The Fascinating World of Graph Theory - Arthur Benjamin, Gary Chartrand, Ping Zhang

The Fascinating World of Graph Theory

Buch | Hardcover
344 Seiten
2015
Princeton University Press (Verlag)
978-0-691-16381-9 (ISBN)
29,90 inkl. MwSt
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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. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.

Arthur Benjamin is professor of mathematics at Harvey Mudd College. Gary Chartrand is professor emeritus of mathematics at Western Michigan University. Ping Zhang is professor of mathematics at Western Michigan University.

Preface vii Prologue xiii 1 Introducing Graphs 1 2 Classifying Graphs 22 3 Analyzing Distance 45 4 Constructing Trees 67 5 Traversing Graphs 91 6 Encircling Graphs 108 7 Factoring Graphs 125 8 Decomposing Graphs 143 9 Orienting Graphs 164 10 Drawing Graphs 183 11 Coloring Graphs 206 12 Synchronizing Graphs 226 Epilogue Graph Theory: A Look Back-The Road Ahead 251 Exercises 255 Selected References 309 Index of Names 317 Index of Mathematical Terms 319

Zusatzinfo 300 line illus.
Verlagsort New Jersey
Sprache englisch
Maße 152 x 235 mm
Gewicht 680 g
Themenwelt Sachbuch/Ratgeber Natur / Technik
Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-691-16381-2 / 0691163812
ISBN-13 978-0-691-16381-9 / 9780691163819
Zustand Neuware
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