Order theory | Planar graphs | Theorems in graph theory

Schnyder's theorem

In graph theory, Schnyder's theorem is a characterization of planar graphs in termsof the order dimension of their incidence posets. It is named after Walter Schnyder, who published its proof in . The incidence poset P(G) of an undirected graph G with vertex set V and edge set E is the partially ordered set of height 2 that has V ∪ E as its elements. In this partial order, there is an order relation x < y when x is a vertex, y is an edge, and x is one of the two endpoints of y. The order dimension of a partial order is the smallest number of total orderings whose intersection is the given partial order; such a set of orderings is called a realizer of the partial order.Schnyder's theorem states that a graph G is planar if and only if the order dimension of P(G) is at most three. (Wikipedia).

Video thumbnail

Dealing with Schrodinger's Equation - The Hamiltonian

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. Schrodinger's

From playlist Quantum Mechanics

Video thumbnail

Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (13 of 92) Time & Position Dependencies 2/3

Visit http://ilectureonline.com for more math and science lectures! In this video I will find C=?, of the position part of the Schrodinger's equation by using the time dependent part of Schrodinger's equation, part 2/3. Next video in this series can be seen at: https://youtu.be/1mxipWt-W

From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION

Video thumbnail

The Schrodinger Equation is (Almost) Impossible to Solve.

Sure, the equation is easily solvable for perfect / idealized systems, but almost impossible for any real systems. The Schrodinger equation is the governing equation of quantum mechanics, and determines the relationship between a system, its surroundings, and a system's wave function. Th

From playlist Quantum Physics by Parth G

Video thumbnail

Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger

In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some

From playlist Famous Math Problems

Video thumbnail

C. Voisin - Cubic fourfolds, hyper-Kähler manifolds and their degenerations

There at least three families of hyper-K ̈ahler manifolds built from cubic fourfolds, the most recently discovered one being the compactified intermediate Jacobian fibrations I constructed with Laza and Sacca. In a joint work with Koll ́ar, Laza and Sacca, we provide an easy way to comput

From playlist Complex analytic and differential geometry - a conference in honor of Jean-Pierre Demailly - 6-9 juin 2017

Video thumbnail

Separation of variables and the Schrodinger equation

A brief explanation of separation of variables, application to the time-dependent Schrodinger equation, and the solution to the time part. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/

From playlist Mathematical Physics II - Youtube

Video thumbnail

pp-adic etale cohomology of pp-adic symmetric spaces Pierre Colmez

Workshop on Motives Galois Representations and Cohomology Around the Langlands Program Topic: pp-adic etale cohomology of pp-adic symmetric spaces Speaker: Pierre Colmez Affiliation: Universite Pierre et Marie Curie Date: November 6, 2017 For more videos, please visit http://video.ias.ed

From playlist Mathematics

Video thumbnail

Laurent Fargues - La correspondance de Langlands locale: construction des paramètres semi-simples

J'expliquerai la stratégie générale de construction des paramètres de Langlands semi-simple pour la correspondance de Langlands sur un corps p-adique. Cette construction utilise un procédé de géométrisation passant par le champ des fibrés sur la courbe. Il s'agit d'un travail en cours en c

From playlist The Paris-London Number Theory Seminar, Oct. 2019

Video thumbnail

Online-Vortrag "Blick in den Körper: Über das Inverse und medizinische Bildgebung" (Director's Cut)

Aufzeichnung (Director's Cut): Prof. Dr. Benedikt Wirth erläutert im Rahmen der öffentlichen Reihe "Brücken in der Mathematik" die mathematischen Konzepte hinter der medizinischen Bildgebung. Darum geht es: Moderne Technik erlaubt den Blick in den Körper, ohne ihn zu öffnen. Es wird sozu

From playlist Brücken in der Mathematik

Video thumbnail

The Schrodinger equation made simple | Linearity

We've talked about the quantum state plenty- but what happens to it over time? That's exactly the question the Schrodinger equation solves. This video we talk about 'Linearity'. In the next video we discuss the equation itself and its derivation. Click here fore that: https://youtu.be/DEgW

From playlist Quantum Mechanics (all the videos)

Video thumbnail

Jean-François Le Gall (Universite Paris-Saclay) -- Compact and non-compact models of random geometry

We discuss various models of random geometry that arise as scaling limits of large planar graphs embedded in the 2-sphere (also called planar maps). The most popular compact models are the Brownian sphere or Brownian map, and the Brownian disk, which is the scaling limit of

From playlist Columbia Probability Seminar

Video thumbnail

A quantum particle in a periodic egg carton potential

This simulation of a quantum particle in a periodic particle explores a new visualization, in which the z-coordinate is the sum of the potential, and another quantity related to the wave function (either its real part, or its modulus squared). There is a detailed theory on Schrödinger's eq

From playlist Schrödinger's equation

Video thumbnail

Isabelle Régner : Effet interférent des stéréotypes de genre sur les performances des filles [...]

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 Forum mathématiques vivantes

Video thumbnail

Online-Vortrag "Blick in den Körper: Über das Inverse und medizinische Bildgebung" (Livestream)

Der Vortrag beginnt bei Minute 10:20! Aufzeichnung des Livestreams (inkl. Livechat). Teil der Vortragsreihe "Brücken in der Mathematik" des Exzellenzclusters Mathematik Münster, diesmal mit Prof. Dr. Benedikt Wirth. Dies ist die Original-Aufzeichnung des Livestreams. Hier finden Sie den "

From playlist Brücken in der Mathematik

Video thumbnail

Nicolas Chopin: An introduction to particle filters

Abstract: This course will give a gentle introduction to SMC (Sequential Monte Carlo algorithms): • motivation: state-space (hidden Markov) models, sequential analysis of such models; non-sequential problems that may be tackled using SMC. • Formalism: Markov kernels, Feynman-Kac distributi

From playlist Probability and Statistics

Video thumbnail

What is the Schrödinger Equation? A basic introduction to Quantum Mechanics

This video provides a basic introduction to the Schrödinger equation by exploring how it can be used to perform simple quantum mechanical calculations. After explaining the basic structure of the equation, the infinite square well potential is used as a case study. The separation of variab

From playlist Quantum Physics

Video thumbnail

Luis Vega: Some lower bounds for solutions of Schrödinger evolutions

Abstract: I’ll give some lower bounds for regular solutions of Schrödinger equations with bounded and time dependent complex potentials. Assuming that the solution has some positive mass at time zero within a ball of certain radius, we prove that this mass can be observed if one looks at t

From playlist Follow-up Workshop to TP "Harmonic Analysis and Partial Differential Equations"

Video thumbnail

Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)

This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f

From playlist Math 1171 (Calculus 1) Fall 2021

Video thumbnail

Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (17 of 92) How to Use Schrod. Eqn: 2

Visit http://ilectureonline.com for more math and science lectures! In this video I will show how to use the Schrodinger's equation, part 2/2. Next video in this series can be seen at: https://youtu.be/kO9JZgVXqyU

From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION

Video thumbnail

Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

Related pages

Abstract simplicial complex | Graph theory | Incidence poset | SIAM Journal on Discrete Mathematics | Convex polytope | Journal of Graph Algorithms and Applications | Vertex (graph theory) | Order (journal) | Complete graph | International Symposium on Graph Drawing | Order dimension | Partially ordered set | Planar graph | Antichain | Euclidean space | Graph coloring