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Computer Science · College

Data Structures, Unit 9: Sorting Algorithms

Data Structures, unit: Sorting Algorithms. Core concepts, terminology, and worked-example cues a college student meets for this unit, building on prior units without repeating them. Front: a term, concept, or short problem cue. Back: the definition, explanation, or answer.

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What is a sorting algorithm?
An algorithm that arranges elements of a list into a specific order
What is the time complexity of bubble sort in the average and worst case?
O(n^2)
How does bubble sort work?
Repeatedly swapping adjacent elements that are out of order, until the list is sorted
What is the time complexity of selection sort?
O(n^2)
How does selection sort work?
Repeatedly finding the minimum element from the unsorted portion and moving it to the front
What is the time complexity of insertion sort in the average and worst case?
O(n^2)
How does insertion sort work?
Building a sorted portion one element at a time, inserting each new element into its correct place
When is insertion sort particularly efficient?
On small or nearly-sorted datasets
What is merge sort?
A divide-and-conquer sorting algorithm that splits the list, sorts each half, and merges them
What is the time complexity of merge sort?
O(n log n) in all cases
What is the space complexity of merge sort?
O(n), due to the auxiliary arrays used during merging
What is quicksort?
A divide-and-conquer sorting algorithm that partitions elements around a pivot
What is the average-case time complexity of quicksort?
O(n log n)
What is the worst-case time complexity of quicksort?
O(n^2), typically when the pivot choice is poor
What is a pivot in quicksort?
An element chosen to partition the array into smaller and larger elements

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