Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Yes, $(S_n, E_n)$ contains a Hamiltonian cycle for every $n \in \mathbb{N}$$n \geq 3$. This follows by the Steinhaus–Johnson–Trotter algorithm. The transpositions can even be chosen to be consecutive elements in the previous permutation.
Yes, $(S_n, E_n)$ contains a Hamiltonian cycle for every $n \in \mathbb{N}$. This follows by the Steinhaus–Johnson–Trotter algorithm. The transpositions can even be chosen to be consecutive elements in the previous permutation.
Yes, $(S_n, E_n)$ contains a Hamiltonian cycle for every $n \geq 3$. This follows by the Steinhaus–Johnson–Trotter algorithm. The transpositions can even be chosen to be consecutive elements in the previous permutation.
Yes, $(S_n, E_n)$ contains a Hamiltonian cycle for every $n \in \mathbb{N}$. This follows by the Steinhaus–Johnson–Trotter algorithm. The transpositions can even be chosen to be consecutive elements in the previous permutation.
