'Euler circuit' presentation slideshows

Hierarchical clustering & Graph theory

Hierarchical clustering & Graph theory. Single-link, coloring example. Introduction. What is clustering? Most important unsupervised learning problem Find structure in a collection of unlabeled data The process of organizing objects into groups whose members are similar in some way.

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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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Graph Theory Chapter 4 sec. 1

Graph Theory Chapter 4 sec. 1. Koenigsberg bridge problem. It is the Pregel River divided Koenigsberg into four distinct sections. Seven bridges connected the four portions of Koenigsberg. .

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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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Graphs and 2-Way Bounding

Graphs and 2-Way Bounding. http://en.wikipedia.org/wiki/File:7_bridgesID.png. Discrete Structures (CS 173) Madhusudan Parthasarathy, University of Illinois. Last Lecture: Graphs. How to represent graphs? What are the properties of a graph? Degrees, special types

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5 The Mathematics of Getting Around

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Discrete Mathematics

Discrete Mathematics. EXERCISES. Lecture 11. Dr.-Ing. Erwin Sitompul. http://zitompul.wordpress.com. Homework 10, No.1. Take a look at the graphs ( a), (b), and (c ). Determine whether each graph is an Eulerian graph, semi-Eulerian graph, Hamiltonian graph, or semi-Hamiltonian graph.

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Graph Theory

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Ch. 15: Graph Theory Some practical uses

Ch. 15: Graph Theory Some practical uses. Degree of separation- Hollywood, acquaintance, collaboration Travel between cities Konigsberg bridge Shortest path Least cost Schedule exams, assign channels, rooms Number of colors on a map Highway inspecting, snow removal, street sweeping

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Take a Tour with Euler

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Take a Tour with Euler

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02/28/13

Induction. 02/28/13. http://www.picshag.com/recursive-painting.html. Discrete Structures (CS 173) Derek Hoiem, University of Illinois. Midterms. Grades available Returned in discussion sections Averages Mean: 87 Median: 92. Last lecture: graphs and 2-way bounds.

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Euler Circuit

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Graph Theory: Euler Circuits

Graph Theory: Euler Circuits. Christina Mende Math 480 April 15, 2013. Preliminaries. a. V= {a,b,c,d}. E ={{a,b},{a,c},{b,c},{c,d}}. d. b. c. A graph is a pair G=(V,E) of sets satisfying The elements of V are the vertices of our graph.

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Euler and Hamilton Paths

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Chapter 5: The Mathematics of Getting Around

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Discrete math

Discrete math. Objectives: To learn vocabulary, vertex/edge patterns in discrete math. . Vertex Edge Graph - A collection of points some of which are joined by line segments or curves. This graph has 6 vertices and 7 edges Each point is a vertex and each line is an edge . Degrees of a vertex.

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Euler and Hamilton's

Euler and Hamilton's. Paths and circuits. Euler Paths. An Euler path is when a trail on a graph visits each edge exactly once. An Euler path must have an odd amount of degrees, and if the Euler is connected and has an even amount then it has at least one Euler circuit.

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Module 5 – Networks and Decision Mathematics

Module 5 – Networks and Decision Mathematics. Chapter 23 – Undirected Graphs. 23.4 Euler and Hamilton Paths. A path can be considered as a sequence of edges of the form AB, BG, GE, EC, CD, DE, EG, GF for the graph below: Insert graph

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