TAILIEUCHUNG - Data Structures and Algorithms: Priority Queues!

Data Structures and Algorithms: Priority Queues! includes Priority Queue ADT, Total Order Relations, Entry ADT, Comparator ADT, Priority Queue Sorting, Sequence-based Priority, Selection-Sort. | Data Structures and Algorithms
 Priority Queues! Outline" •  Priority Queues! •  Heaps! •  Adaptable Priority Queues! Phạm Bảo Sơn - DSA Priority Queues " Priority Queue ADT " •  A priority queue stores a collection of entries! •  Each entry is a pair
 (key, value)! •  Main methods of the Priority Queue ADT! –  insert(k, x)
 inserts an entry with key k and value x! –  removeMin()
 removes and returns the entry with smallest key! Phạm Bảo Sơn - DSA •  Additional methods! –  min()
 returns, but does not remove, an entry with smallest key! –  size(), isEmpty()! •  Applications:! –  Standby flyers! –  Auctions! –  Stock market! Total Order Relations " •  Keys in a priority •  Mathematical concept queue can be of total order relation ≤! arbitrary objects –  Reflexive property:
 x≤x on which an order is defined! –  Antisymmetric property:
 x ≤ y ∧ y ≤ x ⇒ x = y! •  Two distinct –  Transitive property:
 entries in a priority x≤y∧y≤z⇒x≤z queue can have the same key Phạm Bảo Sơn - .

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• Priority Queue ADT
• Total Order Relations
• Entry ADT
• Comparator ADT
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