“…. , n/2 } and generalized Petersen graphs P (n, m) -hypohamiltonian/hyperhamiltonian [1,24,31,32], augmented cubes AQ n -pancyclic [4], crossed cubes CQ n -almost pancyclic [9], Mőbius cubes MQ n -(n − 2)-fault almost pancyclic [7,28], locally twisted cubes LTQ n -almost pancyclic [33], twisted cubes TQ n -(n − 2)-fault almost pancyclic [10,11,16,28], twisted n-cubes T n Q -1-fault hamiltonian [27], generalized twisted cubes GQ n -(n − 2)-fault almost pancyclic [28], hierarchical cubic networks HCN(n) -almost pancyclic [13,15], alternating group graphs AG n -(n − 2)-fault hamiltonian [6], arrangement graphs A n,k -pancyclic [8], tori [19,20]. Further, hypercubes Q n [32], folded hypercubes FQ n [32], shuffle cubes SQ n [22], cube connected cycles CCC(n) [29], cycliccubes G k n [12], wrapped butterfly networks WB(n, k) [17], star graphs S n [18] are hamiltonian.…”