Lemmas in graph theory | Graph theory

Blow-up lemma

The blow-up lemma, proved by János Komlós, Gábor N. Sárközy, and Endre Szemerédi in 1997, is an important result in extremal graph theory, particularly within the context of the regularity method. It states that the regular pairs in the statement of Szemerédi's regularity lemma behave like complete bipartite graphs in the context of embedding spanning graphs of bounded degree. (Wikipedia).

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Condense a logarithmic expression with product and quotient

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense Logarithms | Hard

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Regularity methods in combinatorics, number theory, and computer science - Jacob Fox

Marston Morse Lectures Topic: Regularity methods in combinatorics, number theory, and computer science Speaker: Jacob Fox Affiliation: Stanford University Date: October 24, 2016 For more videos, visit http://video.ias.edu

From playlist Mathematics

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13. Sparse regularity and the Green-Tao theorem

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX After discussion of Ramanujan graphs, Prof. Zhao discusse

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

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Closure of VP under taking factors (Lecture - 01) by Mrinal Kumar

Discussion Meeting Workshop on Algebraic Complexity Theory  ORGANIZERS Prahladh Harsha, Ramprasad Saptharishi and Srikanth Srinivasan DATE & TIME 25 March 2019 to 29 March 2019 VENUE Madhava Lecture Hall, ICTS Bangalore Algebraic complexity aims at understanding the computationa

From playlist Workshop on Algebraic Complexity Theory 2019

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A Regularity Lemma with Modifications - Guy Moshkovitz

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From playlist Mathematics

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24. Structure of set addition IV: proof of Freiman's theorem

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX This lecture concludes the proof of Freiman's theorem on

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

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Non-commutative rank - Visu Makam

Computer Science/Discrete Mathematics Seminar II Topic: Non-commutative rank Speaker: Visu Makam Affiliation: University of Michigan; Member, School of Mathematics Date: February 5, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Condensing logarithmic expressions

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense Logarithms | Hard

Video thumbnail

Condensing logarithmic expressions

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense Logarithms | Hard

Video thumbnail

Condensing logarithmic expressions

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense Logarithms | Hard

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How to condense a logarithmic expression using a radical

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense Logarithms with Brackets

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Étale cohomology - 11/24/2020

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From playlist Étale cohomology and the Weil conjectures

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[Lesson 27.5 optional] QED Prerequisites Scattering 4.5 An application of Cauchy's Theorem

THis is a supplemental lecture to Scattering 4. In this lesson we practice using complex contour integration to evaluate one of the standard integrals used in the development of the formula of stationary phase. This lesson exercises the use of Cauchy's Theorem and Jordan's Lemma. Note: th

From playlist QED- Prerequisite Topics

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Some closure results for polynomial factorization - Mrinal Kumar

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From playlist Mathematics

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Negative Self Intersection Example

A lot of people say they have trouble with this so I decided to make a video on it.

From playlist One-off Explanations

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Condensing logarithmic expressions

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense and Expand Logarithms

Video thumbnail

Condensing logarithmic expressions

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense and Expand Logarithms

Video thumbnail

Condensing logarithmic expressions

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense and Expand Logarithms

Video thumbnail

Condensing logarithmic expressions

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense and Expand Logarithms

Video thumbnail

Condensing logarithmic expressions

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

From playlist Condense and Expand Logarithms

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Rainbow coloring | Random graph | Extremal graph theory | Complete bipartite graph | Gabriel Andrew Dirac | Pseudorandom graph | Randomized algorithm | Szemerédi regularity lemma | Perfect matching | Boole's inequality | Graph factorization | Degree (graph theory) | Graph embedding | Graph power | Hall's marriage theorem | Greedy algorithm | Equitable coloring