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What is...the Erdős-Gallai theorem?
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Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...the Erdős-Gallai theorem? Or: Realizing graphs.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
Thumbnail.
Main theorem.
Graph background.
Mathematica.
Pictures used.
YouTube and co.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...the Erdős-Gallai theorem? Or: Realizing graphs.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
Thumbnail.
Main theorem.
Graph background.
Mathematica.
Pictures used.
YouTube and co.
What is...the Erdős-Gallai theorem?
GALLAI THEOREM
Oct. 8, 202, Michael Barrus: The Erdős-Gallai differences of a degree sequence
Which Sequences are Graphical? (Degree Sequences and Havel-Hakimi algorithm) | Graph Theory
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STOC 2023 - 4C - Towards the Erdős-Gallai Cycle Decomposition Conjecture.
Robust sublinear expanders, and an application towards the Erdos-Gallai conjecture - Matija Bucic
Petr Golovach: Longest cycle above Paul Erdős-Gallai bound
Introduction to Gallai's Theorem - Theorem 7.2
Erdős–Szemerédi theorem
Proving the Erdős Primitive Set Conjecture
Sophie Spirkl - The Erdős-Hajnal conjecture for the five-cycle (CMSA Combinatorics seminar)
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Erdős–Stone Theorem. MATH 492/529 Extremal Combinatorics, University of Victoria.
Erdős–Ko–Rado Theorem. MATH 492/529 Extremal Combinatorics, University of Victoria.
10.4. Gallai's theorem
Probabilistic Methods 2-1: Erdos-Ko-Rado
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