'Hamilton paths' presentation slideshows

HAMILTON CIRCUITS

DISCRETE MATH UNIT 6. HAMILTON CIRCUITS. The Traveling-Salesman Problem. William Rowan Hamilton. Born August 4, 1805 in Dublin, Ireland Died September 2, 1865 in Dublin, Ireland Made many contributions to the Physics field including advancements in the study of optics and dynamics

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Euler Paths & Circuits Hamilton Paths & Circuits

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Section 14.3 Hamilton Paths, and Hamilton Circuits

Section 14.3 Hamilton Paths, and Hamilton Circuits. What You Will Learn. Hamilton Paths Hamilton Circuits Complete Graphs Traveling Salesman Problems. Hamilton Paths. A Hamilton path is a path that contains each vertex of a graph exactly once. Hamilton Paths.

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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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6 The Mathematics of Touring

6 The Mathematics of Touring. 6.1 Hamilton Paths and Hamilton Circuits 6.2 Complete Graphs? 6.3 Traveling Salesman Problems 6.4 Simple Strategies for Solving TSPs 6.5 The Brute-Force and Nearest-Neighbor Algorithms 6.6 Approximate Algorithms 6.7 The Repetitive Nearest-Neighbor Algorithm

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Section 8.5

Section 8.5. Euler & Hamilton Paths. Euler circuits & paths. An Euler circuit of a graph G is a simple circuit that contains every edge of G An Euler path of graph G is a simple path containing every edge of G. Example 1. There are several Euler circuits in this graph,

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5 . 3 . 2 Hamilton paths

5 . 3 . 2 Hamilton paths. Definition 20: A Hamilton paths is a path that contains each vertex exactly once. A Hamilton circuit is a circuit that contains each vertex exactly once except for the first vertex, which is also the last.

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The History:

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6 The Mathematics of Touring

6 The Mathematics of Touring. 6.1 Hamilton Paths and Hamilton Circuits 6.2 Complete Graphs? 6.3 Traveling Salesman Problems 6.4 Simple Strategies for Solving TSPs 6.5 The Brute-Force and Nearest-Neighbor Algorithms 6.6 Approximate Algorithms 6.7 The Repetitive Nearest-Neighbor Algorithm

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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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