Graph families | Planar graphs | Graph minor theory

Apex graph

In graph theory, a branch of mathematics, an apex graph is a graph that can be made planar by the removal of a single vertex. The deleted vertex is called an apex of the graph. It is an apex, not the apex because an apex graph may have more than one apex; for example, in the minimal nonplanar graphs K5 or K3,3, every vertex is an apex. The apex graphs include graphs that are themselves planar, in which case again every vertex is an apex. The null graph is also counted as an apex graph even though it has no vertex to remove. Apex graphs are closed under the operation of taking minors and play a role in several other aspects of graph minor theory: linkless embedding, Hadwiger's conjecture, YΔY-reducible graphs, and relations between treewidth and graph diameter. (Wikipedia).

Apex graph
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Altitudes, Medians, Midpoints, Angle & Perpendicular Bisectors

This geometry video tutorial provides a basic review on the differences between an altitude, median, perpendicular bisector, angle bisector and a midpoint. In addition, it makes references to lines, rays and line segments. Geometry Playlist: https://www.youtube.com/watch?v=w8wdKOsUD-4&

From playlist Geometry Video Playlist

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Median of a Triangle Formula, Example Problems, Properties, Definition, Geometry, Midpoint & Centroi

This geometry video tutorial provides a basic introduction into the median of a triangle. It provides the formula and equations necessary to calculate segment lengths within the median such as the distance between the vertex and centroid or between the midpoint and centroid. The median i

From playlist Geometry Video Playlist

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How to Find the X-Intercepts and Y-Intercepts Given the Graph of an Equation

In this video we are given the graph of y^2 = 4 - x and we find both the x and y intercepts from the graph. I hope this helps someone who is studying math and learning about the graphs of equations. Basic Mathematics Book: https://amzn.to/3GN97j3 This is my affiliate link. As an Amazon As

From playlist Graphs of Equations

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Dots On A Circle

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From playlist Recreational Math Videos

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Concavity and Inflection Points(HD)

Watch more videos on http://www.brightstorm.com/math/calculus SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https

From playlist Calculus

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Constructing a Triangle Midsegment

Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https

From playlist Geometry

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Hannah Alpert (9/24/20): Combinatorial models of disk configuration spaces

Title: Combinatorial models of disk configuration spaces Abstract: The space of all arrangements of n disjoint disks of radius r in a polygon is hard to get our hands on. In order to approximate its geometric and topological properties, we'd like to replace it by a combinatorial model. Th

From playlist AATRN 2020

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Subsets - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

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Angle and Segment Bisector Constructions

I give you the steps and demonstrations on how to construct a perpendicular bisector of a segment and an angle bisector with a compass and a straight edge. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look f

From playlist Geometry

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How to determine the midpoint between two points on a coordinate axis

👉 Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

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Perpendicular Bisector of a Line Segment and Triangle

This geometry video tutorial provides a basic introduction into the perpendicular bisector of a line segment and a triangle. it discusses the perpendicular bisector theorem and the definition of perpendicular bisectors in addition to how to use them in a geometry two column proof problem

From playlist Geometry Video Playlist

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18. Hearing loss; demo by Sheila Xu, cochlear implant user

MIT 9.04 Sensory Systems, Fall 2013 View the complete course: http://ocw.mit.edu/9-04F13 Instructor: Chris Brown, Sheila Xu This video covers the features and causes of hearing loss as well as cochlear implants and features a discussion with a cochlear implant user. License: Creative Com

From playlist MIT 9.04 Sensory Systems, Fall 2013

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Salesforce Careers - Why Consider A Career In Salesforce | Salesforce Training Video | Simplilearn

This Salesforce Training Video will help you understand about Salesforce , Salesforce market situation, Salesforce job trends, Salesforce career options and how Salesforce is safe career option in this roller coaster market. With Salesforce emerging as the clear winner in the Cloud platfor

From playlist Simplilearn Live

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CCHF-VS 3.4 | Prof. Itami: Creation of New Carbon Materials by C–H Functionalization

Watch Prof. Ken Itami guide us through the C–H Functionalization techniques that are being developed to stitch together novel carbon materials

From playlist CCHF Virtual Symposia

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Rico Zenklusen: Approximation algorithms for hard augmentation problems, lecture III

Augmentation Problems are a fundamental class of Network Design Problems. In short, the goal is to find a cheapest way to increase the (edge-)connectivity of a graph by adding edges from a given set of options. The Minimum Spanning Tree Problem is one of its most elementary examples, which

From playlist Summer School on modern directions in discrete optimization

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Rasa Livecoding: The Most Important Words in an Intent’s Training Data

We're taking a quick break from bot building to play around with word frequencies. Learn more about Rasa: https://rasa.com​ Rasa documentation: http://rasa.com/docs​ Join the Rasa Community: https://forum.rasa.com​ Twitter: https://twitter.com/Rasa_HQ​ Facebook: https://www.facebook.com/R

From playlist Live Coding

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Projectile Graphs

This instructional video covers Projectile Motion and corresponds to Section 3.4 in OpenStax College Physics for AP® Courses. Full course content for the AP® Physics Collection on openstax.org and is available as a self-guided course by Rice Online Learning on EdX.org: OpenStax AP Physic

From playlist Chapter 3: Two-Dimensional Kinematics

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15. Hair cells

MIT 9.04 Sensory Systems, Fall 2013 View the complete course: http://ocw.mit.edu/9-04F13 Instructor: Chris Brown This video describes the anatomy of the cochlea, inner and outer hair cells as well as OHC electromotility and otoacoustic emissions. License: Creative Commons BY-NC-SA More i

From playlist MIT 9.04 Sensory Systems, Fall 2013

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Locus and Definition of a Circle and Sphere

Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https

From playlist Geometry

Related pages

K-vertex-connected graph | Graph (discrete mathematics) | Travelling salesman problem | Closure (mathematics) | Planar graph | Bidimensionality | Möbius strip | Hypercube graph | Polyhedral graph | Linkless embedding | Null graph | Combinatorica | Polynomial-time approximation scheme | Outerplanar graph | Complement graph | Graph structure theorem | Degree (graph theory) | Genus (mathematics) | Triangle-free graph | Möbius ladder | Graph theory | Graph minor | Rhombic dodecahedron | SPQR tree | Vertex (graph theory) | Complete graph | Cube | Hadwiger conjecture (graph theory) | Distance (graph theory) | Forbidden graph characterization | Graph coloring | Pathwidth | Petersen family | Four color theorem | Treewidth | Journal of Combinatorial Theory | Y-Δ transform | Projective plane | Wheel graph | Robertson–Seymour theorem