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