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Mod-01 Lec-01 Introduction: Vertex cover and independent set Computer Science 56 min Click to view videos
Mod-01 Lec-02 Matchings: Konigs theorem and Halls theorem Computer Science 58 min Click to view videos
Mod-01 Lec-03 More on Halls theorem and some applications Computer Science 58 min Click to view videos
Mod-01 Lec-04 Tuttes theorem on existence of a perfect matching Computer Science 58 min Click to view videos
Mod-01 Lec-05 More on Tuttes theorem Computer Science 58 min Click to view videos
Mod-01 Lec-06 More on Matchings Computer Science 58 min Click to view videos
Mod-01 Lec-07 Dominating set, path cover Computer Science 59 min Click to view videos
Mod-01 Lec-08 Gallai -- Millgram theorem, Dilworths theorem Computer Science 58 min Click to view videos
Mod-02 Lec-09 Connectivity: 2-connected and 3- connected graphs Computer Science 58 min Click to view videos
Mod-02 Lec-10 Mengers theorem Computer Science 56 min Click to view videos
Mod-02 Lec-11 More on connectivity: k- linkedness Computer Science 55 min Click to view videos
Mod-02 Lec-12 Minors, topological minors and more on k- linkedness Computer Science 56 min Click to view videos
Mod-03 Lec-13 Vertex coloring: Brooks theorem Computer Science 57 min Click to view videos
Mod-03 Lec-14 More on vertex coloring Computer Science 56 min Click to view videos
Mod-03 Lec-15 Edge coloring: Vizings theorem Computer Science 57 min Click to view videos
Mod-03 Lec-16 Proof of Vizings theorem, Introduction to planarity Computer Science 57 min Click to view videos
Mod-03 Lec-17 5- coloring planar graphs, Kuratowskys theorem Computer Science 58 min Click to view videos
Mod-03 Lec-18 Proof of Kuratowskys theorem, List coloring Computer Science 57 min Click to view videos
Mod-03 Lec-19 List chromatic index Computer Science 58 min Click to view videos
Mod-03 Lec-20 Adjacency polynomial of a graph and combinatorial Nullstellensatz Computer Science 57 min Click to view videos
Mod-03 Lec-21 Chromatic polynomial, k - critical graphs Computer Science 57 min Click to view videos
Mod-03 Lec-22 Gallai-Roy theorem, Acyclic coloring, Hadwigers conjecture Computer Science 54 min Click to view videos
Mod-04 Lec-23 Perfect graphs: Examples Computer Science 57 min Click to view videos
Mod-04 Lec-24 Interval graphs, chordal graphs Computer Science 57 min Click to view videos
Mod-04 Lec-25 Proof of weak perfect graph theorem (WPGT) Computer Science 57 min Click to view videos
Mod-04 Lec-26 Second proof of WPGT, Some non-perfect graph classes Computer Science 58 min Click to view videos
Mod-04 Lec-27 More special classes of graphs Computer Science 58 min Click to view videos
Mod-04 Lec-28 Boxicity,Sphericity, Hamiltonian circuits Computer Science 57 min Click to view videos
Mod-04 Lec-29 More on Hamiltonicity: Chvatals theorem Computer Science 58 min Click to view videos
Mod-04 Lec-30 Chvatals theorem, toughness, Hamiltonicity and 4-color conjecture Computer Science 59 min Click to view videos
Mod-05 Lec-31 Network flows: Max flow mincut theorem Computer Science 58 min Click to view videos
Mod-05 Lec-32 More on network flows: Circulations Computer Science 59 min Click to view videos
Mod-05 Lec-33 Circulations and tensions Computer Science 58 min Click to view videos
Mod-05 Lec-34 More on circulations and tensions, flow number and Tuttes flow conjectures Computer Science 57 min Click to view videos
Mod-06 Lec-35 Random graphs and probabilistic method: Preliminaries Computer Science 57 min Click to view videos
Mod-06 Lec-36 Probabilistic method: Markovs inequality, Ramsey number Computer Science 58 min Click to view videos
Mod-06 Lec-37 Probabilistic method: Graphs of high girth and high chromatic number Computer Science 58 min Click to view videos
Mod-06 Lec-38 Probabilistic method: Second moment method, Lovasz local lemma Computer Science 59 min Click to view videos
Mod-07 Lec-39 Graph minors and Hadwigers conjecture Computer Science 58 min Click to view videos
Mod-07 Lec-40 More on graph minors, tree decompositions Computer Science 59 min Click to view videos

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