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If every node u in G adjacent to every other node v in G, A graph is said to be Complete Options true false

Question

If every node u in G adjacent to every other node v in G, A graph is said to be Complete

Options
true
false

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Solution

Answer

The statement "If every node u in G is adjacent to every other node v in G, a graph is said to be Complete" is true.

Explanation

In graph theory, a complete graph is defined as a graph in which every pair of distinct vertices is connected by a unique edge. This means that if you have a complete graph with n n vertices, each vertex will be directly connected to n1 n-1 other vertices. Therefore, if every node u u in graph G G is adjacent to every other node v v in graph G G , this satisfies the criteria for being a complete graph.

Summary

Since every node is adjacent to every other node, the graph indeed meets the definition of a complete graph. Thus, the correct answer is true.

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