Fundamental Algorithms and Data Structures
2024-10-14 18:47:46 0 Report
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This mind map provides a comprehensive overview of 'Fundamental Algorithms and Data Structures,' a critical area of computer science. It delves into the essentials of algorithms, covering various sorting techniques such as Bubble Sort and Quick Sort, and analyzes their performance in terms of time and space complexity. It also explores search algorithms, including Linear and Binary Search, and discusses optimization strategies like pruning and hash table acceleration. Additionally, the map examines data structures, highlighting linear lists, stacks, queues, trees, graphs, and hash tables, and their applications in solving complex computational problems.
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Outline/Content
Fundamentals of Algorithms
Sorting algorithm
Sorting algorithm classification
Comparison Sorting Algorithms
Bubble Sort
Quick Sort
Non-comparison sorting algorithm
Counting sort
Radix sort
Performance Evaluation of Sorting Algorithms
Time complexity analysis
Space complexity analysis
Stability consideration
Application Examples of Search Algorithms
Big data sorting
Real-time data processing
Search Algorithm
Search Algorithm Classification
Linear Search
Binary search
Depth-First Search
Breadth-First Search
Search Algorithm Optimization Strategy
Pruning technique
Hash table acceleration
Application Examples of Search Algorithms
Graph traversal problem
Database query optimization
Greedy Algorithm
Greedy Algorithm Basic Concept
Local optimum
Greedy selective property
Greedy algorithm design steps
Problem Modeling
Greedy strategy selection
Application Examples of Search Algorithms
Activity selection problem
Huffman coding
Branching algorithm
Basic Concepts of Branching Algorithms
Branch and Bound
Pruning technique
Branching algorithm classification
Backtracking
Branch and Bound Method
Branching Algorithm Application Examples
Traveling Salesman Problem
Eight queens problem
Fundamentals of Data Structures
Linear list
sequence table
linked list
Singly linked list
Node Definition
Insert operation
Delete operation
Double linked list
Bidirectional traversal
Circular linked list
Stack and queue
stack
Last In, First Out characteristic
queue
First-in-first-out feature
Trees and Graphs
The basic concept of trees
Nodes and edges
The classification of trees
Binary tree
Binary tree properties
Traversal algorithm
Preorder traversal
In-order traversal
Postorder traversal
Map
Representation of the graph
Adjacency Matrix
Adjacency List
Graph traversal
Depth-First Search
Breadth-First Search
hash table
Hash function
Constructor method
Conflict resolution
The implementation of hash tables
Open addressing method
Chain Addressing Method
The application of hash tables
Quick search
Deduplication operation
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