How Hamiltonian graphs differ from the Eulerian graphs? Give Dirac’s and Ore’s criterion for the Hamiltonian graphs.

In discrete mathematics, Hamiltonian and Eulerian graphs are distinct concepts related to different types of graph traversals.

Hamiltonian Graphs vs. Eulerian Graphs:

- Hamiltonian Graphs:
  A graph is called Hamiltonian if there exists a cycle that visits each vertex exactly once and returns to the starting vertex. This cycle is known as a Hamiltonian cycle. Hamiltonian graphs are concerned with visiting every vertex in a single tour ____ __________ ____ ___ _______ ________ _____ _____ ________.
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