Graph theory objects | Conjectures
In graph theory, a graceful labeling of a graph with m edges is a labeling of its vertices with some subset of the integers from 0 to m inclusive, such that no two vertices share a label, and each edge is uniquely identified by the absolute difference between its endpoints, such that this magnitude lies between 1 and m inclusive. A graph which admits a graceful labeling is called a graceful graph. The name "graceful labeling" is due to Solomon W. Golomb; this type of labeling was originally given the name β-labeling by Alexander Rosa in a 1967 paper on graph labelings. A major conjecture in graph theory is the graceful tree conjecture or Ringel–Kotzig conjecture, named after Gerhard Ringel and Anton Kotzig, and sometimes abbreviated GTC. It hypothesizes that all trees are graceful. It is still an open conjecture, although a related but weaker conjecture known as "Ringel's conjecture" was partially proven in 2020. Kotzig once called the effort to prove the conjecture a "disease". Another weaker version of graceful labelling is near-graceful labeling, in which the vertices can be labeled using some subset of the integers on [0, m + 1] such that no two vertices share a label, and each edge is uniquely identified by the absolute difference between its endpoints (this magnitude lies on [1, m + 1]). Another conjecture in graph theory is Rosa's Conjecture, named after Alexander Rosa, which says that all triangular cacti are graceful or nearly-graceful. A graceful graph with edges 0 to m is conjectured to have no fewer than vertices, due to sparse ruler results. This conjecture has been verified for all graphs with 213 or fewer edges. (Wikipedia).
How was it Made? Jacquard weaving
From playlist Engineering
These animations were created using Silk: www.weavesilk.com
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#Mandala MANDALA LOVERS ALERT- Mandala (Sanskrit: मण्डल, lit, circle) is a spiritual and ritual symbol in Indian religions, representing the universe-check out more videos about mandala below-. * check out my Blog Post for details on Mandala supplies- https://www.theartgeekblog.com/post/mu
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~Visit www.EdwardChing.artistwebsites.com to see artwork, shop, ... This video is instructional on how to make quill pens. You'll see step by step: how to convert a feather into an iconic drawing tool. There's also info on actually drawing with a quill and using inks of different colors.
From playlist Quill Pen
A quick animation of the Dee Zee Manufacturing logo being created. I created this with Cinema 4D and Adobe After Effects.
From playlist Motion Design Portfolio
The Graceful Tree Conjecture | Famous Math Problems 4 | NJ Wildberger
The Graceful Tree Conjecture, or Ringel-Kotzig conjecture, concerns certain labellings of the vertices of a graph G introduced by A. Rosa in 1967. We introduce some basic terminology of graph theory, give examples of graceful and non-graceful graphs, and discuss evidence for the conjecture
From playlist Famous Math Problems
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worked tutorial showing you how to create multipanel plots in QTGrace.
From playlist Software tutorials
Creating a Deep Learning Model for an Image Dataset
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For more information about the 3d software Blender please visit www.blender.org. www.kaikostack.com
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From playlist Introduction to Materials Science and Engineering Fall 2018
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In this video, you’ll learn how to broaden your definition of design through critical thinking, in order to see it in the world around you! Visit https://www.gcflearnfree.org/ to learn even more. We hope you enjoy!
From playlist Graphic Design
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From playlist Software tutorials
In a sparse ruler, such as {0, 1, 6, 9, 11, 13}, all the distances can still be measured even though many marks are missing. The speaker has proven, by construction, that sparse rulers of any length L can be constructed with no more than round (sqrt(3 L + 9/4)) + 1 marks. In addition, on a
From playlist Wolfram Technology Conference 2021
David Woods (Ohio State University) Interview - Velocity NY 2014
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From playlist Velocity Conference 2014 (New York, NY)