Alan J. Hoffman

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Alan Hoffman
Born (1924-05-30) May 30, 1924 (age 96)
Alma materColumbia University
AwardsJohn von Neumann Theory Prize (1992)
Scientific career
InstitutionsThomas J. Watson Research Center
City University of New York
ThesisOn the Foundations of Inversion Geometry (1950)
Doctoral advisorEdgar Lorch

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 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]


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

Select Publications[edit]

  • 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., Rinnooy Kan A. H. G., & Shmoys D. B., eds. in The Traveling Salesman Problem. John Wiley & Sons: New York.


  1. ^ Personal Page, IBM. "Alan Hoffman". IBM Research. Archived from the original on 2012-03-14. Retrieved 2011-11-14.
  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.
  3. ^ "People: Alan Hoffman". IBM Research. Retrieved 5 January 2015.
  4. ^ Fellows: Alphabetical List, Institute for Operations Research and the Management Sciences, archived from the original on 2019-05-10, retrieved 2019-10-09


External links[edit]