In the mathematical subfield of graph theory, a centered tree is a tree with only one center, and a bicentered tree is a tree with two centers. Given a graph, the eccentricity of a vertex v is defined as the greatest distance from v to any other vertex. A center of a graph is a vertex with minimal eccentricity. A graph can have an arbitrary number of centers. However, has proved that for trees, there are only two possibilities: 1. * The tree has precisely one center (centered trees). 2. * The tree has precisely two centers (bicentered trees). In this case, the two centers are adjacent. A proof of this fact is given, for example, by Harary. (Wikipedia).
This video introduces rooted trees and how to define the relationships among vertices in a rooted tree. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Morphing Symmetric Binary Trees (visual calming for anxiety; bilateral stimulation)
A symmetric binary tree is obtained by applying certain affine linear transformations recursively to the leaves starting with a trunk of unit length. This video shows six different scale factors and morphs between various angles of rotation. The animation is set to Bilateral music to help
From playlist Fractals
Introduction to Spanning Trees
This video introduces spanning trees. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Bilateral Stimulation with Binary Symmetric Trees (visual calming for anxiety)
This video shows ten different symmetric binary trees obtained by applying certain affine linear transformations recursively to the leaves starting with a trunk of unit length. The animation is set to Bilateral music to help some people feel calm while enjoying the beauty and wonder of the
From playlist Fractals
Morphing symmetric binary branching tree
A symmetric binary tree is obtained by applying certain affine linear transformations recursively to the leaves starting with a trunk of unit length. This video shows a scale factor given by the golden ratio (well, roughly 0.618) and morphs between various angles of rotation. To build yo
From playlist Fractals
Symmetric Binary Trees (visual construction)
In this video, we see how to change use two parameters (scale factor and angle of rotation) to create various symmetric binary trees. We show five different examples of such trees (up to level 13). Choose your own parameters and create your own! Check out these videos for related construc
From playlist Fractals
See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have discussed binary tree in detail. We have talked about different types of binary tree like "complete binary tree", "perfect binary tree" and "balance
From playlist Data structures
What are Connected Graphs? | Graph Theory
What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr
From playlist Graph Theory
Identifying Isomorphic Trees | Source Code | Graph Theory
Source code for identifying isomorphic trees Related videos: Tree Isomorphism video: https://youtu.be/OCKvEMF0Xac Tree center(s) video: https://youtu.be/Fa3VYhQPTOI Rooting a tree video: https://youtu.be/2FFq2_je7Lg Source code repository: https://github.com/williamfiset/algorithms#tree
From playlist Tree Algorithms
Identifying Isomorphic Trees | Graph Theory
Identifying and encoding isomorphic trees Algorithms repository: https://github.com/williamfiset/algorithms#tree-algorithms Video slides: https://github.com/williamfiset/Algorithms/tree/master/slides Video source code: https://github.com/williamfiset/Algorithms/tree/master/com/williamfi
From playlist Tree Algorithms
Adam Polak: Nearly-Tight and Oblivious Algorithms for Explainable Clustering
We study the problem of explainable clustering in the setting first formalized by Dasgupta, Frost, Moshkovitz, and Rashtchian (ICML 2020). A k-clustering is said to b e explainable if it is given by a decision tree where each internal no de splits data points with a threshold cut in a sing
From playlist Workshop: Approximation and Relaxation
Fibonacci = Pythagoras: Help save a beautiful discovery from oblivion
In 2007 a simple beautiful connection Pythagorean triples and the Fibonacci sequence was discovered. This video is about popularising this connection which previously went largely unnoticed. 00:00 Intro 07:07 Pythagorean triple tree 13:44 Pythagoras's other tree 16:02 Feuerbach miracle 24
From playlist Recent videos
CSE 519 --- Lecture 20: Clustering (Fall 2021)
11/18/21
From playlist CSE519 --- Data Science Fundamentals (Fall 2021)
Julien Tierny (2/3/22): Wasserstein Distances, Geodesics and Barycenters of Merge Trees
In this talk, I will present a unified computational framework for the estimation of distances, geodesics and barycenters of merge trees. We extend recent work on the edit distance and introduce a new metric, called the Wasserstein distance between merge trees, which is purposely designed
From playlist AATRN 2022
PortLand: Scaling Data Center Networks to 100,000 Ports and Beyond
(November 18, 2009) Amin Vahdat, a professor of Computer Science and Engineering at the University of California-San Diego, discusses PortLand, a scalable, fault tolerant layer 2 routing and forwarding protocol for data centers, and places the work in the context of his larger efforts in d
From playlist Engineering
Timothy Budd: Random hyperbolic surfaces
HYBRID EVENT Recorded during the meeting "Random Geometry" the January 18, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics
From playlist Probability and Statistics
Basic Drawing: 3pt Cityscape #10
Professor Leone demos making buildings more specific.
From playlist THE BASICS
Determining two angles that are supplementary
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
CS224W: Machine Learning with Graphs | 2021 | Lecture 19.2 - Hyperbolic Graph Embeddings
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3Brc7vN Jure Leskovec Computer Science, PhD In previous lectures, we focused on graph representation learning in Euclidean embedding spaces. In this lecture, we in
From playlist Stanford CS224W: Machine Learning with Graphs