Spanning tree | NP-complete problems
In computer science, the minimum routing cost spanning tree of a weighted graph is a spanning tree minimizing the sum of pairwise distances between vertices in the tree. It is also called the optimum distance spanning tree, shortest total path length spanning tree, minimum total distance spanning tree, or minimum average distance spanning tree. In an unweighted graph, this is the spanning tree of minimum Wiener index. writes that the problem of constructing these trees was proposed by Francesco Maffioli. It is NP-hard to construct it, even for unweighted graphs. However, it has a polynomial-time approximation scheme. The approximation works by choosing a number that depends on the approximation ratio but not on the number of vertices of the input graph, and by searching among all trees with internal nodes. The minimum routing cost spanning tree of an unweighted interval graph can be constructed in linear time. A polynomial time algorithm is also known for distance-hereditary graphs, weighted so that the weighted distances are hereditary. (Wikipedia).
This lesson introduces spanning trees and lead to the idea of finding the minimum cost spanning tree. Site: http://mathispower4u.com
From playlist Graph Theory
From playlist M. Graph Theory
Minimum Spanning Tree In Data Structure | What Is Spanning Tree? | Data Structures|Simplilearn
This video is based on minimum Spanning Trees in Data structures. This Spanning Tree Tutorial will acquaint you with the fundamentals of spanning trees and their importance. It also covers the methodology to generate spanning trees from a given graph. The topics covered in this video are:
From playlist Data Structures & Algorithms [2022 Updated]
Graph Theory: Kruskal's Algorithm
This lesson explains how to apply Kruskal's algorithm to find the minimum cost spanning tree. Site: http://mathispower4u.com
From playlist Graph Theory
Prim's Algorithm for Minimum Spanning Trees (MST) | Graph Theory
We go over Prim's Algorithm, and how it works to find minimum spanning trees (also called minimum weight spanning trees or minimum cost spanning trees). We'll also see two examples of using Prim's algorithm to find minimum spanning trees in connected weighted graphs. This algorithm is on
From playlist Graph Theory
Prim's Minimum Spanning Tree Algorithm | Graph Theory
Prim's Minimum Spanning Tree Algorithm Support me by purchasing the full graph theory course on Udemy which includes additional problems, exercises and quizzes not available on YouTube: https://www.udemy.com/course/graph-theory-algorithms Algorithms repository: https://github.com/william
From playlist Graph Theory Playlist
AQA Decision 1 4.01a Introducing Minimum Spanning Trees and Kruskal's Algorithm
I introduce the concept of finding a minimum spanning tree for a network by working through an example of Kruskal's Algorithm.
From playlist [OLD SPEC] TEACHING AQA DECISION 1 (D1)
Kruskal's Algorithm for Minimum Spanning Trees (MST) | Graph Theory
We go over Kruskal's Algorithm, and how it works to find minimum spanning trees (also called minimum weight spanning trees or minimum cost spanning trees). We'll also see two examples of using Kruskal's algorithm to find minimum spanning trees in connected weighted graphs. This algorithm
From playlist Graph Theory
Discrete Math II - 11.5.1 Minimum Spanning Trees: Prim's Algorithm
A minimum spanning tree finds a spanning tree with a minimum weight. Weights can represent cost of construction, travel time, etc., so finding the least time or cost is of importance to us. In our first algorithm, we explore Prim's Algorithm. In Prim's Algorithm, we search for the least
From playlist Discrete Math II/Combinatorics (entire course)
riding every amusement park ride in the shortest possible time
#SoME2 #maths #computerscience Have you ever wanted to optimize your route through an amusement park so that you hit every single ride in the shortest time possible? In this video we go over a famous problem in optimization in mathematics and computer science, the Traveling Salesman Pro
From playlist Summer of Math Exposition 2 videos
The Traveling Salesman Problem: When Good Enough Beats Perfect
Use the code "reducible" to get CuriosityStream for less than $15 a year! https://curiositystream.com/reducible The Traveling Salesman Problem (TSP) is one of the most notorious problems in all of computer science. In this video, we dive into why the problem presents such a challenge for
From playlist Graph Theory
This is Lecture 15 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www3.cs.stonybrook.edu/~skiena/] at Stony Brook University in 2016. The lecture slides are available at: https://www.cs.stonybrook.edu/~skiena/373/newlectures/lecture14.pdf More inf
From playlist CSE373 - Analysis of Algorithms 2016 SBU
R9. Approximation Algorithms: Traveling Salesman Problem
MIT 6.046J Design and Analysis of Algorithms, Spring 2015 View the complete course: http://ocw.mit.edu/6-046JS15 Instructor: Amartya Shankha Biswas In this recitation, problems related to approximation algorithms are discussed, namely the traveling salesman problem. License: Creative Com
From playlist MIT 6.046J Design and Analysis of Algorithms, Spring 2015
Software Development Course Day - 2 | Data Structures & Algorithms | Software Developer |Simplilearn
🔥Explore our FREE Courses with Completion Certificates: https://www.simplilearn.com/skillup-free-online-courses?utm_campaign=SoftDevCourseOct12&utm_medium=DescriptionFirstFold&utm_source=youtube This software development course is a series of live sessions where we will understand in-depth
From playlist Simplilearn Live
3b1b SoME 1 Submission: Pencil and Papers Dijkstra's
This is my submission for Grant's "3b1b's Summer of Math Exposition" contest, in which I present the way of teaching Dijkstra's my community college professor uses. The PDF shown in the video can be found here: https://drive.google.com/file/d/1RSM5AOtz0FDdgbf8Kp_KIZCfqsHfbTmj/view?usp=s
From playlist Summer of Math Exposition Youtube Videos
Lecture 14 - Minimum Spanning Trees II
This is Lecture 14 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www3.cs.stonybrook.edu/~skiena/] at Stony Brook University in 2016. The lecture slides are available at: https://www.cs.stonybrook.edu/~skiena/373/newlectures/lecture13.pdf More inf
From playlist CSE373 - Analysis of Algorithms 2016 SBU
Graph theory full course for Beginners
In mathematics, graph #theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A #graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called links or lines). A distinction i
From playlist Graph Theory
CSE 373 -- Lecture 14, Fall 2020
From playlist CSE 373 -- Fall 2020
Kruskal's Algorithm (Decision Maths 1)
Powered by https://www.numerise.com/ Kruskal's Algorithm for finding the minimum spanning tree of a network www.hegartymaths.com http://www.hegartymaths.com/
From playlist Decision Maths 1 OCR Exam Board (A-Level tutorials)
Graph Algorithms II - DFS, BFS, Kruskal's Algorithm, Union Find Data Structure - Lecture 7
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2.0/ Tutorials by Instructor: Shai Simonson. http://www.stonehill.edu/compsci/shai.htm Visit the forum at: http://www.coderisland.c
From playlist ArsDigita Algorithms by Shai Simonson