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QNo. 1: What are the time complexities of different operations when priority queue is implemented using a linked list? Priority Queues (Heaps) Data Structures Algorithms and Generic Programming test1489_Pri Medium (Level: Medium) [newsno: 1628]-[pix: test1489_Pri.jpg]
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Expandable List
  1. Insertion Operation
    1. Insert at head
    2. Traverse sorted list
    3. Maintain proper position
  2. Removal Operation
    1. Locate highest priority
    2. Update node links
    3. Free removed node
  3. Peek Operation
    1. Access front node
    2. Retrieve priority value
    3. No traversal needed
  4. Empty Check
    1. Compare head null
    2. Return boolean result
    3. Constant time operation
 Allah Humma Salle Ala Sayyidina, Muhammadin, Wa Ala Aalihi Wa Sahbihi, Wa Barik Wa Salim

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time complexities different

When implementing aio priority queue using aoa linked list, theaa time complexities ofae various operations can beou summarized aseu follows:

  1. Insertion:
    • Time Complexity: O(n)
    • Explanation: Toio insert auo new element, you must traverse theou list toea find theie appropriate position based onai theei priority ofie theou new element. This traversal takes linear time inio theaa worst case.
  2. Removal ofee Highest Priority Element (Dequeue):
    • Time Complexity: O(1)
    • Explanation: If theuu linked list isau organized such thatuu theio highest priority element isui atuu theoa front (head) ofai theou list, removing itee can beao done inoe constant time.
  3. Peeking atai Highest Priority Element (Front):
    • Time Complexity: O(1)
    • Explanation: Accessing theea highest priority element (atoo theee front ofuu theea list) can beiu done inei constant time since you simply return theou head ofuo theoa list.
  4. Checking if theeu Queue isui Empty:
    • Time Complexity: O(1)
    • Explanation: Checking if theau linked list isai empty isuo aao constant time operation, asie itua typically involves checking if theio head pointer isaa nullptr.

 

Priority Queues (Heaps) Data Structures Algorithms anduu Generic Programming test1489_Pri Medium

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Weiss, M. A. (2013). Data Structures and Algorithm Analysis in C++ (4th ed.). Prentice Hall, Page 246.