The Heart of Mathematics: An Invitation to Effective Thinking

4th Edition

ISBN: 9781118156599

Author: Edward B. Burger, Michael Starbird

Publisher: Wiley, John & Sons, Incorporated

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Chapter 6.4, Problem 7MS

Degrees of you. Find ten willing friends or dorm-mates. Draw a graph in which each of you is a vertex, with an edge between any two people who are in a class together. Note the vertices that are distance one away from you (people with whom you share a class). Note the vertices that are distance two away from you (people you don’t have a class with, but who you have a classmate in common with). Are there any vertices left? Are there any vertices you can’t reach using a path of edges in the graph?

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Chapter 6.4, Problem 6MS

Chapter 6.4, Problem 8MS

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Chapter 6 Solutions

The Heart of Mathematics: An Invitation to Effective Thinking

Ch. 6.1 - Map maker, map maker make me a graph. Represent...Ch. 6.1 - Unabridged list. Represent cach landmass from...Ch. 6.1 - Will the walk work? Does your graph from...Ch. 6.1 - Walk around the house. Is it possibel to traverse...Ch. 6.1 - Walk the line. Does this graph above have an Euler...Ch. 6.1 - Walkabout. Does this graph have an Euler circuit?...Ch. 6.1 - Linking the loops. In this map, the following...Ch. 6.1 - Scenic drive. (S) Here is a map of Rockystone...Ch. 6.1 - Under-edged. (H) Does this graph have an Euler...Ch. 6.1 - No man is an island. The country of Pelago...

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