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Lecture Series of Graph Theory

⭐ Definition of Graph and Basic Terminologies:    • Definition of Graph and Basic Terminologies  
⭐ Types of Undirected and Directed Graphs:    • Types of Undirected and Directed Graphs  
⭐ Degree of Graph and Handshaking Theorem:    • Degree of Graph and Handshaking Theorem  

⭐ Complete graph, Cycle, Wheel: Types of Simple Graph–I:    • Complete graph, Cycle, Wheel: Types of Sim...  
⭐ Bipartite and Complete Bipartite Graph: Types Of Simple Graphs—II:    • Bipartite and Complete Bipartite Graph: Ty...  
⭐ N-Cube or Hypercube Graph: Types Of Simple Graphs – III:    • N-Cube or Hypercube Graph: Types Of Simple...  
⭐ Constructing Hypercube Graphs With Ease:    • Constructing Hypercube Graphs With Ease  

⭐ Subgraph, Complementary Graphs and Unions:    • Subgraph, Complementary Graphs and Unions  

⭐ Adjacency Matrix of Undirected and Digraphs: Matrix Representation:    • Adjacency Matrix of Undirected and Digraph...  
⭐ Incidence Matrix of Undirected and Digraphs: Matrix Representation:    • Incidence Matrix of Undirected and Digraph...  

⭐ Exploring Paths: Simple Paths, Circuits, and Counting Paths:    • Exploring Paths: Simple Paths, Circuits, a...  
⭐ Connected graph & Strongly and weakly connected graphs:    • Connected graph & Strongly and weakly conn...  
⭐ Vertex and Edge Cuts: Connectivity Inequality:    • Vertex and Edge Cuts: Connectivity Inequality  

⭐ Euler Paths and Circuits in Undirected Graphs:    • Euler Paths and Circuits in Undirected Graphs  
⭐ Euler Paths and Circuits in Directed Graphs:    • Euler Paths and Circuits in Directed Graphs  
⭐ Hamilton Paths and Circuits in Undirected Graphs: Dirac's and Ore's theorem:    • Hamilton Paths and Circuits in Undirected ...  

⭐ Quick Review on Simple Graph Properties: Edges, Vertices, Euler and Hamilton path/circuits:    • Quick Review on Simple Graph Properties: E...  

⭐ Isomorphism in Graph Theory:    • Isomorphism in Graph Theory  
⭐ Alternative Approaches for Proving Isomorphic Graphs:    • Alternative Approaches for Proving Isomorp...  
⭐ Proving Isomorphism in Regular Graphs: A Trick:    • Proving Isomorphism In Regular Graphs: A T...  
⭐ Non-isomorphic Graphs Using Path Concept:    • Non-isomorphic Graphs Using Path Concept  

⭐ Dijkstra's Algorithm:    • Dijkstra's Algorithm  
⭐ Dijkstra's Algorithm: Another Shortest Path Example:    • Dijkstra's Algorithm: Another Shortest Pat...  

⭐ Planar graph:    • Planar graphs  
⭐ Euler Formula for Planar Graphs:    • Euler Formula for Planar Graphs  
⭐ Non-Planar Graph Proof Strategy: Demonstrating K₅ and K₃,₃ as Non-Planar Graphs:    • Non-Planar Graph Proof Strategy: Demonstra...  
⭐ Subdivisions, Homeomorphic graphs and Kuratowski’s Theorem:    • Subdivisions, Homeomorphic graphs and Kura...  

⭐ Graph Coloring, Chromatic Number, and Four Color Theorem:    • Graph Coloring, Chromatic Number, and Four...  
⭐Chromatic Number of Simple Graphs: Complete, Cycle, Wheel, Bipartite, Complete Bipartite, and nCube:    • Chromatic Number of Simple Graphs: Complet...  

⭐ Introduction to Trees & Its Properties | Graph Theory:    • Introduction to Trees & Its Properties | G...  
⭐ Rooted Trees Explained | Key Terminologies in Rooted Tree:    • Rooted Trees Explained | Key Terminologies...  
⭐ Binary, m-ary, and Full Trees 🌳 with Full m-ary Tree Formulas: n = im + 1, n = i + l:    • Binary, m-ary, and Full Trees 🌳 with Full ...  
⭐ Rooted Trees: Levels, Height, Balanced Trees & Max Leaves in m-ary Trees:    • Rooted Trees: Levels, Height, Balanced Tre...  
⭐ Spanning Tree & Minimum Spanning Tree | Prim's & Kruskal’s Explained with Example:    • Spanning Tree & Minimum Spanning Tree | Pr...  
⭐ Learn Pre-order, In-order & Post-order Tree Traversals:    • Learn Pre-order, In-order & Post-order Tre...  
⭐ Tree Traversal Hack: Pre-order, In-order, Post-order Without a Stack:    • Tree Traversal Hack: Pre-order, In-order, ...  
⭐ Infix, Prefix and Postfix notations | Tree Traversal Applications:    • Infix, Prefix and Postfix notations | Tree...  
⭐ Constructing and Evaluating a Binary Expression Tree from Prefix, Infix, and Postfix Expressions:    • Constructing and Evaluating a Binary Expre...