Hamiltonian paths and cycles | NP-complete problems
The Hamiltonian completion problem is to find the minimal number of edges to add to a graph to make it Hamiltonian. The problem is clearly NP-hard in general case (since its solution gives an answer to the NP-complete problem of determining whether a given graph has a Hamiltonian cycle). The associated decision problem of determining whether K edges can be added to a given graph to produce a Hamiltonian graph is NP-complete. Moreover, Hamiltonian completion belongs to the APX complexity class, i.e., it is unlikely that efficient constant ratio approximation algorithms exist for this problem. The problem may be solved in polynomial time for certain classes of graphs, including series–parallel graphs and their generalizations, which include outerplanar graphs, as well as for a line graph of a treeor a cactus graph. Gamarnik et al. use a linear time algorithm for solving the problem on trees to study the asymptotic number of edges that must be added for sparse random graphs to make them Hamiltonian. (Wikipedia).
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Hamiltonian Mechanics in 10 Minutes
In this video I go over the basics of Hamiltonian mechanics. It is the first video of an upcoming series on a full semester university level Hamiltonian mechanics series. Corrections -4:33 the lagrangian should have a minus sign between the first two terms, not a plus.
From playlist Summer of Math Exposition 2 videos
The spherical pendulum in the Hamiltonian formalism
We continue with the spherical pendulum animation and discuss the difference between the major analytical mechanics approaches. Who won? You decide.
From playlist Programming
Physics 69 Hamiltonian Mechanics (1 of 18) What is Hamiltonian Mechanics?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Hamiltonian mechanics, how are the equations derived, how the Hamiltonian equations will simplified into classical mechanics equations. To donate: http://www.ilectureonline.com/donate
From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS
Hamiltonian Simulation and Universal Quantum (...) - T. Cubitt - Main Conference - CEB T3 2017
Toby Cubitt (UCL) / 14.12.2017 Title: Hamiltonian Simulation and Universal Quantum Hamiltonians Abstract: Physical (or "analogue") Hamiltonian simulation involves engineering a Hamiltonian of interest in the laboratory, and studying its properties experimentally (somewhat analogous to b
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Introduction to Hamilton Paths and Hamilton Circuits
This video introduces Hamilton paths and Hamilton circuits. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Derivation of Hamilton's Equations of Motion | Classical Mechanics
Hamilton’s equations of motion describe how a physical system will evolve over time if you know about the Hamiltonian of this system. 00:00 Introduction 00:12 Prerequisites 01:01 Derivation 01:47 Comparing Coefficients 02:27 Example If you want to read more about the Lagrangian form
From playlist Classical Mechanics
Graph Theory: 27. Hamiltonian Graphs and Problem Set
I define a Hamilton path and a Hamilton cycle in a graph and discuss some of their basic properties. Then I pose three questions for the interested viewer. Solutions are in the next video. An introduction to Graph Theory by Dr. Sarada Herke. Related Videos: http://youtu.be/3xeYcRYccro -
From playlist Graph Theory part-5
Graph Theory: Hamiltonian Graphs
This video is about Hamiltonian graphs and some of their basic properties.
From playlist Basics: Graph Theory
A Proof on Hamiltonian Complete Bipartite Graphs | Graph Theory, Hamiltonian Graphs
Which complete bipartite graphs are Hamiltonian? We'll prove the answer to that question in today's graph theory lesson! A little bit of messing around with complete bipartite graphs might present the answer to you. The complete bipartite graph Kmn (m vertices in one partite set and n ver
From playlist Graph Theory
Hamiltonian Cycles, Graphs, and Paths | Hamilton Cycles, Graph Theory
What are Hamiltonian cycles, graphs, and paths? Also sometimes called Hamilton cycles, Hamilton graphs, and Hamilton paths, we’ll be going over all of these topics in today’s video graph theory lesson! A Hamilton cycle in a graph G is a cycle containing all vertices of G. A Hamilton path
From playlist Graph Theory
Sven Bachmann: A classification of gapped Hamiltonians in d=1
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 SPECIAL 7th European congress of Mathematics Berlin 2016.
Lecture 23 - Cook's Theorem & Harder Reductions
This is Lecture 23 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture25.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
Producing algebraic curves in projective families via Floer theory - Alex Pieloch
We will discuss the existence of rational (multi)sections and unirulings for projective families f:X→CP1 with at most two singular fibres. In particular, we will discuss two ingredients that are used to construct the above algebraic curves. The first is local symplectic cohomology groups a
From playlist Mathematics
CEB T2 2017 - Fraydoun Rezakhanlou - 3/3
Fraydoun Rezakhanlou (Berkeley) - 09/06/2017 The lectures will discuss the following topics: 1. Scalar Conservation Laws and theirs Markovian solutions 2. Conservation laws with stochastic external force 3. Hamilton-Jacobi PDE, Hamiltonian ODEs and Mather Theory 4. Homogenization for
From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester
Symplectic Dynamics of Integrable Hamiltonian Systems - Alvaro Pelayo
Alvaro Pelayo Member, School of Mathematics April 4, 2011 I will start with a review the basic notions of Hamiltonian/symplectic vector field and of Hamiltonian/symplectic group action, and the classical structure theorems of Kostant, Atiyah, Guillemin-Sternberg and Delzant on Hamiltonian
From playlist Mathematics
Non-Equilibrium Steady States of Quantum Non-Hermitian Lattice Models by Aashish Clerk
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
Andreas LÄUCHLI - Numerical Hamiltonian truncation approach to the \phi^4 theory in 1+1d and beyond
https://indico.math.cnrs.fr/event/2435/
From playlist Workshop “Hamiltonian methods in strongly coupled Quantum Field Theory”