Graphs as mathematical models by Gary Chartrand, Prindle, Weber & Schmidt, Inc. Boston, Massachusetts 1977, $15.50, 294 pages

In recent years, an enormous number of books have been written on graph theory. This is not altogether bad since graph theory has been applied to such diverse fields as operations research, psychology, economics, sociology, genetics, and environmental studies, and each new book seems to aim at a slightly different audience. This book provides an opportunity for the undergraduate nonmathematician to have some fun with mathematics while being introduced to a wide variety of applications. The book can easily be covered in a onesemester course and is written at approximately the same level as Wilson 161. For the more mathematical undergraduate, I would recommend something like Busacker and Saaty 131 or Bondy and Murty 121. The book contains ten chapters: 1. Mathematical Models; 2. Elementary Concepts of Graph Theory; 3. Transportation Problems; 4. Connection Problems; 5. Party Problems; 6. Games and Puzzles; 7. Digraphs and Mathematical Models; 8. Graphs and Social Psychology; 9. Planar Graphs and Coloring Problems; 10. Graphs and Other Mathematics. In general, the chapters are quite readable and interesting and, despite the fact that only basic material is covered, some nontrivial theorems are derived.