Alan J. Hoffman

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Alan Hoffman
Born (1924-05-30) May 30, 1924 (age 99)
New York City
Nationality American
Fields Mathematics
Institutions Thomas J. Watson Research Center
City University of New York
Alma mater Columbia University
Thesis On the Foundations of Inversion Geometry (1950)
Doctoral advisor Edgar Lorch
Doctoral students Michael Doob
Refael Hassin
Thomas McCormick
Notable awards John von Neumann Theory Prize (1992)

Alan Jerome Hoffman (born May 30, 1924[1]) is an American mathematician and IBM Fellow emeritus, T. J. Watson Research Center, IBM, in Yorktown Heights, New York. He is the founding editor of the journal Linear Algebra and its Applications, and holds several patents. He has contributed a great deal to combinatorial optimization and the eigenvalue theory of graphs. Hoffman and Robert Singleton constructed the Hoffman–Singleton graph, which is the unique Moore graph of degree 7 and diameter 2.[2]

Awards

Alan Hoffman is a recipient of many awards.[3]

Select Publications

  • Hoffman A. J. & Jacobs W. (1954) Smooth patterns of production. in Management Science, 1(1): 86-91.
  • Hoffman A. J. & Wolfe P. (1985) History. Lawler E. L., Lenstra J. K., Rimmooy Kan A. H. G., & Shmoys D. B., eds. in The Traveling Salesman Problem. John Wiley & Sons: New York.

Notes

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  2. A.E. Brouwer & J.H. van Lint, Strongly regular graphs and partial geometries, in: Enumeration and Design - Proc. Silver Jubilee Conf. on Combinatorics, Waterloo, 1982, D.M. Jackson & S.A. Vanstone (eds.) Academic Press, Toronto (1984) 108.
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References