Subgraph in Graph Theory | Edge-Disjoint & Vertex-Disjoint Subgraphs | Discrete Mathematics

Описание: ​‪@aboveengineering‬

*Subgraph in Graph Theory | Edge-Disjoint & Vertex-Disjoint Subgraphs | Discrete Mathematics | Lecture 5*

In this *5th lecture of Graph Theory* under *Discrete Mathematics**, we learn about **Subgraphs* and their types.
This topic is essential for understanding graph decomposition, connectivity, matching problems, and advanced algorithm design.

We cover the *definition of subgraph**, the idea of **actual subgraph**, and the two important types of subgraphs—**edge-disjoint* and *vertex-disjoint* subgraphs.
Each concept is explained using **examples, diagrams, properties, and exam-focused points**, making it easy to understand for all engineering students.

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🔗 *Previous Lectures :*

*Lecture 1 – Introduction to Graph Theory:*
   • Introduction to Graph Theory | Types of Gr...  

*Lecture 2 – Path, Walk, Cycle & Circuit:*
   • Path, Walk, Cycle & Circuit in Graph Theor...  

*Lecture 3 – Special Graphs:*
   • Special Graphs in Graph Theory | Complete,...  

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📌 *Topics Covered in This Lecture:*

– What is a Subgraph? (Definition + Examples)
– Proper / Actual Subgraph
– Induced Subgraph (If covered)
– Spanning Subgraph (If covered)
– Types of Subgraphs:
• *Edge-Disjoint Subgraphs*
• *Vertex-Disjoint Subgraphs*
– Uses of Subgraphs
– Graph Decomposition
– Important Exam Questions

This lecture is useful for:
➡️ B.Tech CSE / IT / AI / DS
➡️ BCA / MCA Students
➡️ Diploma Computer Engineering
➡️ GATE CS Aspirants
➡️ Discrete Mathematics Learners

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📚 *Recommended Books :*

✔ *Engineering Mathematics – D.K. Jain*
✔ *Higher Engineering Mathematics – B.S. Grewal*
✔ *Discrete Mathematics and Its Applications – Kenneth Rosen*
✔ *Elements of Discrete Mathematics – C.L. Liu*
✔ *Graph Theory – Narsingh Deo*
✔ *Discrete Mathematics – Tremblay & Manohar*

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