Concept explainers
Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.
Answer to Problem 1RE
Solution:
Both the graphs are equivalent and third equivalent graph is;
Explanation of Solution
Given:
Consider the provided graphs;
Explanation:
In both figures, the vertices are A, B, C, D and E. Both graphs have an edge that connects vertex A to vertex B (edge AB or BA ), an edge that connects vertex B to vertex C (edge BC or CB ), an edge that connects vertex A to vertex E (edge AE or EA ), an edge that connects vertex A to vertex C (edge AC or CA ) and an edge that connects vertex A to vertex D (edge AD or DA ). Because the two graphs have the same number of vertices connected to each other in the same way, they are equivalent.
Third equivalent graph is;
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