Computational problems in graph theory | Hamiltonian paths and cycles | NP-complete problems
In the mathematical field of graph theory the Hamiltonian path problem and the Hamiltonian cycle problem are problems of determining whether a Hamiltonian path (a path in an undirected or directed graph that visits each vertex exactly once) or a Hamiltonian cycle exists in a given graph (whether directed or undirected). Both problems are NP-complete. The Hamiltonian cycle problem is a special case of the travelling salesman problem, obtained by setting the distance between two cities to one if they are adjacent and two otherwise, and verifying that the total distance travelled is equal to n (if so, the route is a Hamiltonian circuit; if there is no Hamiltonian circuit then the shortest route will be longer). (Wikipedia).
Introduction to Hamilton Paths and Hamilton Circuits
This video introduces Hamilton paths and Hamilton circuits. mathispower4u.com
From playlist Graph Theory (Discrete Math)
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
Section 6b- Euler & Hamiltonian Paths
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
Graph Theory: 28. Hamiltonian Graph Problems
Here I give solutions to these three problems posed in the previous video: 1. Show that the complete bipartite graph with partite sets of size n and m is Hamiltonian if and only if n and m are equal and greater than or equal to 2. 2. Find a connected graph that has no Hamilton path. 3. Can
From playlist Graph Theory part-6
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Hamilton Path Application: Home Tour Visiting Each Room Once
This video provides an application involving an Hamilton path. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Graph Theory: Hamiltonian Circuits and Paths
This lesson explains Hamiltonian circuits and paths. Site: http://mathispower4u.com
From playlist Graph Theory
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
14. P and NP, SAT, Poly-Time Reducibility
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Defined NTIME(t(n)) complexity classes
From playlist MIT 18.404J Theory of Computation, Fall 2020
Due to the COVID-19 pandemic, Carnegie Mellon University is protecting the health and safety of its community by holding all large classes online. People from outside Carnegie Mellon University are welcome to tune in to see how the class is taught, but unfortunately Prof. Loh will not be o
From playlist CMU 21-228 Discrete Mathematics
Learning Optimal Control with Stochastic Models of Hamiltonian Dynamics for Shape & Function Optim.
Speaker: Chandrajit Bajaj (7/25/22) Abstract: Shape and Function Optimization can be achieved through Optimal Control over infinite-dimensional search space. All optimal control problems can be solved by first applying the Pontryagin maximum principle, and then computing a solution to the
From playlist Applied Geometry for Data Sciences 2022
AQC 2016 - Coupled Quantum Fluctuations and Quantum Annealing
A Google TechTalk, June 29, 2016, presented by Layla Hormozi (MIT) ABSTRACT: We study the relative effectiveness of stoquastic and non-stoquastic Hamiltonians consisting of coupled quantum fluctuations compared to Hamiltonians with single spin flips in the performance of quantum annealing.
From playlist Adiabatic Quantum Computing Conference 2016
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.
早稲田大学の全学部の3〜4年生を対象とする全学オープン科目「離散数学入門」(担当教員:早水 桃子)の授業動画です.文理を問わず,誰でもグラフ理論やグラフアルゴリズムの初歩を学ぶことができます.グラフ理論の定理やグラフに関するアルゴリズムを正しく理解して,現実の諸問題を解決するための応用力を身につけましょう. --------------------------------------------------------------------------------------- 前回は「辺に対する周遊性」ということで,オイラーグラフと郵便配達員問題の話をしましたが,今回は
From playlist 離散数学入門Ⅲ
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