GATE Data Science and AI Programming Data Structures and Algorithms Syllabus
Programming in Python, basic data structures: stacks, queues, linked lists, trees, hash tables; Search algorithms: linear search and binary search, basic sorting algorithms: selection sort, bubble sort and insertion sort; divide and conquer: mergesort, quicksort; introduction to graph theory; basic graph algorithms: traversals and shortest path.
Here’s a breakdown of each topic:
Programming in Python:
Python is a versatile and widely-used programming language known for its simplicity and readability. It supports various programming paradigms, including procedural, object-oriented, and functional programming.
Basic Data Structures:
- Stacks: Stacks are a Last In, First Out (LIFO) data structure where elements are inserted and removed from the same end, typically called the “top.”Queues: Queues are a First In, First Out (FIFO) data structure where elements are inserted at the rear (tail) and removed from the front (head).Linked Lists: Linked lists are data structures consisting of nodes where each node contains a data element and a reference (or pointer) to the next node in the sequence.Trees: Trees are hierarchical data structures composed of nodes, where each node contains a value and references to its child nodes.Hash Tables: Hash tables are data structures that store key-value pairs, allowing for efficient retrieval of values based on their associated keys.
Search Algorithms:
- Linear Search: Linear search is a simple search algorithm that sequentially checks each element in a list until a match is found or the end of the list is reached.Binary Search: Binary search is a more efficient search algorithm for sorted lists, where the list is repeatedly divided in half until the target value is found.
Basic Sorting Algorithms:
Selection Sort: Selection sort is a simple sorting algorithm that repeatedly selects the minimum (or maximum) element from an unsorted portion of the list and swaps it with the first unsorted element.Bubble Sort: Bubble sort is a sorting algorithm that repeatedly steps through the list, compares adjacent elements, and swaps them if they are in the wrong order.Insertion Sort: Insertion sort is a sorting algorithm that builds the final sorted list one element at a time by repeatedly taking the next element and inserting it into its correct position in the sorted portion of the list.
Divide and Conquer:
- Merge Sort: Merge sort is a divide and conquer algorithm that divides the input list into two halves, recursively sorts each half, and then merges the sorted halves.Quick Sort: Quick sort is another divide and conquer algorithm that selects a pivot element, partitions the list into two sublists based on the pivot, and recursively sorts each sublist.
Introduction to Graph Theory:
Graph theory deals with the study of graphs, which are mathematical structures consisting of nodes (vertices) and edges that connect pairs of nodes.
Basic Graph Algorithms:
- Graph Traversals: Graph traversals involve visiting all the nodes of a graph in a systematic way. Common traversal algorithms include depth-first search (DFS) and breadth-first search (BFS).Shortest Path Algorithms: Shortest path algorithms find the shortest path between two nodes in a graph. Common algorithms include Dijkstra’s algorithm and the Bellman-Ford algorithm.
Understanding these concepts and algorithms is fundamental for solving various programming problems efficiently and effectively, particularly in the fields of data structures, algorithms, and computer science in general.
GATE DA Subject wise syllabus:
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