Piyush Mittal - OpenGenus IQ: Learn Algorithms, DL, System Design

Manacher's Algorithm

Manacher's Algorithm is an efficient algorithm to find the longest palindromic substring in a given string in linear time and linear space complexity. It uses key ideas from dynamic programming to solve the problem efficiently.

Algorithms

Boyer Moore String Search Algorithm

Boyer Moore string search algorithm is an efficient string searching algorithm which was developed by Robert S. Boyer and J Strother Moore in 1977. The time complexity is linear in terms of length of data to be searched and preprocessing complexity is linear as well

Algorithms

KMP (Knuth-Morris-Pratt) Algorithm

Given a string S of length n and a pattern P of length m , you have to find all occurences of pattern P in string S provided n > m. Knuth Morris Pratt algorithm is an efficient pattern searching algorithm. Time and space complexity of KMP algorithm is O(m + n) linear.

Algorithms

Maximize sum of consecutive differences in a circular array

Given an array A with values a1, a2, a3, a4, an Now, arrange all elements of array A such that sum of absolute differences of consecutive elements is maximum, i.e consider after an arrangement the array is b1, b2, b3, b4,..., bn then maximize |b1-b2| + |b2-b3| + |b3-b4| + .. + |bn-1-bn| + |bn-b1|

Graph Algorithms

Graph Representation: Adjacency Matrix and Adjacency List

A Graph is represented in two major data structures namely Adjacency Matrix and Adjacency List. This forms the basis of every graph algorithm. In this article, we have explored the two graph data structures in depth and explain when to use one of them