Graph invariants | Combinatorics on words | Graph coloring
In the mathematical area of graph theory, the Thue number of a graph is a variation of the chromatic index, defined by and named after mathematician Axel Thue, who studied the squarefree words used to define this number. Alon et al. define a nonrepetitive coloring of a graph to be an assignment of colors to the edges of the graph, such that there does not exist any even-length simple path in the graph in which the colors of the edges in the first half of the path form the same sequence as the colors of the edges in the second half of the path. The Thue number of a graph is the minimum number of colors needed in any nonrepetitive coloring. Variations on this concept involving vertex colorings or more general walks on a graph have been studied by several authors including Barát and Varjú, Barát and Wood (2005), Brešar and Klavžar (2004), and Kündgen and Pelsmajer. (Wikipedia).
My #MegaFavNumbers is the long form centillion
Responding to the call from my favourite math YouTubers. #MegaFavNumbers. The long form centillion. 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
From playlist MegaFavNumbers
My #MegaFavNumber - The Bremner-Macleod Numbers
Much better video here: https://youtu.be/Ct3lCfgJV_A
From playlist MegaFavNumbers
The Infinite Game of Chess (with Outray Chess)
An infinite game of chess with the Thue-Morse sequence. To avoid an infinite game of chess there was a rule that declared that a game would end if any sequence of moves were repeated three times in a row. However Dutch mathematician Max Euwe showed that the Thue-Morse sequence can define
From playlist My Maths Videos
Arne Martin Aurlien: Implement an Esoteric Programming Language for Fun | JSConf EU 2014
Inside most of us there’s a befunge programmer who wants to come out. When doing day-to-day “serious” programming it is usually a good idea to keep them as firmly locked up as possible. Let’s ignore that instinct for a little while. In this talk I’ll try to convince you why you should try
From playlist JSConf EU 2014
#MegaFavNumbers What’s your Mega Favourite Number?
From playlist MegaFavNumbers
The Thue-Morse Sequence (with visualizations)
In this video, we introduce the Prouhet-Thue-Morse sequence, which is a binary sequence. We discuss three methods to construct the sequence and then investigate some of the sequence's properties (including why it is the "fair sharing" sequence, the overlap-free property, its connection to
From playlist Fractals
Arul Shankar, Ordering elliptic curves by conductor
VaNTAGe seminar, on Oct 27, 2020 License: CC-BY-NC-SA. Closed captions provided by Rachana Madhukara.
From playlist Rational points on elliptic curves
#MegaFavNumbers - 7,588,043,387,109,376 by Egi
87,109,376^2=7,588,043,387,109,376. The last 8 digits is the square root😀, it's called an automorphic number which n^2 ends with n
From playlist MegaFavNumbers
Koch Curve from Thue-Morse Turtle Graphics
This video shows the first 65536 steps of the turtle graphics construction of the Koch curve using the Thue-Morse sequence. To learn more about some of the amazing properties of Thue-Morse sequence, see this longer video: https://youtu.be/yqEIhdnfJxE.. #numbertheory #turtlegraphics ______
From playlist Fractals
Hugh Montgomery: Moments of a Thue-Morse generating function
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Make your own number for #MegaFavNumbers
Every string is a number. Get the number for your string at https://angyongen.github.io/MegaFavoriteNumberGenerator/ or check out the code at https://github.com/angyongen/MegaFavoriteNumberGenerator
From playlist MegaFavNumbers
Michael Drmota: Automatic sequences along squares and primes
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
#MegaFavNumbers: 258,474,216. See https://www.youtube.com/watch?v=R2eQVqdUQLI&list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo. Further reading: The OEIS for the sequence: https://oeis.org/A001219 Another relevant sequence: https://oeis.org/A097571 S. P. Mohanty, Which triangular numbers are prod
From playlist MegaFavNumbers
https://www.buymeacoffee.com/TLMaths Navigate the playlist using this Google Doc: https://tinyurl.com/TLMathsGCSE Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me o
From playlist GCSE Maths: N4
Complex Numbers - Basics | Don't Memorise
Now that we know what imaginary numbers are, we can move on to understanding Complex Numbers. ✅To access all videos related to Complex Numbers, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=bmsapLZM
From playlist Complex Numbers
Walking the Dragon and Koch Curves with a Turtle (131072 steps each!)
In this video, we describe two how to draw two amazing curves - the Dragon curve and the Koch curve - using the simple process of Turtle graphics. For both curves, we draw 131072 line segments (this is 2 to the 17th power). It is amazing that such a simple process can draw these complex cu
From playlist Fractals
How do you make the number 1 unique? A constant that is not π or e
In some non integer number base system, how many ways can you write 1? In this video, I wanted to introduce the Komornik-Loreti constant which describes part of the story behind the question how can you make the number 1 unique. In order to give some intuition behind this constant we'll ne
From playlist The CHALKboard 2022
GCSE Maths: N4-05 [Prime Numbers]
https://www.buymeacoffee.com/TLMaths Navigate the playlist using this Google Doc: https://tinyurl.com/TLMathsGCSE Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me o
From playlist GCSE Maths: N4