TAILIEUCHUNG - Lecture Algorithms and data structures: Chapter 1 - Introduction to Data Structure and Algorithms

The course focuses on strategies and techniques to efficiently store data (Data Structures) and to perform processing on such data in efficient ways (Algorithms), as well as on the analysis and design of such techniques. In this lecture, the following topics will be covered: Mathematical review; asymptotic and algorithm analysis; relationships and data structures; requential storage: Lists, queues, stacks, deques; hash tables; trees; priority queues and heaps; sort algorithms; graphs and graph algorithms; algorithm design techniques; complexity classes and NP completeness. | Algorithms and Data Structures (CSC112) 1 Introduction Algorithms and Data Structures Static Data Structures Searching Algorithms Sorting Algorithms List implementation through Array ADT: Stack ADT: Queue Dynamic Data Structures (Linear) Linked List (Linear Data Structure) Dynamic Data Structures (Non-Linear) Trees, Graphs, Hashing 2 What is a Computer Program? To exactly know, what is data structure? We must know: What is a computer program? Input Some mysterious processing Output 3 Definition An organization of information, usually in memory, for better algorithm efficiency such as queue, stack, linked list and tree. 4 3 steps in the study of data structures Logical or mathematical description of the structure Implementation of the structure on the computer Quantitative analysis of the structure, which includes determining the amount of memory needed to store the structure and the time required to process the structure 5 Lists (Array /Linked List) Items have a position in this Collection Random access or not? Array Lists internal storage container is native array Linked Lists public class Node { private Object data; private Node next; } first last 6 6 Stacks Collection with access only to the last element inserted Last in first out insert/push remove/pop top make empty Top Data4 Data3 Data2 Data1 7 7 Queues Collection with access only to the item that has been present the longest Last in last out or first in first out enqueue, dequeue, front, rear priority queues and deques Data4 Data3 Data2 Data1 Front Rear Deletion Insertion 8 8 Trees Similar to a linked list public class TreeNode { private Object data; private TreeNode left; private TreeNode right; } Root 9 9 Hash Tables Take a key, apply function f(key) = hash value store data or object based on hash value Sorting O(N), access O(1) if a perfect hash function and enough memory for table how deal with collisions? 10 10 Other ADTs Graphs Nodes with unlimited connections between other nodes 11 11 cont .

• Cơ sở dữ liệu
• Algorithm analysis
• Graph algorithms
• Design techniques
• Data structures
• Lecture Algorithms and data structures
• Algorithm analysis
• Design techniques
• Cấu trúc dữ liệu
• Algorithm analysis in C++
• The disjoint sets class
• Algorithm design techniques
• Amortized analysis
• Advanced data structures
• Advanced Algorithms Analysis and Design
• Lecture Advanced Algorithms Analysis and Design
• Bài giảng Phân tích và thiết kế thuật toán nâng cao
• The Floyd Warshall algorithm
• Johnson’s algorithm
• Bellman Ford algorithm
• Algorithm design
• Lecture Algorithm design
• Computational tractability
• Asymptotic order of growth
• Polynomial running time
• Dynamic programming
• Hirschbergs algorithm
• Greedy Algorithms
• Dijkstras algorithm
• Minimum spanning trees
• Network flow
• Ford Fulkerson algorithm
• Max flow min cut theorem
• Analysis in C++
• A general overview
• Extendible hashing
• Hash tables in the standard library
• Performance analysis of a sugar plant using genetic algorithm
• Optimization of crystallization system of a sugar plant using genetic algorithm
• A sugar plant using genetic algorithm
• Refining system fails
• The crystallization system includes crystallization units
• Local search
• Gradient descent
• Metropolis algorithm
• Analysis of Algorithm
• Incorrect algorithms
• Analyzing an algorithm
• nalyzing an algorithm
• The correct output
• Communication bandwidth
• Computational time
• A practical introduction
• Mathematical preliminaries
• Binary trees
• Non binary trees
• Internal sorting
• Graph search
• Graph connectivity
• Graph traversal
• Coin changing
• Optimal caching
• Counting inversions
• Closest pair of points
• Randomized quicksort
• Master theorem
• Integer multiplication
• Matrix multiplication
• Weighted interval scheduling
• Knapsack problem
• Bipartite matching
• Disjoint paths
• Assignment problem
• Input queued switching
• Poly time reductions
• Constraint satisfaction problems
• Graph coloring
• Decision problems
• NP complete
• Nondeterministic polynomial
• PSPACE complexity class
• Quantified satisfiability
• PSPACE complete
• Vertex covers
• Bipartite graphs
• Limits of tractability
• Approximation Algorithms
• Vertex cover
• Randomized Algorithms
• Contention resolution
• Linearity of expectation
• Performance analysis of a real time adaptive prediction algorithm
• Real time adaptive prediction algorithm for traffic congestion
• Lower Mean Square Error
• The actual traffic congestion states