The fascinating world of graph theory goes back several centuries and revolves around the study of graphsmathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematicsand some of its most famous problems. For example, what is the shortest route for a traveling salesman seeking to visit a number of cities in one trip? What is the least number of colors needed to fill in any map so that neighboring regions are always colored differently? Requiring readers to have a math background only up to high school algebra, this book explores the questions and puzzles that have been studied, and often solved, through graph theory. In doing so, the book looks at graph theorys development and the vibrant individuals responsible for the fields growth.Introducing graph theorys fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, the Minimum Spanning Tree Problem, the Knigsberg Bridge Problem, the Chinese Postman Problem, a Knights Tour, and the Road Coloring Problem. They present every type of graph imaginable, such as bipartite graphs, Eulerian graphs, the Petersen graph, and trees. Each chapter contains math exercises and problems for readers to savor.An eye-opening journey into the world of graphs, this book offers exciting problem-solving possibilities for mathematics and beyond.
Fascinating World of Graph Theory