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
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 vertices, each vertex will be directly connected to other vertices. Therefore, if every node in graph is adjacent to every other node in graph , 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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