**[tippy title=”Problems 1-5″]Problems 1-5**

There questions are basically definitions and procedures. Read the book and then paraphrase each in your own words.[/tippy]

**[tippy title=”Problems 6-11″]Problems 6-11**

Classify each vertex as even or odd to use Euler’s circuit theorem. If an Euler circuit exists, then start at one of the even vertices to draw the circuit. See Example 3.[/tippy]

**[tippy title=”Problems 12-17″]Problems 12-17**

You can either use trial-and-error or the nearest-neighbor method to find a Hamiltonian cycle. See Example 5.[/tippy]

**[tippy title=”Problems 18-23″]Problems 18-23**

Classify each room as even or odd according to the number of doors in each room, and then use Euler’s circuit theorem. If it is an Euler circuit, then begin in an even room to draw the circuit. See Example 4.[/tippy]

**[tippy title=”Problems 24-27″]Problems 24-27**

Classify each vertex as even or odd and use Euler’s circuit theorem. If there is an Euler circuit, then start an an even vertex and draw the circuit. See Example 3.[/tippy]

**[tippy title=”Problems 28-31″]Problems 28-31**

Either use trial-and-error or the Nearest Neighbor method to find a Hamiltonian cycle. See Example 6.[/tippy]

**[tippy title=”Problem 32″]Problem 32**

See Example 2 and Table 9.1, and then apply Euler’s circuit theorem.[/tippy]

**[tippy title=”Problem 33″]Problem 33**

See Example 5. One possible solution:

1, 6, 7, 8, 9, 10, 11, 12, 13, 19, 18, 17, 16, 20, 15, 14, 5, 4, 3, 2, 1.

Can you find another?[/tippy]

**[tippy title=”Problems 34-40″]Problems 34-40**

See Example 2 and Table 9.1, and then apply Euler’s circuit theorem.[/tippy]

**Note:** Homework Hints are given only for the Level 1 and Level 2 problems.[/h3>

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

On the other hand, the problems designated “Problem Solving” generally require techniques that do not have textbook examples.

There are many sources for homework help on the internet.

**Algebra.help**

Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.

**http://www.algebrahelp.com/**

**Ask Dr. Math**

Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.

**http://mathforum.org/dr.math/**

**Quick Math**

This site provides online graphing calculators. This is especially useful if you do not have your own calculator.

**http://www.quickmath.com/**

**The Math Forum** @ Drexel

This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.

**http://mathforum.org/**