A path in which each and every vertex of the graph is touched exactly once, is a/an
Question
A path in which each and every vertex of the graph is touched exactly once, is a/an
Solution
The path in which each and every vertex of the graph is touched exactly once is called a Hamiltonian path.
A Hamiltonian path is a type of path in a graph that visits each vertex exactly one time. If such a path also returns to the original starting vertex, it is called a Hamiltonian cycle. Determining whether a Hamiltonian path exists in a graph is a well-known computational problem in graph theory and is considered NP-complete.
In summary, if you're seeking a path that visits every vertex exactly once in a graph, you are referring to a Hamiltonian path.
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