A graph in which there exists a path between
any two of-its nodes is called a
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A graph is called cyclic if there is a path in the graph which starts from a vertex and ends at the same vertex. That path is called a cycle. An acyclic graph is a graph which has no cycle. A tree is an undirected graph in which any two vertices are connected by only one path.
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A connected graph: A graph is connected if and only if there is a path between any two of its nodes.
Explanation:
- Bidirectional path: In a bidirectional path between any two nodes, a path from any of the nodes to the other exists as well as a path from the other to one of the nodes.
- A bidirectional path contains at most two nodes.
- The graph is connected if and only if there is a path between any two of its nodes.
- Connected graphs are one-to-one maps of the nodes of a graph.
- The graph is connected if and only if there is a path between any two of its nodes.
- A path in a graph is simple if it does not repeatedly use the same edge to connect nodes.
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