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

Print publication date: 2017

Print ISBN-13: 9780691175638

Published to Princeton Scholarship Online: May 2018

DOI: 10.23943/princeton/9780691175638.001.0001

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Graph Theory: A Look Back—The Road Ahead

Graph Theory: A Look Back—The Road Ahead

Chapter:
(p.251) Epilogue Graph Theory: A Look Back—The Road Ahead
Source:
The Fascinating World of Graph Theory
Author(s):

Arthur Benjamin

Gary Chartrand

Ping Zhang

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691175638.003.0013

This book concludes with an epilogue, which traces the evolution of graph theory, from the conceptualization of the Königsberg Bridge Problem and its generalization by Leonhard Euler, whose solution led to the subject of Eulerian graphs, to the various efforts to solve the Four Color Problem. It considers elements of graph theory found in games and puzzles of the past, and the famous mathematicians involved including Sir William Rowan Hamilton and William Tutte. It also discusses the remarkable increase since the 1960s in the number of mathematicians worldwide devoted to graph theory, along with research journals, books, and monographs that have graph theory as a subject. Finally, it looks at the growth in applications of graph theory dealing with communication and social networks and the Internet in the digital age and the age of technology.

Keywords:   graph theory, Königsberg Bridge Problem, Leonhard Euler, Eulerian graph, Four Color Problem, graph, mathematicians, Sir William Rowan Hamilton, William Tutte, Internet

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