“…1c), this dramatically reduces the required number of m-cycles from O(||E||-||V||+1) to O(log 2 ||E||). Compared with simple cycles, non-simple cycles are more flexible in exploiting mesh connectivity of a network [18], but such flexibility is still limited by the cycle constraint. For example, without the aid of link-based monitors, link failures in a two-edge cut cannot be distinguished by any simple or non-simple m-cycle solution.…”