Question

Define and analyze the directed hamiltonian circuit and semi-hamiltonian circuit in a digraph

Answer 1

A directed Hamiltonian circuit is a case of the graph when it resembles the form of a cycle in which all vertices are placed within the graph itself. In this case, each vertex is connected with another and so the vertices are connected with one another.

On the other hand, graphs, that do not form a Hamiltonian graph, form a bipartite nature. A Hamiltonian circuit is also known as a Hamiltonian cycle and in this case, the nodes are touched once.

However in case of a semi Hamiltonian graph, there is a Hamiltonian path, but the cycle is not exhibited.