Recent posts in Algorithms

https://walkccc.me/CLRS/

This website contains nearly complete solutions to the bible textbook - Introduction to Algorithms Third Edition, published by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein.

hope this helps :)

https://algs4.cs.princeton.edu/cheatsheet/

Commonly encountered functions, helpful formulae and approximations, features of logarithms, asymptotic notations, and solutions to divide-and-conquer recurrences are among the mathematics used in the study of algorithms.

Day	Date	Contents	Slides	Assignments
1	Aug 12	Time complexities with examples - Asymptotic notations - Theta for tight bound, big-O for upper bound and big-Omega for lower bound. Analogous to =, <= and >=.  o- strictly higher upper bound and small-omega- strictly lower lower bound analogous to > and < respectively. Definitions to be learned from Cormen.
2	Aug 13	Masters theorem with examples - finding epsilon > 0 for case 1 and case 3, c < 1 for case 3,  Going to substitution for exact solution, brute force method as a backup. Sorting algorithms and time complexities in best, worst and average cases- Insertion sort-inversion, Selection sort - swapping, Bubble sort, Merge sort - external sorting, Heap sort - build heap in O(n) - proof in Cormen, Quick sort - worst case of O(n^2)		Assignment 1
3	Aug 14	No discussion, Assignments on sorting- time complexity		Assignment 2
4	Aug 15	Hashing- O(1)-search-perfect hashing, hash structure-table, Direct addressing, Open addressing- linear probing-primary clustering, quadratic probing-secondary clustering, double hashing
5	Aug 16	Algorithm design techniques- Dynamic programming, Greedy algorithms, Divide and conquer - with examples, dynamic programming- top down and bottom up approach
6	Aug 17	Graph search- breadth first search-level order traversal in tree, depth first search- algorithm and complexity analysis, applications, Spanning tree- minimum spanning tree, Prims and Kruskal's algorithm and analysis
7	Aug 18-Aug 22	No discussion, solve previous gate questions on algorithms
8	Aug 23	Shortest path algorithms- Relax function, Dijkstras algorithm- single source all destination,array and min heap implementation, failure(wrong output) for negative edge cycle, Bellman Ford- single source all destination, Floyd Warshall- Dynamic programming, Jhonson's algorithm- (optimised Floyd Warshall for sparse graph)- complexity and comparisons, programming- data structures used and initialisation

For more information visit GO Classroom: https://classroom.gateoverflow.in/course/view.php?id=2

Can anyone tell any other algorithm which is there in syllabus apart from those mentioned below. Also, tell if something below is not there in syllabus

Dynamic Programming:-
1. Matrix Chain Multiplication
2. LCS
3. Subset Sum
4. 0/1 Knapsack
5. Floyd Warshall
6. OBST
7. Closest Pair

Greedy Method:-
1. Prim's
2. Kruskal's
3. Djikstra
4. Bellman Ford
5. Huffman Coding
6. BFS
7. Fractional Knapsack
8. Topological Sort
9. Stongly Connected Component

Backtracking:-
1. DFS

Branch and Bound:-
1. Travelling Salesman

Important Questions

http://gateoverflow.in/questions/algorithms?sort=featured

Sometimes we need to walk through a given algorithm to get the answer. These questions must not be missed as there is very little chance of a mistake.