Hypergraphs | Parametric families of graphs
In the mathematical theory of hypergraphs, a hedgehog is a 3-uniform hypergraph defined from an integer parameter . It has vertices, of which can be labeled by the integers from to and the remaining of which can be labeled by unordered pairs of these integers. For each pair of integers in this range, it has a hyperedge whose vertices have the labels , , and . Equivalently it can be formed from a complete graph by adding a new vertex to each edge of the complete graph, extending it to an order-3 hyperedge. The properties of this hypergraph make it of interest in Ramsey theory. (Wikipedia).
Raffaella Mulas - Spectral theory of hypergraphs
Hypergraphs are a generalization of graphs in which vertices are joined by edges of any size. In this talk, we generalize the graph normalized Laplace operators to the case of hypergraphs, and we discuss some properties of their spectra. We discuss the geometrical meaning of the largest an
From playlist Research Spotlight
Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning
Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an
From playlist Maths Topics
Advances on Ramsey numbers - Jacob Fox
https://www.math.ias.edu/seminars/abstract?event=83564
From playlist Computer Science/Discrete Mathematics
3D Trig & Parametric Surface Demo In GeoGebra 3D with Augmented Reality
#Math Ts: If your #precalculus Ss study parametric EQ’s & #trig graphs in #2D, they CAN model something like this in #3D! And the #AugmentedReality part of #geogebra 3D allows Ss to virtually test such models on their phones & tablets!
From playlist GeoGebra 3D with AR (iOS): Explorations, Demos, and Lesson Ideas
What are Hyperbolas? | Ch 1, Hyperbolic Trigonometry
This is the first chapter in a series about hyperbolas from first principles, reimagining trigonometry using hyperbolas instead of circles. This first chapter defines hyperbolas and hyperbolic relationships and sets some foreshadowings for later chapters This is my completed submission t
From playlist Summer of Math Exposition 2 videos
Modeling a 2-Piece Candle Holder in GeoGebra Augmented Reality
Math Teachers: Students can use GeoGebra Augmented Reality to create surfaces formed by rotating the graph of a function y = f(x) about the x-axis! Here's how: https://www.geogebra.org/m/RKYFdQJy#material/kPNmmHgj.
From playlist GeoGebra Augmented Reality (older iOS app)
Emilie Purvine (5/2/21): Homology of Graphs and Hypergraphs
Graphs and hypergraphs are typically studied from a combinatorial perspective. A graph being a collection of vertices and pairwise relationships (edges) among the vertices, and a hypergraph capturing multi-way or groupwise relationships (hyperedges) among the vertices. But both of these ob
From playlist TDA: Tutte Institute & Western University - 2021
Algebra Ch 40: Hyperbolas (1 of 10) What is a Hyperbola?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn a hyperbola is a graph that result from meeting the following conditions: 1) |d1-d2|=constant (same number) 2) the grap
From playlist THE "HOW TO" PLAYLIST
A very quick demo of how to access the 2D and 3D calculator on Geogebra.
From playlist Geogebra
DSI | Hypergraphs and Topology for Data Science | By Emilie Purvine
Data scientists and applied mathematicians must grapple with complex data when analyzing complex systems. Analytical methods almost always represent phenomena as a much simpler level than the complex structure or dynamics inherent in systems, through either simpler measured or sampled data
From playlist DSI Virtual Seminar Series
Quasirandom Hypergraphs - Dhruv Mubayi
Dhruv Mubayi University of Illinois at Chicago March 4, 2013 Since the foundational results of Thomason and Chung-Graham-Wilson on quasirandom graphs over 20 years ago, there has been a lot of effort by many researchers to extend the theory to hypergraphs. I will present some of this histo
From playlist Mathematics
Link: https://www.geogebra.org/m/D4hmNy9M
From playlist 3D: Dynamic Interactives!
Emilie Purvine (3/3/23): Applied Topology for Discrete Structures
Discrete structures have a long history of use in applied mathematics. Graphs and hypergraphs provide models of social networks, biological systems, academic collaborations, and much more. Network science, and more recently hypernetwork science, have been used to great effect in analyzing
From playlist Vietoris-Rips Seminar
Chidambaram Annamalai: Finding Perfect Matchings in Bipartite Hypergraphs
Haxell's condition is a natural hypergraph analog of Hall's condition, which is a well-known necessary and sufficient condition for a bipartite graph to admit a perfect matching. That is, when Haxell's condition holds it forces the existence of a perfect matching in the bipartite hypergrap
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Wolfram Physics II: Emergent Hypergraph Geometry and General Relativity
Find more information about the summer school here: https://education.wolfram.com/summer/school Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announcement Find the tools to build a universe: https:
From playlist Wolfram Summer Programs
Extremal Problems for Uniformly Dense Hypergraphs - Mathias Schacht
Computer Science/Discrete Mathematics Seminar I Topic: Extremal Problems for Uniformly Dense Hypergraphs Speaker: Mathias Schacht Affiliation: Universität Hamburg Date: March 20, 2023 Extremal combinatorics is a central research area in discrete mathematics. The field can be traced back
From playlist Mathematics
How to Format Multiple Objects Simultaneously in GeoGebra & How to EASILY Create a Line of Best Fit
Screencast takes place in GeoGebra's Graphing Calculator: www.geogebra.org/graphing
From playlist GeoGebra: It's REALLY THAT EASY!!! (Short Silent Screencasts)
Wolfram Physics I: Basic Formalism, Causal Invariance and Special Relativity
Find more information about the summer school here: https://education.wolfram.com/summer/school Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announcement Find the tools to build a universe: https:
From playlist Wolfram Summer Programs