John H. Smith was responsible for defining the "Smith set" (among other accomplishments).
John Howard Smith is an American mathematician and retired professor of mathematics at Boston College. He received his Ph.D. from the Massachusetts Institute of Technology in 1963, under the supervision of Kenkichi Iwasawa.
In voting theory, he is known for the Smith set, the smallest nonempty set of candidates such that, in every pairwise matchup (two-candidate election/runoff) between a member and a non-member, the member is the winner by majority rule, and for the Smith criterion, a property of certain election systems in which the winner is guaranteed to belong to the Smith set. He has also made contributions to spectral graph theory and additive number theory.
- Links to find Smith
- Paper that Smith wrote with Robert Gross:
- Archive.org webpage from just prior to Smith's retirement
References[edit | edit source]
- Math faculty listing, Boston College, retrieved 2011-03-28.
- mathgeneology.org website "John Howard Smith" (id: 7805) url: https://mathgenealogy.org/id.php?id=7805 .
- Smith, J.H. (1973), "Aggregation of Preferences with Variable Electorates", Econometrica, 41 (6): 1027–1041, doi:10.2307/1914033, JSTOR 1914033.
- Smith, John H. (1970), "Some properties of the spectrum of a graph", Combinatorial Structures and their Applications (Proc. Calgary Internat. Conf., Calgary, Alta., 1969), New York: Gordon and Breach, pp. 403–406, MR 0266799.
- Fein, Burton; Gordon, Basil; Smith, John H. (1971), "On the representation of −1 as a sum of two squares in an algebraic number field", Journal of Number Theory, 3 (3): 310–315, doi:10.1016/0022-314X(71)90005-9, MR 0319940.