A simple directed graph in which every pair of distinct vertices is connected by an edge in both directions is called:a.Connected graphb.Eulerian graphc.Strongly connected graphd.Weakly connected graph
Question
A simple directed graph in which every pair of distinct vertices is connected by an edge in both directions is called:a.Connected graphb.Eulerian graphc.Strongly connected graphd.Weakly connected graph
Solution 1
The correct answer is c. Strongly connected graph.
A simple directed graph is said to be strongly connected if every pair of vertices is connected by an edge in both directions. This means that for every two vertices v and w, there is a path from v to w and a path from w to v.
In contrast, a connected graph (option a) is a simple undirected graph where there is a path between every pair of vertices, but it doesn't require the path to exist in both directions.
An Eulerian graph (option b) is a graph in which all vertices have even degree, and thus you can traverse every edge exactly once without lifting your pencil.
A weakly connected graph (option d) is a directed graph that would be connected if we ignored the direction of the edges.
Solution 2
A simple directed graph in which every pair of distinct vertices is connected by an edge in both directions is called a strongly connected graph.
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