Graph theory objects | Graph minor theory

Bramble (graph theory)

In graph theory, a bramble for an undirected graph G is a family of connected subgraphs of G that all touch each other: for every pair of disjoint subgraphs, there must exist an edge in G that has one endpoint in each subgraph. The order of a bramble is the smallest size of a hitting set, a set of vertices of G that has a nonempty intersection with each of the subgraphs. Brambles may be used to characterize the treewidth of G. (Wikipedia).

Bramble (graph theory)
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Graph Theory: 02. Definition of a Graph

In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio

From playlist Graph Theory part-1

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What is a Graph? | Graph Theory

What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each

From playlist Graph Theory

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Graph Theory: 04. Families of Graphs

This video describes some important families of graph in Graph Theory, including Complete Graphs, Bipartite Graphs, Paths and Cycles. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https://www.youtube.com/watch?v=S1Zwhz-MhCs (Graph Theory: 02. Definit

From playlist Graph Theory part-1

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Robert Scheichl: Generalised finite elements: domain decomposition, optimal local approximation...

I will present an efficient implementation of the highly robust and scalable GenEO preconditioner in the high-performance PDE framework DUNE. The GenEO coarse space is constructed by combining low energy solutions of local generalised eigenproblems using a partition of unity. In this talk,

From playlist Numerical Analysis and Scientific Computing

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Graph Theory FAQs: 01. More General Graph Definition

In video 02: Definition of a Graph, we defined a (simple) graph as a set of vertices together with a set of edges where the edges are 2-subsets of the vertex set. Notice that this definition does not allow for multiple edges or loops. In general on this channel, we have been discussing o

From playlist Graph Theory FAQs

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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

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Graph Theory: 05. Connected and Regular Graphs

We give the definition of a connected graph and give examples of connected and disconnected graphs. We also discuss the concepts of the neighbourhood of a vertex and the degree of a vertex. This allows us to define a regular graph, and we give some examples of these. --An introduction to

From playlist Graph Theory part-1

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What is a Subgraph? | Graph Theory

What is a subgraph? We go over it in today's math lesson! If you're familiar with subsets, then subgraphs are probably exactly what you think they are. Recall that a graph G = (V(G), E(G)) is an ordered pair with a vertex set V(G) and an edge set E(G). Then, another graph H = (V(H), E(H))

From playlist Graph Theory

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Wall of Brambles from Unlimited MTG Magic the Gathering

Wall of Brambles from Unlimited MTG Magic the Gathering

From playlist MTG Unlimited

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GIANT Stick Insect | Jungle Nymph | Creature Feature

Giant Stick Insects – Jungle Nymphs. Creature Feature. Hey Guys! It’s another CREATURE FEATURE! Today, you get to meet Malay, the Malayan Jungle Nymph. We’ll be learning all about her in the first part of the video, and then towards the end, we explore what she would be like as a pet. Le

From playlist Animal Videos

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The Pull of Half Life - Guns & Gravity - Extra Credits

Go to https://NordVPN.com/extracredits and use code EXTRACREDITS to get 68% off a 2 year plan plus 1 additional month free. It’s risk free with Nord’s 30 day money-back guarantee! Learn how a VPN works: https://www.youtube.com/watch?v=yCWNRzoQGis The last of our mini series of science i

From playlist Extra Credits (ALL EPISODES)

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The Keys to Game Management - Management Culture Around the World - Extra Credits

Thanks to Fawzi Mesmar for writing this episode! As the Game Jam approaches and teams scramble to make a game over the weekend, we figured these tips on team management might be helpful! If you'd like to jam, check out our page here: https://bit.ly/349UpQf Fawzi Mesmar, the author of Al-K

From playlist Extra Credits (ALL EPISODES)

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Graph Theory: 57. Planar Graphs

A planar graph is a graph that can be drawn in the plane without any edge crossings. Such a drawing (with no edge crossings) is called a plane graph. A given plane graph divides the plane into regions and each region has a boundary that outlines it. We look at some examples and also giv

From playlist Graph Theory part-10

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Schrodinger's Coin - Quantum Multiverse Theory in Bioshock Infinite - Extra Credits

Bioshock Infinite takes us through Columbia where things aren't exactly right... And then we find Elizabeth who can tear rifts in reality. Booker, catch! But... how stable is this plot on real world physics? Strangely, Bioshock Infinite gets a lot right on the underlying quantum mechanics

From playlist Extra Credits (ALL EPISODES)

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First Mammal Extinction by Climate Change | National Geographic

The Bramble Cay melomys, also called the mosaic-tailed rat, is likely the first mammal to go extinct because of human-induced climate change. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, explorati

From playlist News | National Geographic

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Quadratic Factorisation (3 of 3: Interpreting quadratic solutions)

More resources available at www.misterwootube.com

From playlist Working with Functions

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Graph Theory: 03. Examples of Graphs

We provide some basic examples of graphs in Graph Theory. This video will help you to get familiar with the notation and what it represents. We also discuss the idea of adjacent vertices and edges. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https

From playlist Graph Theory part-1

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Graph Theory: 36. Definition of a Tree

In this video I define a tree and a forest in graph theory. I discuss the difference between labelled trees and non-isomorphic trees. I also show why every tree must have at least two leaves. An introduction to Graph Theory by Dr. Sarada Herke. Related Videos: http://youtu.be/zxu0dL436gI

From playlist Graph Theory part-7

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Cuckoos and their victims: An evolutionary arms race

Cuckoos and their victims: An evolutionary arms race is 2015's Croonian Lecture by Professor Nicholas Davies FRS, given at the Royal Society, London, on Thursday 14 May 2015, 6.30-7.30pm BST. Nick Davies' fascinating lecture reveals one of nature's most interesting stories based on his ex

From playlist Popular talks and lectures

Related pages

Disjoint sets | Graph theory | Haven (graph theory) | Hitting set | Graph (discrete mathematics) | Treewidth | Randomized algorithm | Vertex (graph theory) | Expander graph | Directed graph | Degree (graph theory) | Glossary of graph theory | Intersection