Spanning tree | Computational problems in graph theory

Spanning tree

In the mathematical field of graph theory, a spanning tree T of an undirected graph G is a subgraph that is a tree which includes all of the vertices of G. In general, a graph may have several spanning trees, but a graph that is not connected will not contain a spanning tree (see about below). If all of the edges of G are also edges of a spanning tree T of G, then G is a tree and is identical to T (that is, a tree has a unique spanning tree and it is itself). (Wikipedia).

Spanning tree
Video thumbnail

Introduction to Spanning Trees

This video introduces spanning trees. mathispower4u.com

From playlist Graph Theory (Discrete Math)

Video thumbnail

An Introduction to Propositional Logic

An introduction to propositions, truth tables, and logical equivalence, and logical operators — including negation, conjunction, disjunction, and implication. *** Spanning Tree is a collection of educational videos covering topics related to computer science and mathematics. https://span

From playlist Spanning Tree's Most Recent

Video thumbnail

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]

Video thumbnail

2.10.5 Spanning Trees: Video

MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015

Video thumbnail

Discrete Math II - 11.4.1 Spanning Trees - Depth-First Search

We continue our study of trees by examining spanning trees. Spanning trees are subgraphs of a graph that contain all vertices of the original graph. The resulting subgraph is a tree, so the graph is connected and contains no cycles. In our first methodology, we will use a depth-first sear

From playlist Discrete Math II/Combinatorics (entire course)

Video thumbnail

A Computer Built With Dominos

By arranging enough dominos into just the right structure, we can build a computer. But how do we arrange dominos in such a way that they can perform computation? Here, we explore the process of building domino logical circuits by carefully arranging dominos into configurations that can co

From playlist Spanning Tree Favorites

Video thumbnail

Graph Theory: Spanning Trees

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

Video thumbnail

What Is the Pigeonhole Principle?

The Pigeonhole Principle is a simple-sounding mathematical idea, but it has a lot of various applications across a wide range of problems. Learning to recognize pigeons and pigeonholes as they appear in different problems can help in discovering possible solutions. 0:00 Pigeonhole Princip

From playlist Spanning Tree's Most Recent

Video thumbnail

Lecture 13 - Minimum Spanning Trees

This is Lecture 13 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/lecture17.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

Video thumbnail

Lecture 14 - Shortest Paths

This is Lecture 14 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 2007. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/2007/lecture13.pdf More informa

From playlist CSE373 - Analysis of Algorithms - 2007 SBU

Video thumbnail

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

Video thumbnail

Stanford Lecture: Donald Knuth - "Finding All Spanning Trees" (2003)

Don Knuth's 10th Annual Christmas Tree Lecture December 16, 2003 Professor Knuth is the Professor Emeritus at Stanford University. Dr. Knuth's classic programming texts include his seminal work The Art of Computer Programming, Volumes 1-3, widely considered to be among the best scientific

From playlist Donald Knuth Lectures

Video thumbnail

Math Explorations Ep31, Minimum spanning trees, Kruskal's algorithm (Apr 26, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

Video thumbnail

CMU Discrete Mathematics 4/9

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

Video thumbnail

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

Video thumbnail

Lecture 15 - Exploiting Graph Algorithms

This is Lecture 15 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 2007. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/2007/lecture14.pdf More informa

From playlist CSE373 - Analysis of Algorithms - 2007 SBU

Video thumbnail

Proof: Every Connected Graph has a Spanning Tree | Graph Theory

Every connected graph has a spanning tree - this means that every connected graph G contains a subgraph H with three properties. H is connected, has no cycles, and has all vertices of G. A connected graph with no cycles is a tree. A subgraph of G with all vertices of G is called a spanning

From playlist Graph Theory

Video thumbnail

Discrete Math II - 11.4.2 Spanning Trees - Breadth First Search

We continue our study of trees by examining spanning trees. Spanning trees are subgraphs of a graph that contain all vertices of the original graph. The resulting subgraph is a tree, so the graph is connected and contains no cycles. In our second methodology, we will use a breadth-first s

From playlist Discrete Math II/Combinatorics (entire course)

Related pages

Spanning Tree Protocol | Xuong tree | Edge contraction | Bond graph | Topological graph theory | Good spanning tree | Hamiltonian path problem | Invariant (mathematics) | Planar graph | Kirchhoff's theorem | Hypercube graph | Zorn's lemma | Graphic matroid | Multigraph | Depth-first search | Link-state routing protocol | Queue (abstract data type) | Laplacian matrix | Flooding algorithm | Cycle space | Minimum spanning tree | Determinant | Pathfinding | Cayley's formula | Genus (mathematics) | Delaunay triangulation | Matroid | Tree (graph theory) | Tutte polynomial | Graph theory | Complete bipartite graph | Cycle graph | Mathematics | Stack (abstract data type) | Vertex (graph theory) | Complete graph | Cycle (graph theory) | Dijkstra's algorithm | Family of sets | Euclidean plane | A* search algorithm | Breadth-first search | Augmented tree-based routing | Cycle basis | Minimum degree spanning tree | Dual matroid | Computational complexity theory | Uniform spanning tree | Graph embedding | Matrix (mathematics) | Trémaux tree | Choice function | Euclidean minimum spanning tree