4, vertex C has degree 4 and vertex D has degree 4.
Conclusion:
Vertex A has degree 4, vertex B has degree 4, vertex C has degree 4 and vertex D has degree 4.

(d)
To say:
Whether the graph is connected are or not.
Answer to Problem 1RE
The graph is connected since each vertex are connected to one another.
Explanation of Solution
Given:
Calculation:
As each vertex are connected to one another the graph is said to be connected.
Conclusion:
As each vertex are connected to one another the graph is said to be connected.
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Chapter 5 Solutions
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