Graphical Enumeration deals with the enumeration of various kinds of graphs. Topics covered range from labeled enumeration and George Pólya's theorem to rooted and unrooted trees, graphs and digraphs, and power group enumeration. Superposition, blocks, and asymptotics are also discussed. A number of unsolved enumeration problems are presented. Comprised of 10 chapters, this book begins with an overview of labeled graphs, followed by a description of the basic enumeration theorem of Pólya. The next three chapters count an enormous variety of trees, graphs, and digraphs. The Power Group Enumeration Theorem is then described together with some of its applications, including the enumeration of self-complementary graphs and digraphs and finite automata. Two other chapters focus on the counting of superposition and blocks, while another chapter is devoted to asymptotic numbers that are developed for several different graphical structures. The book concludes with a comprehensive definitive list of unsolved graphical enumeration problems. This monograph will be of interest to both students and practitioners of mathematics.
“What does it take to make a great general or a great leader in any field? . . . An excellent contribution to the study of leadership among those who make life-and-death decisions in the most challenging situations—one that could well serve as required reading in both military and business schools.”—Kirkus Reviews Throughout his life, Edgar F. “Beau” Puryear has studied America’s top military leaders. In his research for this book, he has sought to discover what allowed them to rise above their contemporaries; what prepared them for the terrible responsibilities they bore as the commanders of our armed forces during World War II, Korea, Vietnam, the Gulf, and on to today; how they are different from you and me. Ultimately, first and foremost, Dr. Puryear discovered that character is the single most important and the most distinctive element shared by these individuals: that character is everything! “Beau Puryear again reaches into his gold mine of research and comes forward with the essence of great generalship. . . . Well-done and a worthy read.”—General Colin L. Powell “We can always learn more about the importance of character to successful leadership. With this book, we do just that.”—General H. Norman Schwarzkopf
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