[This is just a placeholder for the moment. I’ll update it a bit more later.]
Tag: graph theory
Fractional Hedetniemi’s conjecture and Chromatic Ramsey number – Ramsey DocCourse Prague 2016
The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.
Title: Fractional Hedetniemi’s conjecture and Chromatic Ramsey number
Lecturer: Xuding Zhu
Date: November 9, 2016
Main Topics: Chromatic Ramsey numbers, lower bound for them, Hedetniemi’s conjecture, fractional Hedetniemi’s conjecture.
Definitions: 
Hrushovski constructions – Ramsey DocCourse Prague 2016
The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.
Title: Hrushovski constructions 1 (of 3)
Lecturer: David Evans
Date: November 7, 2016
Main Topics: Definition Review, 
Definitions:
Continue reading Hrushovski constructions – Ramsey DocCourse Prague 2016
Dynamical systems and Ramsey theory – Ramsey DocCourse Prague 2016
The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.
Title: Ergodic theory and amenable groups
Lecturer: Benjamin Weiss
Date: October 31, 2016.
Main Topics: Three equivalent notions of amenability, Basic concepts in ergodic actions, Furstenberg’s Ergodic proof of Szemerédi’s theorem
Definitions: Ergodic action, weak mixing, mixing, Banach limit, amenable group, left invariant mean, paradoxical decomposition, Følner sequence
Continue reading Dynamical systems and Ramsey theory – Ramsey DocCourse Prague 2016
Functions on Homogeneous Ramsey Structures 3 – Ramsey DocCourse Prague 2016
The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.
Title: Functions on Homogeneous Ramsey Structures 3 (of 3).
Lecturer: Michael Pinsker.
Date: Friday October 14, 2016.
Main Topics: Proof of Ramsey claim for canonical functions, Thomas’ Theorem for the Rado Graph, Open questions
Definitions: No new definitions
Lecture 1 – Lecture 2 – Lecture 3
Continue reading Functions on Homogeneous Ramsey Structures 3 – Ramsey DocCourse Prague 2016
Bootcamp 6 – Ramsey DocCourse Prague 2016
The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.
Title: Bootcamp (6 of 6)
Lecturer: Jaroslav Nesetril
Date: Monday October 3, 2016.
Main Topics: Other applications of the “product argument”, Chain-Ramsey for Posets, Proof of edge-Ramsey for Graphs, Proof of Hales-Jewett
Definitions: Structural pigeonhole principle, Poset, Graph product, Combinatorial line
Bootcamp 1 – Bootcamp 2 – Bootcamp 3 – Bootcamp 4 – Bootcamp 5 – Bootcamp 6
Continue reading Bootcamp 6 – Ramsey DocCourse Prague 2016
Bootcamp 3 – Ramsey DocCourse Prague 2016
The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.
Title: Bootcamp (3 of 6)
Lecturer: Jaroslav Nešetřil
Date: Friday September 23, 2016.
Main Topics: Point Ramsey for graphs, 
Definitions: Ramsey property for finite structures, Ramsey Class, point-Ramsey, edge-Ramsey,
Bootcamp 1 – Bootcamp 2 – Bootcamp 3 – Bootcamp 4 – Bootcamp 5 – Bootcamp 6 – Bootcamp 7
Mike Pawliuk - Mathematics 