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Which statement about the complexity impact of deadlock detection algorithms is TRUE?

medium🪤 Complexity Trap Q6 of Q15
Operating Systems - Starvation vs Deadlock vs Livelock - Differences & Examples
Which statement about the complexity impact of deadlock detection algorithms is TRUE?
ADeadlock detection algorithms have exponential time complexity in the worst case.
BDeadlock detection always runs in O(1) time due to fixed resource limits.
CDeadlock detection complexity depends on the number of processes and resources, typically O(m+n).
DDeadlock detection complexity is independent of resource allocation graph size.
Step-by-Step Solution
Solution:
  1. Step 1: Understand deadlock detection complexity

    Deadlock detection involves analyzing the resource allocation graph with m resources and n processes.
  2. Step 2: Evaluate options

    Deadlock detection complexity depends on the number of processes and resources, typically O(m+n). correctly states complexity depends on number of processes and resources, typically O(m+n).
    Deadlock detection always runs in O(1) time due to fixed resource limits. is false; complexity is not constant.
    Deadlock detection algorithms have exponential time complexity in the worst case. is incorrect; detection is not exponential.
    Deadlock detection complexity is independent of resource allocation graph size. is false; complexity depends on graph size.
  3. Final Answer:

    Option C -> Option C
  4. Quick Check:

    Deadlock detection complexity scales with graph size [OK]
Quick Trick: Deadlock detection depends on processes and resources [OK]
Common Mistakes:
MISTAKES
  • Assuming constant time detection
  • Overestimating complexity as exponential
  • Ignoring graph size impact
Trap Explanation:
PITFALL
  • Candidates often underestimate complexity or assume constant time due to fixed resources, missing graph size dependency.
Interviewer Note:
CONTEXT
  • Checks understanding of deadlock detection algorithm complexity.
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