Graph theory objects | Infinite graphs | Unsolved problems in graph theory
In the mathematics of infinite graphs, an unfriendly partition or majority coloring is a partition of the vertices of the graph into disjoint subsets, so that every vertex has at least as many neighbors in other sets as it has in its own set. It is a generalization of the concept of a maximum cut for finite graphs, which is automatically an unfriendly partition. (If not, a vertex with more neighbors in its own set could be moved to the other set, increasing the number of cut edges.) The unfriendly partition conjecture is an unsolved problem asking whether every countable graph has an unfriendly partition into two subsets. Robert H. Cowan and William R. Emerson, in unpublished work, conjectured that every infinite graph has an unfriendly partition into two subsets. However, Saharon Shelah and Eric Charles Milner disproved the conjecture, showing that uncountable graphs might not have two-subset unfriendly partitions. Nevertheless, they showed that an unfriendly partition into three subsets always exists. Among countable graphs, the existence of a two-subset unfriendly partition is known for the following special cases: * Graphs that have finitely many vertices of infinite degree * Graphs in which all vertices have infinite degree, by an argument using the back-and-forth method * Graphs with no end * Graphs without a subdivision of an infinite clique The case for arbitrary countable graphs remains open. (Wikipedia).
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(ML 1.3) What is unsupervised learning?
A broad overview. A playlist of these Machine Learning videos is available here: http://www.youtube.com/my_playlists?p=D0F06AA0D2E8FFBA
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Partitions of a Set | Set Theory
What is a partition of a set? Partitions are very useful in many different areas of mathematics, so it's an important concept to understand. We'll define partitions of sets and give examples in today's lesson! A partition of a set is basically a way of splitting a set completely into disj
From playlist Set Theory
Segment of the Racism. It Stops With Me@UNSW event produced by Student Life and Learning in collaboration with the MCIC.
From playlist Racism. It Stops With Me@UNSW
This video is part of the Udacity course "Deep Learning". Watch the full course at https://www.udacity.com/course/ud730
From playlist Deep Learning | Udacity
Matthew Kwan: Friendly bisections of random graphs (CMSA Combinatorics Seminar)
CMSA Combinatorics seminar, 15 September 2021 http://combinatorics-australasia.org/seminars.html
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Unsupervised Learning and Clustering - Introduction
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From playlist Machine Learning
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Artificial Super Intelligence - Will we survive?
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From playlist AI Safety
Duncan Mills of Oracle discusses the Hudson project
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Dame Daphne Sheldrick on Love, Life and Elephants
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Introduction to Religion: Lecture 17 - Christianity, Part 1
Investigates what religion is and does, compares religious ideas and practices, and explores how religion influences the relationship between individual and community. Learn more about Missouri State iCourses at http://outreach.missouristate.edu/icourses.htm
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Monotonicity of the Logarithmic Energy for Random Matrices by Benjamin Dadoun
PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
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Jupyter/IPython Dev Meeting, November 22, 2016
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From playlist Jupyter / IPython dev meetings
Take it from a shy person, saying a simple "hello" can come out in unexpected ways. Share this on Facebook: http://on.fb.me/1uAKrAM Share this on Twitter: http://ctt.ec/6nqdX Subscribe: http://bit.ly/1l8JXv3 On the web: http://www.stuffmomnevertoldyou.com/ Twitter: https://twitter.com/
From playlist How Cristen Conger Works
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From playlist Bangalore School on Statistical Physics - XIII - 2022 (Live Streamed)
A brief introduction to partitions and combinatorics. This video is part of the #MegaFavNumbers project. More videos can be found here: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
From playlist MegaFavNumbers