In graph theory, a line perfect graph is a graph whose line graph is a perfect graph. Equivalently, these are the graphs in which every odd-length simple cycle is a triangle. A graph is line perfect if and only if each of its biconnected components is a bipartite graph, the complete graph K4, or a triangular book K1,1,n. Because these three types of biconnected component are all perfect graphs themselves, every line perfect graph is itself perfect. By similar reasoning, every line perfect graph is a parity graph, a Meyniel graph, and a perfectly orderable graph. Line perfect graphs generalize the bipartite graphs, and share with them the properties that the maximum matching and minimum vertex cover have the same size, and that the chromatic index equals the maximum degree. (Wikipedia).
Straight line graphs (parallel)
Powered by https://www.numerise.com/ Straight line graphs (parallel)
From playlist Linear sequences & straight lines
Graph Theory: 57. Planar Graphs
A planar graph is a graph that can be drawn in the plane without any edge crossings. Such a drawing (with no edge crossings) is called a plane graph. A given plane graph divides the plane into regions and each region has a boundary that outlines it. We look at some examples and also giv
From playlist Graph Theory part-10
Powered by https://www.numerise.com/ Straight line graphs 8
From playlist Linear sequences & straight lines
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
Straight line graphs (alternative way to define)
Powered by https://www.numerise.com/ Straight line graphs (alternative way to define)
From playlist Linear sequences & straight lines
Breakdown of the basic components of graphs in graph theory
From playlist Graph Theory
Graph Theory: 59. Maximal Planar Graphs
In this video we define a maximal planar graph and prove that if a maximal planar graph has n vertices and m edges then m = 3n-6. We use this to show that any planar graph with n vertices has at most 3n-6 edges. -- Bits of Graph Theory by Dr. Sarada Herke. Related videos: GT57 Planar G
From playlist Graph Theory part-10
What are Connected Graphs? | Graph Theory
What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr
From playlist Graph Theory
Powered by https://www.numerise.com/ Straight line graphs 5
From playlist Linear sequences & straight lines
Marcin Sabok: Perfect matchings in hyperfinite graphings
Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 16, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Au
From playlist Probability and Statistics
IB Chemistry Topic 11.2 Graphs
IB Chemistry Topic 11.2 Graphs How to do graphs to the IB Chemistry requirements Full set of resources for topic 11/21: http://www.mrwengibchemistry.com 0:26 Describing graphs 0:50 Determining gradient 1:14 The Perfect graph - line of best fit 1:48 The Perfect graph - error bars 2:21 The
From playlist Topic 11/21 Measurement and data processing
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
Dimers, networks, and integrable systems - Anton Izosimov
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Dimers, networks, and integrable systems Speaker: Anton Izosimov Affiliation: The University of Arizona Date: March 18, 2022 I will review two combinatorial constructions of integrable systems: Goncharov-Keny
From playlist Mathematics
Members’ Colloquium Topic: Thresholds Speaker: Jinyoung Park Affiliation: Stanford University Date: May 16, 2022 Thresholds for increasing properties of random structures are a central concern in probabilistic combinatorics and related areas. In 2006, Kahn and Kalai conjectured that for
From playlist Mathematics
R - Two Way Between Subjects ANOVA Lecture 2
Lecture materials and assignment available at statisticsofdoom.com. https://statisticsofdoom.com/page/graduate-statistics/ Used in the following courses: Graduate Statistics
From playlist Learn R + Statistics
Hypergraph matchings and designs – Peter Keevash – ICM2018
Combinatorics Invited Lecture 13.10 Hypergraph matchings and designs Peter Keevash Abstract: We survey some aspects of the perfect matching problem in hypergraphs, with particular emphasis on structural characterisation of the existence problem in dense hypergraphs and the existence of d
From playlist Combinatorics
Learn to test a set of data for normality using Minitab 17.
From playlist Minitab 17 Instructional Videos
Piecewise Functions | Functions | Pre-Calculus
Learn how to graph piecewise functions as well as determine the domain and label the discontinuities. I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applicati
From playlist Pc - In the classroom
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
Graphing a vertical parabola by putting into vertex form
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can identify the vertex, focus and directrix of the pa
From playlist Graph Horizontal Parabola (General Form) #Conics