![]() ![]() ![]() ![]() Frank Harary (left) and in Oberwolfach, 1972 Born ( 1921-03-11)March 11, 1921 Died January 4, 2005 ( 2005-01-04) (aged 83) Nationality Alma mater Scientific career Fields Institutions Frank Harary (March 11, 1921 – January 4, 2005) was an American, who specialized in. He was widely recognized as one of the 'fathers' of modern graph theory. Harary was a master of clear exposition and, together with his many doctoral students, he standardized the terminology of graphs. He broadened the reach of this field to include physics, psychology, sociology, and even anthropology. Gifted with a keen sense of humor, Harary challenged and entertained audiences at all levels of mathematical sophistication. A particular trick he employed was to turn theorems into games - for instance, students would try to add red edges to a graph on six vertices in order to create a red triangle, while another group of students tried to add edges to create a blue triangle (and each edge of the graph had to be either blue or red). Because of the, one team or the other would have to win. • ^, a biographical sketch at the ACM site • November 5, 2013, at the. • 'The quixotic adventure of Frank Harary or how land speculation or city hall's neglect have contributed to Ann Arbor’s low-income housing shortage', April 17, 1969, page 5 • Queena N. Lee-Chua (October 13, 2001),, link from • Alba, Diana M. 'Late NMSU prof had noted career'. Las Cruces Sun-News. • Harary, Frank (1955), 'The number of linear, directed, rooted, and connected graphs',, 78: 445–463,:,. (1953-54) 'On the notion of balance of a signed graph', 2: 143-146 and addendum preceding p. Harary (1955), Michigan Mathematical Journal 3: 37 to 41 link from Project Euclid • Cartwright, D. And Harary, F. (1956), 63: 277-293 link from • Harary, Frank; (1966), 'The theory of round robin tournaments',, 73 (3): 231–246,:, • • Frank Harary (1969) Graph Theory, • Festinger, L. (1949) 'The analysis of sociograms using matrix algebra', Human Relations 2: 152–8 • F. Harary & Ian Ross (1957) 'A procedure for clique detection using the group matrix', Sociometry 20: 205–15 • F. Harary & Ian Ross (1960) ) The square of a tree, 39(3):641 to 47 External links [ ] • at the • from •;,,,. The authors define spatial mathematics, the title of the book, as the study of geographic topics with theoretical underpinnings that draw from “all forms of geometry, [as well as] from topology, graph theory, trigonometry, modern algebra, symbolic logic, set theory, and” other mathematical subjects (p. Prentice Hall, Upper Saddle River, NJ 2001. White, Graphs of Groups on Surfaces: Interactions and Models, North-Holland, Amsterdam 2001. Royle, Algebraic Graph Theory, Springer, New York 2001. Arlinghaus, W. Arlinghaus, F. Harary, Graph Theory and Geography: An Interactive View E-Book,.
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