Topological graph theory | Theorems in graph theory | Combinatorics | Automata (computation) | Graph coloring

Road coloring theorem

In graph theory the road coloring theorem, known previously as the road coloring conjecture, deals with synchronized instructions. The issue involves whether by using such instructions, one can reach or locate an object or destination from any other point within a network (which might be a representation of city streets or a maze). In the real world, this phenomenon would be as if you called a friend to ask for directions to his house, and he gave you a set of directions that worked no matter where you started from. This theorem also has implications in symbolic dynamics. The theorem was first conjectured by Roy Adler and Benjamin Weiss. It was proved by Avraham Trahtman. (Wikipedia).

Road coloring theorem
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Proof: The Angle Bisector Theorem

This video states and proves the angle bisector theorem. Complete Video List: http://www.mathispower4u.yolasite.com

From playlist Relationships with Triangles

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How road markings keep drivers safe

You are in the passenger seat and feeling the wind on your face. Your favorite channel is playing on the radio, random memories fill your mind, and you lose track of time while watching the road lines intertwine with one another on the highway. Even just for this calming experience, we can

From playlist Engineering Wonders

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What is Stokes theorem? - Formula and examples

► My Vectors course: https://www.kristakingmath.com/vectors-course Where Green's theorem is a two-dimensional theorem that relates a line integral to the region it surrounds, Stokes theorem is a three-dimensional version relating a line integral to the surface it surrounds. For that reaso

From playlist Vectors

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What is the Corresponding Angle Converse Theorem

👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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Verifying the Equation of a Tangent Plane to a Surface

This video provides a justification to the equation used to determine the equation of a tangent plane to a surface defined by a function of two variables. http://mathispower4u.wordpress.com/

From playlist Functions of Several Variables - Calculus

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From playlist Parallel Lines and a Transversal Theorems

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離散数学入門#2: グラフの基礎知識(後編),木と最小全域木

早稲田大学の全学部の3〜4年生を対象とする全学オープン科目「離散数学入門」(担当教員:早水 桃子)の授業動画です.文理を問わず,誰でもグラフ理論やグラフアルゴリズムの初歩を学ぶことができます.グラフ理論の定理やグラフに関するアルゴリズムを正しく理解して,現実の諸問題を解決するための応用力を身につけましょう. --------------------------------------------------------------------------------------- 今回(第2回)は「グラフの基礎知識(後編)/木と最小全域木」という二本立ての内容です. 「ク

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From playlist 離散数学入門 〜グラフ理論の世界にようこそ〜

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What is the Alternate Exterior Angle Converse Theorem

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Noether's Theorem and The Symmetries of Reality

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE To learn more about Brilliant, you can go to https://brilliant.org/spacetime/ Conservation laws are among the most important tools in physics. They feel as fundament

From playlist Space Time!

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Dr. Colin D. Wright - From Doodling to a Million Dollars - G4G12 April 2016

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From playlist G4G12 Videos

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From playlist Combinatorics

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MA 15: Euler circuits and paths

This video is for my Spring 2020 section of MA 15, for the class meeting on Friday April 3. Fast forward music is from "Now Get Busy" by the Beastie Boys, licensed Creative Commons Noncommercial Sampling Plus.

From playlist Math 15 Spring 2020

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CMU Discrete Mathematics 5/5

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

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Nevanlinna Prize Lecture: Equilibria and fixed points — Constantinos Daskalakis — ICM2018

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From playlist Special / Prizes Lectures

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Louis Theran: Rigidity of Random Graphs in Higher Dimensions

I will discuss rigidity properties of binomial random graphs G(n,p(n)) in fixed dimension d and some related problems in low-rank matrix completion. The threshold for rigidity is p(n) = Θ(log n / n), which is within a multiplicative constant of optimal. This talk is based on joint work wi

From playlist HIM Lectures 2015

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Congruent Polygons & Third Angle Theorem

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From playlist Geometry

Related pages

Four color theorem | Conjecture | Graph theory | Prime number | Strongly connected component | Vertex (graph theory) | Periodic function | Multiple edges | Synchronizing word | Directed graph | Degree (graph theory) | Aperiodic graph | Theorem | Symbolic dynamics | Graph coloring