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Question
A path in graph G, which contains every vertex of G once and only once?
A path in graph G, which contains every vertex of G once and only once?
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Solution
The correct option is D Hamiltonian path
A path in graph G,
Hamiltonian path contains every vertex of G once and only once.
A Hamiltonian circuit in a graph G is a circuit
that includes every vertex (except
first/last vertex) of G exactly once. An Eulerian path in a graph G is a walk from one vertex to another,
that passes through all
vertices of G and traverses
exactly once every edge of G.
A Hamiltonian path is an
undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a Hamiltonian
path that is a cycle.
A path in graph G, Hamiltonian path contains every vertex of G once and only once.
A Hamiltonian circuit in a graph G is a circuit that includes every vertex (except first/last vertex) of G exactly once. An Eulerian path in a graph G is a walk from one vertex to another, that passes through all vertices of G and traverses exactly once every edge of G.
A Hamiltonian path is an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a Hamiltonian path that is a cycle.
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