Directed graphs | Signal processing | Application-specific graphs
A flow graph is a form of digraph associated with a set of linear algebraic or differential equations: "A signal flow graph is a network of nodes (or points) interconnected by directed branches, representing a set of linear algebraic equations. The nodes in a flow graph are used to represent the variables, or parameters, and the connecting branches represent the coefficients relating these variables to one another. The flow graph is associated with a number of simple rules which enable every possible solution [related to the equations] to be obtained." Although this definition uses the terms "signal-flow graph" and "flow graph" interchangeably, the term "signal-flow graph" is most often used to designate the Mason signal-flow graph, Mason being the originator of this terminology in his work on electrical networks. Likewise, some authors use the term "flow graph" to refer strictly to the Coates flow graph. According to Henley & Williams: "The nomenclature is far from standardized, and...no standardization can be expected in the foreseeable future." A designation "flow graph" that includes both the Mason graph and the Coates graph, and a variety of other forms of such graphs appears useful, and agrees with Abrahams and Coverley's and with Henley and Williams' approach. A directed network – also known as a flow network – is a particular type of flow graph. A network is a graph with real numbers associated with each of its edges, and if the graph is a digraph, the result is a directed network. A flow graph is more general than a directed network, in that the edges may be associated with gains, branch gains or transmittances, or even functions of the Laplace operator s, in which case they are called transfer functions. There is a close relationship between graphs and matrices and between digraphs and matrices. "The algebraic theory of matrices can be brought to bear on graph theory to obtain results elegantly", and conversely, graph-theoretic approaches based upon flow graphs are used for the solution of linear algebraic equations. (Wikipedia).
What is a Path Graph? | Graph Theory
What is a path graph? We have previously discussed paths as being ways of moving through graphs without repeating vertices or edges, but today we can also talk about paths as being graphs themselves, and that is the topic of today's math lesson! A path graph is a graph whose vertices can
From playlist Graph Theory
Graph Data Structure 1. Terminology and Representation (algorithms)
This is the first in a series of videos about the graph data structure. It mentions the applications of graphs, defines various terminology associated with graphs, and describes how a graph can be represented programmatically by means of adjacency lists or an adjacency matrix.
From playlist Data Structures
Graphing Equations By Plotting Points - Part 1
This video shows how to graph equations by plotting points. Part 1 of 2 http://www.mathispower4u.yolasite.com
From playlist Graphing Various Functions
Graph Theory FAQs: 01. More General Graph Definition
In video 02: Definition of a Graph, we defined a (simple) graph as a set of vertices together with a set of edges where the edges are 2-subsets of the vertex set. Notice that this definition does not allow for multiple edges or loops. In general on this channel, we have been discussing o
From playlist Graph Theory FAQs
A formal definition of a Graph and its properties
From playlist Graph Theory
Graph Theory: 02. Definition of a Graph
In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio
From playlist Graph Theory part-1
Section 4b: Graph Connectivity
From playlist Graph Theory
Mathematical theories start with axioms, but penultimate to that is the definition. When we go to learn, what's the best definition to commit to memory? Here we talk about Graph Theory and I give you 3 definitions to choose from. Which would you use?
From playlist Summer of Math Exposition 2 videos
3 Minute Thesis Competition 2021
Postgraduate Students are the future of mathematics. So what are Oxford Mathematics Postgraduates working on? The Oxford University Society for Industrial and Applied Mathematics Student Chapter (SIAM-IMA) 3 Minute Thesis Competition does what it says on the tin: 3 minutes for our postgra
From playlist Oxford Mathematics Research Seminars
The Definition of a Graph (Graph Theory)
The Definition of a Graph (Graph Theory) mathispower4u.com
From playlist Graph Theory (Discrete Math)
[Discrete Mathematics] Minimal Cuts
We introduce minimal cuts and learn (roughly) how to find them. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: ht
From playlist Discrete Math 2
[Discrete Mathematics] Flow Networks and the Edmonds Karp Algorithm
We introduce the concept of Transport Networks and talk about Maximum flows. We use the Edmonds-Karp algorithm to find maximum flows. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playl
From playlist Discrete Math 2
The Abel lectures: László Lovász and Avi Wigderson
0:30 Introduction by the Abel Prize Committee Chair, Hans Munthe-Kaas 02:42 László Lovász: Continuous limits of finite structures 49:27 Questions and answers 1:00:31 Avi Wigderson: The Value of Errors in Proofs 1:41:24 Questions and answers 1:50:20 Final remarks by John Grue, Chair of the
From playlist Abel Lectures
Message Passing for graphs - explained w/ example
Message Passing: How to encode the complete information of a (non-euclidean) Graph into a low-dimensional embedding? With the aim of training GNN for more intelligent answers. The solution: Message Passing algorithms. Here I explain their foundation (step-by-step) and use predefined pyth
From playlist Learn Graph Neural Networks: code, examples and theory
How connected are you? An introduction to graph theory and network science by Hugo Touchette
KAAPI WITH KURIOSITY by Hugo Touchette DATE: 4pm to 6pm Sunday, 17 September 2017 WHERE: Jawaharlal Nehru Planetarium, Bengaluru Networks and graphs are all around us, even if we don't notice much: the roads, the electricity grid, the airline routes, the taxis in Bengaluru, even your gr
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
Creating and Deploying CDF Documents to Teach Undergraduate Graph Theory
Matthew Fairtlough To learn more about the Wolfram Technologies, visit http://www.wolfram.com The European Wolfram Technology Conference featured both introductory and expert sessions on all major technologies and many applications made possible with Wolfram technology. Learn to achieve
From playlist European Wolfram Technology Conference 2015
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang A graph has nodes connected by edges (other edges can be missing). This is a useful model for the Inte
From playlist MIT Learn Differential Equations
Conformality, Curl, Curl's Counterpart, Cauchy-Riemann 'quations
Presenting: Problems Per Providing 'Perfect Pizza Proportions' 0:00 Problem formulation 3:18 1D divergence 9:26 2D divergence 10:46 Curl 14:59 Problem *re*formulation 16:53 Using div & curl 19:40 Conclusion 20:58 Afterword
From playlist Summer of Math Exposition Youtube Videos
PIC Math - Building a Better Filter - Segment II
Prof. Louis Rossi of the Department of Mathematical Sciences of the University of Delaware presents two introductory mathematical models that one can use to understand and characterize filters and the filtration processes.
From playlist PIC Math 2015 - Industrial Math Case Studies
How to graph a quadratic in vertex form
👉 Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a quadratic is a parabola which has an axis of symmetr
From playlist Graph a Quadratic in Standard Form | Essentials