# Acyclic orientation

In graph theory, an acyclic orientation of an undirected graph is an assignment of a direction to each edge (an orientation) that does not form any directed cycle and therefore makes it into a directed acyclic graph. Every graph has an acyclic orientation. The chromatic number of any graph equals one more than the length of the longest path in an acyclic orientation chosen to minimize this path length. Acyclic orientations are also related to colorings through the chromatic polynomial, which counts both acyclic orientations and colorings.The planar dual of an acyclic orientation is a totally cyclic orientation, and vice versa. The family of all acyclic orientations can be given the structure of a partial cube by making two orientations adjacent when they differ in the direction of a single edge. Orientations of trees are always acyclic, and give rise to polytrees. Acyclic orientations of complete graphs are called transitive tournaments. The bipolar orientations are a special case of the acyclic orientations in which there is exactly one source and one sink; every transitive tournament is bipolar. (Wikipedia).

Gradient (2 of 3: Angle of inclination)

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From playlist Further Linear Relationships

Introduction to Angles (2 of 2: Definition & Basic Details)

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From playlist Common Core Standards - 8th Grade

Identify the type of angle from a figure acute, right, obtuse, straight ex 1

ðŸ‘‰ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships

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Choosing From A Negative Number Of Things?? #SoME2

Combinatorial Reciprocity Theorems by Mattias Beck and Raman Sanyal: https://page.mi.fu-berlin.de/sanyal/teaching/crt/CRT-Book-Online.pdf An introductory look at negative binomial coefficients, and in general, combinatorial reciprocity. First, we explain how to formally justify binomial

From playlist Summer of Math Exposition 2 videos

How to determine two acute adjacent angles from a figure

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Angle Properties - Circle Geometry (Angles in the same segment)

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How to label the sides of an angle

Learn all about angles. An angle is a figure formed by two rays sharing a common endpoint. An angle can be classified as acute, right, obtuse, straight or refrex. An acute angle is an angle which measures less than 90 degrees. A right angle measures 90 degrees. An obtuse angle measures mor

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Felix Klein Lectures 2020: Quiver moduli and applications, Markus Reineke (Bochum), Lecture 2

Quiver moduli spaces are algebraic varieties encoding the continuous parameters of linear algebra type classification problems. In recent years their topological and geometric properties have been explored, and applications to, among others, Donaldson-Thomas and Gromov-Witten theory have

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TDLS: Learning Functional Causal Models with GANs - part 1 (algorithm review)

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Lecture 20 - Trees and Connectivity

This is Lecture 20 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2020.pdf More information may

From playlist CSE547 - Discrete Mathematics - 1999 SBU

Graph Alg. IV: Intro to geometric algorithms - Lecture 9

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Ximena FernÃ¡ndez 7/20/22: Morse theory for group presentations and the persistent fundamental group

Discrete Morse theory is a combinatorial tool to simplify the structure of a given (regular) CW-complex up to homotopy equivalence, in terms of the critical cells of discrete Morse functions. In this talk, I will present a refinement of this theory that guarantees not only a homotopy equiv

From playlist AATRN 2022

C# Trees and Graphs Explained | Data Structures and Algorithms in C# | C# Tutorial | Simplilearn

ðŸ”¥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=CSharpTreesAndGraphsExplained-IqQ7QpmiBJ0&utm_medium=DescriptionFF&utm_source=youtube ðŸ”¥Caltech Coding Bootcamp (US Only): https://www.

From playlist C# Training ðŸ”¥[2022 Updated]

This week the reading group kicks off a new paper, "Task-Oriented Dialogue as Dataflow Synthesis" (Transactions of the Association for Computational Linguistics, 8, 556-571, 2020) by Jacob Andreas, John Bufe, David Burkett, Charles Chen, Josh Clausman, Jean Crawford, Kate Crim, Jordan DeLo

Chemistry 51B: Organic Chemistry. Lecture 21.

UCI Chem 51B: Organic Chemistry (Winter 2015) Lec 21. Organic Chemistry -- Diels-Alder Reaction View the complete course: http://ocw.uci.edu/courses/chem_51b_organic_chemistry.html Instructor: Susan King, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More

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Irina Gelbukh 2023: The Reeb graph of a smooth function encodes the function class and manifold type

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Determining acute vertical angles

ðŸ‘‰ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships

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