Testing of Serializability in DBMS
Ensuring serializability is one of the most important aspects of concurrency control. A Serialization Graph (also called a Precedence Graph) is commonly used to test whether a given schedule is serializable.
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What is a Precedence Graph?
For a schedule S, build a graph G = (V, E):
- V (Vertices): the set of transactions in the schedule.
- E (Edges): dependencies between transactions.
An edge Ti → Tj is added for any conflict:
- Write-Read: Ti writes(Q) before Tj reads(Q).
- Read-Write: Ti reads(Q) before Tj writes(Q).
- Write-Write: Ti writes(Q) before Tj writes(Q).
The Rule
- If the precedence graph contains a cycle → the schedule is NON-serializable.
- If the graph is acyclic (no cycle) → the schedule is serializable.
Example
For a schedule that produces edges T2→T3, T3→T1, and T1→T2, the graph forms a cycle ÔÇö therefore it is NON-serializable. A schedule whose graph has no cycle is serializable.
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Final Thoughts
Testing serializability ensures concurrent transactions stay as correct as serial execution. Using precedence graphs, remember the simple rule: Cycle = Non-Serializable, No Cycle = Serializable. For more DBMS tutorials, visit .
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