A ______ in a graph G is a circuit which consists of every vertex (except first/last vertex) of G exactly once.(a) Euler path(b) Hamiltonian path(c) Planar graph(d) Path complement graphThe question was asked in homework.Question is from Different Path in a Graph in section Graphs of Discrete Mathematics

A ______ in a graph G is a circuit which consists of every vertex (exc

1.	A ______ in a graph G is a circuit which consists of every vertex (except first/last vertex) of G exactly once.(a) Euler path(b) Hamiltonian path(c) Planar graph(d) Path complement graphThe question was asked in homework.Question is from Different Path in a Graph in section Graphs of Discrete Mathematics
Answer» Right option is (b) Hamiltonian path For explanation: The Eulerian path in a graph say, G is a walk from one vertex to ANOTHER, that can pass through all VERTICES of G as well as traverses exactly once every edge of G. Therefore, an Eulerian path can not be a CIRCUIT. A Hamiltonian path is a walk that contains every vertex of the graph exactly once. Hence, a Hamiltonian path is not a circuit.

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