Combinatorial Problems: Minimum Spanning Tree
N.B. Singh
This audiobook is narrated by a digital voice.
"Combinatorial Problems: Minimum Spanning Tree" is a beginner-friendly introduction to the concept of Minimum Spanning Trees (MST), a fundamental tool in computer science and engineering. This book provides clear explanations and practical examples to demystify MST algorithms, which are essential for efficiently connecting nodes in various networks while minimizing costs. Aimed at absolute beginners, it covers the basic principles, step-by-step algorithms, and real-world applications of MST in telecommunications, transportation, and more. Whether you're a student, aspiring engineer, or curious reader, this accessible guide equips you with the foundational knowledge to understand and apply MST effectively in solving connectivity challenges across different fields.
Duration - 3h 16m.
Author - N.B. Singh.
Narrator - Digital Voice Mary G.
Published Date - Monday, 20 January 2025.
Copyright - © 2024 N.B. Singh ©.
Location:
United States
Description:
This audiobook is narrated by a digital voice. "Combinatorial Problems: Minimum Spanning Tree" is a beginner-friendly introduction to the concept of Minimum Spanning Trees (MST), a fundamental tool in computer science and engineering. This book provides clear explanations and practical examples to demystify MST algorithms, which are essential for efficiently connecting nodes in various networks while minimizing costs. Aimed at absolute beginners, it covers the basic principles, step-by-step algorithms, and real-world applications of MST in telecommunications, transportation, and more. Whether you're a student, aspiring engineer, or curious reader, this accessible guide equips you with the foundational knowledge to understand and apply MST effectively in solving connectivity challenges across different fields. Duration - 3h 16m. Author - N.B. Singh. Narrator - Digital Voice Mary G. Published Date - Monday, 20 January 2025. Copyright - © 2024 N.B. Singh ©.
Language:
English
Preface
Duration:00:00:33
Introduction to Combinatorial Optimization
Duration:00:01:22
Overview of Combinatorial Problems
Duration:00:03:04
Optimization Techniques
Duration:00:03:39
Graph Theory Basics
Duration:00:02:59
Importance of MST in Combinatorial Optimization
Duration:00:03:11
Historical Background
Duration:00:03:23
Outline of the Book
Duration:00:04:27
Fundamentals of Graph Theory
Duration:00:01:03
Graphs and Their Representations
Duration:00:04:40
Graph Terminology
Duration:00:02:57
Types of Graphs
Duration:00:03:21
Graph Traversal Algorithms
Duration:00:04:15
Connectivity and Components
Duration:00:03:54
Graph Properties Relevant to MST
Duration:00:03:46
Minimum Spanning Tree Algorithms
Duration:00:00:04
Kruskal’s Algorithm
Duration:00:03:07
Prim’s Algorithm
Duration:00:02:43
Borůvka’s Algorithm
Duration:00:02:40
Comparison of MST Algorithms
Duration:00:04:19
Implementation Techniques
Duration:00:03:18
Proofs of Correctness
Duration:00:03:20
Advanced MST Algorithms and Techniques
Duration:00:01:03
Fibonacci Heap Implementation
Duration:00:04:45
Reverse-Delete Algorithm
Duration:00:05:04
Parallel MST Algorithms
Duration:00:05:15
Dynamic MST Algorithms
Duration:00:04:56
Distributed MST Algorithms
Duration:00:05:18
Approximation Algorithms
Duration:00:05:49
Applications of Minimum Spanning Trees
Duration:00:01:16
Network Design
Duration:00:06:12
Approximation of NP-Hard Problems
Duration:00:04:31
Image Segmentation
Duration:00:04:07
Phylogenetic Trees
Duration:00:04:13
Supply Chain Optimization
Duration:00:04:16
Complexity and Performance Analysis
Duration:00:01:06
Time Complexity Analysis
Duration:00:04:41
Space Complexity Analysis
Duration:00:05:14
Worst-Case Scenarios
Duration:00:04:59
Average-Case Scenarios
Duration:00:05:10
Lower Bounds
Duration:00:04:24
Experimental Performance
Duration:00:04:49
Recent Developments and Research Directions
Duration:00:01:07
Recent Algorithmic Improvements
Duration:00:04:47
Quantum Computing and MST
Duration:00:05:25
Machine Learning Approaches
Duration:00:05:10
Open Problems
Duration:00:04:48
Research Case Studies
Duration:00:07:17
Future Directions
Duration:00:07:45