Lecture Notes On Design And Analysis Of Algorithms
Lecture Notes On Design And Analysis Of Algorithms
Lecture Notes On Design And Analysis Of Algorithms
This note explains the
following topics related to Algorithm Analysis and Design:
Introduction to Design and analysis of algorithms, Growth of
Functions, Recurrences, Solution of Recurrences by
substitution,Recursion tree method, Master Method, Design and
analysis of Divide and Conquer Algorithms, Worst case analysis of
merge sort, quick sort and binary search, Heaps and Heap sort,
Priority Queue, Lower Bounds for Sorting.
Author(s): Mr. S.K.
Sathua, Dr. M.R. Kabat and Dr. R. Mohanty
This note explains the
following topics related to Algorithm Analysis and Design:
Introduction to Design and analysis of algorithms, Growth of
Functions, Recurrences, Solution of Recurrences by
substitution,Recursion tree method, Master Method, Design and
analysis of Divide and Conquer Algorithms, Worst case analysis of
merge sort, quick sort and binary search, Heaps and Heap sort,
Priority Queue, Lower Bounds for Sorting.
Author(s): Mr. S.K.
Sathua, Dr. M.R. Kabat and Dr. R. Mohanty
This note
covers the following topics: Algorithm Analysis, algorithmic patterns, Standard
I/O and iostream, Foundational Data Structures and Basic Abstract Data Types,
Linked-list, Stacks and Queues, PA1 walkthrough, Pointer, Hashing, Recursion and
Recurrence Relations, Trees, Binary Search Trees, Range and Multidimensional
Searches, Heaps, Tries, Balanced Search Trees, Binary-tree Representations of
Multi-way Trees.
Distributed algorithms
are algorithms designed to run on multiple processors, without tight centralized
control. Topics covered includes: Variations in model assumptions, Top-level
organization is by the timing model, Synchronous model, Asynchronous model,
Partially synchronous model, Synchronous networks.
This note
introduces students to advanced techniques for the design and analysis of
algorithms, and explores a variety of applications. Topics covered includes:
Greedy algorithms, Dynamic programming, Network flow applications, matchings,
Randomized algorithms, Karger's min-cut algorithm, NP-completeness, Linear
programming, LP duality, Primal-dual algorithms, Semi-definite Programming, MB
model contd., PAC model, Boosting in the PAC framework.
The field of approximation algorithms has
developed in response to the difficulty in solving a good many optimization
problems exactly. This note will present general techniques that underly these
algorithms.
This note concentrates
on the design of algorithms and the rigorous analysis of their efficiency.
Topics covered includes: the basic definitions of algorithmic complexity, basic
tools such as dynamic programming, sorting, searching, and selection; advanced
data structures and their applications, graph algorithms and searching
techniques such as minimum spanning trees, depth-first search, shortest paths,
design of online algorithms and competitive analysis.