Graph Theory in America

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This book explores the evolution of graph theory in North America from 1876 to 1976. It begins with James Joseph Sylvester, a prominent mathematician who became the first professor of mathematics at Johns Hopkins University and introduced the modern concept of "graph" in his inaugural lecture, linking it to algebra and chemistry. A century later, in 1976, Kenneth Appel and Wolfgang Haken solved the long-standing four color problem, marking a significant milestone in the field. The narrative traces graph theory's development, highlighting both well-known and lesser-known figures. While many mathematicians dedicated their careers to graph theory, some, like Hassler Whitney, transitioned to other areas, and others, including C. S. Peirce and George Birkhoff, made contributions while focusing on different fields. Interspersed throughout are contextual interludes detailing the growth of the American university system and the parallel advancements in Europe. Additionally, the book summarizes key publications that shaped the discipline. Overall, it chronicles how graph theory emerged, took root, and thrived in America.