Consider a complete network formed by $6$

$6$

nodes.

Does this network have an Eulerian cycle?

Multiple choice $1$ Question $2$

Yes

No

Does this network have an Hamiltonian cycle? Multiple choice $2$ Question $2$

Yes

No

It is possible that an Hamiltonian cycle is also an Eulerian cycle of this network? Multiple choice $3$ Question $2$

Yes

No

N$/$A$.$ The Hamiltonian cycle and$/$or the Eulerian cycle do not exist.