MT3154: Graph Theory


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See this for the question bank.

Marks distribution: 30% Internal Evaluation (Two quizzes (20%) plus class participation (10%)); 30% Mid-term; and 40% End-term.

Reference Sheet: Before the mid-term and end-term examinations, you may submit one handwritten, single-sided page of notes. This reference sheet will be provided to you during the examination. If I find that anyone is abusing this privilege, I may either enforce some uniformity requirements or withdraw this provision for the entire class.


Lectures

Date References
Lecture 01 4th Aug 2026 Introduction and Euler Tour (Ch 1.1 and 1.8)
Lecture 02 5th Aug 2026 Degrees (Ch 1.2)
Lecture 03 7th Aug 2026 Bipartite Graphs and Trees (Ch 1.6 and Theorem 1.5.1)
Lecture 04 11th Aug 2026 Bipartite Graphs and Trees (Ch 1.6 and Theorem 1.5.1)
Lecture 05 12th Aug 2026 Matching in Bipartite Graphs (Ch 2.1)
Lecture 06 14th Aug 2026 Konig's Theorem (Ch 2.1)
Lecture 07 18th Aug 2026 Hall's Theorem (First and second proof) (Ch 2.1)
Lecture 08 19th Aug 2026 Gale and Shapley's Theorem (Ch 2.1)
Lecture 09 21st Aug 2026 Connectivity (Ch 1.4)
Lecture 10 21st Aug 2026 2-Connectivity (Ch 3.1)
Lecture 11 25th Aug 2026 3-Connectivity (Ch 3.2. Thm 3.2.3)
Lecture 12 28th Aug 2026 3-Connectivity (Ch 3.2. Thm 3.2.5)
Lecture 13 1st Sept 2026 Problem Solving Session by Leeja
Lecture 14 8th Sept 2026 Menger's Theorem (Ch 3.3. First proof only.)
Lecture 15 9th Sept 2026 Plane Graphs (Ch 4.2 till Prop 4.2.4. (without proofs)+ relevant def.s in Ch 4.1)
Lecture 16 9th Sept 2026 Euler's Formula (Ch 4.2, Thm 4.2.9.)
Quiz 01 12th Sept 2026


Nr. Book Authors
[1] Graph Theory (Fifth Edition) Reinhard Diestel

All the chapters mentioned above are from [1]. You are encouraged to see the book A First Look at Graph Theory by John Clark, Derek Allan Holton for simpler examples.