Topological graph theory | Theorems in graph theory | Combinatorics | Automata (computation) | Graph coloring
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).
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
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
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
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
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
Geometry - What are the Angle Theorems for Parallel Lines and a Transversal
👉 Learn about parallel lines and a transversal theorems. 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 in both lines
From playlist Parallel Lines and a Transversal Theorems
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
From playlist 離散数学入門 〜グラフ理論の世界にようこそ〜
離散数学入門#4: 向き付けとDFS(深さ優先探索)アルゴリズム
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. --------------------------------------------------------------------------------------- 前回は「幅優先」探索アルゴリズムの解説をしましたが,今回は「深さ優先」探索アルゴリズムという別
From playlist 離散数学入門 〜グラフ理論の世界にようこそ〜
What is the Alternate Exterior 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
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!
Dr. Colin D. Wright - From Doodling to a Million Dollars - G4G12 April 2016
Starting with an old (and simple) problem of drawing a diagram in a single pen stroke, we look at a variation, and unexpected connection, and finally find ourselves asking a question for which there is a bounty of a million dollars. From play to deep mathematics in a few short steps.
From playlist G4G12 Videos
Consecutive Angles Theorem with Parallel Lines
👉 Learn about parallel lines and a transversal theorems. 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 in both lines
From playlist Parallel Lines and a Transversal Theorems
Gary Gordon and Liz McMahon: Generalizations of Crapo's Beta Invariant
Abstract: Crapo's beta invariant was defined by Henry Crapo in the 1960s. For a matroid M, the invariant β(M) is the non-negative integer that is the coefficient of the x term of the Tutte polynomial. Crapo proved that β(M) is greater than 0 if and only if M is connected and M is not a loo
From playlist Combinatorics
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
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
Nevanlinna Prize Lecture: Equilibria and fixed points — Constantinos Daskalakis — ICM2018
Equilibria, fixed points, and computational complexity Constantinos Daskalakis Abstract: The concept of equilibrium, in its various forms, has played a central role in the development of Game Theory and Economics. The mathematical properties and computational complexity of equilibria are
From playlist Special / Prizes Lectures
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
Congruent Polygons & Third Angle Theorem
I define congruent polygons and prove the Third Angle Theorem. EXAMPLES AT 4:28 10:40 16:24 22:25 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 for the "Tip the Teacher" button on my channel's homepage
From playlist Geometry