An effort has been made to present the various topics in the theory of graphs in a logical order, to indicate the historical background, and to clarify the exposition by including figures to illustrate concepts and results. In addition, there are three appendices which provide diagrams of graphs, directed graphs, and trees. The emphasis throughout is on theorems rather than algorithms or applications, which however are occaisionally mentioned.
Graph Theory Book By Harary Pdf Download
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Over a long and productive career, Per Hage produced a diverse and influential body of work. He conceptualized and solved a range of anthropological problems, often with the aid of mathematical models from graph theory. In three books and many research articles, Hage, and his mathematician collaborator Frank Harary, developed innovative analyses of exchange relations, including marriage, ceremonial, and resource exchange. They advanced network models for the study of communication, language evolution, kinship and classification. And they demonstrated that graph theory provides an analytical framework that is both subtle enough to preserve culturally specific relations and abstract enough to allow for genuine cross-cultural comparison. With graph theory, two common analytical problems in anthropology can be avoided: the problem of hiding cultural phenomena with weak cross-cultural generalizations, and the problem of making misleading comparisons based on incomparable levels of abstraction. This paper provides an overview of Hage\u2019s work in an attempt to place it in the broader context of anthropology in the latetwentieth and early-twenty first centuries.
Available only as a highly interactive e-book, this revolutionary volume allows mathematicians and geographers to view graph theory in a new and vibrant way. Renowned experts in the field, the authors provide complete, up-to-date coverage of relevant theories using real-world examples to highlight the synthetic nature of graph theory and geography and help professionals and students find new, concrete applications. Theories and definitions are accompanied by complementary chapters that explain the mathematics behind the examples and provide quick reference options. Brilliant, four-color graphics elucidate this comprehensive treatment, while the e-book format allows for uncommon flexibility and ease of use. The electronic format takes full advantage of online tools such as animation and Java; applets to allow readers to follow processes as they happen, while hyperlinks allow readers to move easily through the text for quick reference to theorems or definitions. Available with a free, enhanced e-book reader, Graph Theory and Geography offers comprehensive coverage and unprecedented convenience to readers at almost any level of experience. 2ff7e9595c
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