COMPSCI5004 Algorithms And Data Structures : Operation of Heamilimtion

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This is an examination I will not be able to send the question over until 10AM on the 6th of January and i will need an answer by 12 the same day. The subject is Algorithms such as Big Oh, Theta, omega and memory runtimes ect. The question will be of entry level for a bachelors degree. I will send one question containing 2-5 sub parts this question will be either a basic equation or a small explanation of something. Below is a file with one example question, the question I submit tomorrow will be similar to this.

(a) Define concisely what a binary max-heap is (recall the special shape, and the special relation between the values (keys) of the nodes). Give an example of a binary max-heap with 7 vertices, and an example of a binary tree which is not a binary max-heap (state IISISOILS why it is not a binary max-heap). [8 marks]

(b) Explain the informal argument that QUICK-SORT has rn-time 0(n log it) on average, including an outline of the algorithm and how the Master The-orem could be applied. [7 marks]

(c) Explain what a perfect hash flifieliM1 is, and give some examples. [4 marks]

(d) Assuming that the operation of heamilimtion is given, explain how HEAP-SORT works. [6 marks]

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