SCHEDULE is possible only when precedence GRAPH doesn’t contain cycle. If precedence graph contains a cycle, it means schedule is not conflict serializable.Breadth first search and Depth first search of a graph are possible even if graph contains cycle.Topological sort in a graph will not work if graph contains a cycle.Consider a directed ACYCLIC graph:Here Two orders possible: V2, V3, V1, V4, V5, V6 OR V3, V2, V1, V4, V5, V6.In case of ascending order of transaction indices, two non-conflicting schedules can occur simultaneously.