   # Low-Cost Route The table below shows the cost of direct train travel between various cities. Draw a weighted graph that represents the train fares. Use the edge-picking algorithm to find a route that begins in Angora, visits each city, and returns to Angora. What is the total cost of this route? Is it possible to travel along each train route and return to the starting city without traveling any routes more than once? Explain how you know. ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 5, Problem 6T
Textbook Problem
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## Low-Cost Route The table below shows the cost of direct train travel between various cities. Draw a weighted graph that represents the train fares. Use the edge-picking algorithm to find a route that begins in Angora, visits each city, and returns to Angora. What is the total cost of this route? Is it possible to travel along each train route and return to the starting city without traveling any routes more than once? Explain how you know. To determine

(b)

To find:

Total cost of the route and design the route that begins with Angora.

### Explanation of Solution

Given:

The table shows the cost of direct rain travel between various cities.

Calculation:

Use edge picking algorithm to find a route that begins in Angora, visit each city and returns to Angora, That is find a Hamiltonian circuit

Step 1: Mark the edge of smallest weight in the graph (If two or more edge has the same weight, pick an one)

Step 2: Mark the edge of next smallest weight in the graph, as long as it does not complete a circuit and does not add a third marked edge t a single vertex

Step 3: Continue the process until one can no longer mark any edge...

To determine

(c)

To justify:

Possibility to travel along each train route and return to the starting route with traveling any route twice.

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