The fascinating world of graph theory /Arthur Benjamin, Gary Chartrand, Ping Zhang.

Benjamin, Arthur,

The fascinating world of graph theory /Arthur Benjamin, Gary Chartrand, Ping Zhang. - Princeton : Princeton University Press, (c)2015. - 1 online resource (xi, 322 pages) : illustrations

Includes bibliographies and index.

Introducing graphs -- Classifying graphs -- Analyzing distance -- Constructing trees -- Traversing graphs -- Encircling graphs -- Factoring graphs -- Decomposing graphs -- Orienting graphs -- Drawing graphs -- Coloring graphs -- Synchronizing graphs.

"The fascinating world of graph theory goes back several centuries and revolves around the study of graphs - mathematical 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 mathematics - and 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 theory's development and the vibrant individuals responsible for the field's growth."--Jacket.



9781322519487 9781400852000


Graph theory.


Electronic Books.

QA166 / .F373 2015