'Odd degree' diaporamas de présentation

Topology

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Excursions in Modern Mathematics Sixth Edition

Excursions in Modern Mathematics Sixth Edition. Peter Tannenbaum. Chapter 5 Euler Circuits. The Circuit Comes to Town. Euler Circuits Outline/learning Objectives. To identify and model Euler circuit and Euler path problems. To understand the meaning of basic graph terminology.

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Let us switch to a new topic:

Let us switch to a new topic: . Graphs. Introduction to Graphs. Definition: A simple graph G = (V, E) consists of V, a nonempty set of vertices, and E, a set of unordered pairs of distinct elements of V called edges. For each e?E, e = {u, v} where u, v ? V.

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Section 1.2: Finding Euler Circuits

Math for Liberal Studies. Section 1.2: Finding Euler Circuits. When does a graph have an Euler circuit?. This graph does not have an Euler circuit. This graph does have an Euler circuit. When does a graph have an Euler circuit?.

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Introduction to Graph Theory

Introduction to Graph Theory. Sections 6.1-6.3. Introduction.

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AMDM UNIT 7: N etworks and Graphs

AMDM UNIT 7: N etworks and Graphs. Euler Paths and Circuits. Can You draw this figure without lifting you pencil from the paper?. The original problem.

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Subwavelength Optical Lithography: Challenges and Impact on Physical Design Part II: Problem Formulations and Tool In

Subwavelength Optical Lithography: Challenges and Impact on Physical Design Part II: Problem Formulations and Tool Integration. Andrew B. Kahng, UCLA CS Department ISPD-99 TUTORIAL April 13, 1999. Forcing Trends in EDA. Silicon complexity and design complexity

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Euler Paths and Circuits

Euler Paths and Circuits. The original problem. A resident of Konigsberg wrote to Leonard Euler saying that a popular pastime for couples was to try to cross each of the seven beautiful bridges in the city exactly once -- without crossing any bridge more than once.

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Management Science 461

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CSNB 143 Discrete Mathematical Structures

CSNB 143 Discrete Mathematical Structures. Chapter 11 - Graph. OBJECTIVES. Student should be able to identify graphs and its components. Students should be able to understand all the important things about graphs.

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Eulerian Circuits

Eulerian Circuits. A Warm Up Problem. Jenny & John were at a Math Circles event with three other couples. As people arrived, various handshakes took place. No one shook hands with the person they came with, and no one shook their own hand (of course!)

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Graph Theory to the Rescue

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Eulerizing Graph

Eulerizing Graph. Ch 5. Euler Circuit and Euler path. When a graph has no vertices of odd degree, then it has at least one Euler circuit. When a graph has exactly two vertices of odd degree, then it has at least one Euler path. When a graph has more than two vertices of odd degree, then

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SECTION 3.6

SECTION 3.6. COMPLEX ZEROS; FUNDAMENTAL THEOREM OF ALGEBRA. COMPLEX POLYNOMIAL FUNCTION. A complex polynomial function f of degree n is a complex function of the form f(x) = a n x n + a n-1 x n-1 + . . . + a 1 x + a 0

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Euler Circuit

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7.1 Polynomial Functions

7.1 Polynomial Functions . Objective: Evaluate Polynomials Identify general shapes of graphs of polynomials. Polynomial Function (in one variable). degree of f(x): highest exponent leading coefficient: the coefficient of the term with the highest degree. Examples:.

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Video

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Undirected graphs

Undirected graphs.

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Exam 3 review

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