Learn · Probabilistic Methods in Combinatorics

Lecture 6 of 11Lecture Videos

Independent Sets and Turán's Theorem

Prof. Yufei Zhao · Massachusetts Institute of Technology

At MIT OpenCourseWare Transcript

Credits and licence

From
Probabilistic Methods in Combinatorics, Massachusetts Institute of Technology (at MIT OpenCourseWare)
Licence
CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only.
Attribution
Prof. Yufei Zhao. Probabilistic Methods in Combinatorics. Fall 2022. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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All the lectures

  1. Large Bipartite Subgraph Video
  2. Lower Bounds to Ramsey Numbers Video
  3. Extremal Set Theory: Sperner's Theorem Video
  4. Extremal Set Theory: Intersecting Families Video
  5. Linearity of Expectations Video
  6. Independent Sets and Turán's Theorem Video
  7. Crossing Number Inequality Video
  8. Markov, Chebyshev, and Chernoff Video
  9. Bounded Differences Inequality (aka Azuma-Hoeffding Inequality) Video
  10. Threshold for a Random Graph to Contain a Triangle Video
  11. Existence of Graphs with High Girth and High Chromatic Number Video