# John H. Smith

**John H. Smith** was responsible for defining the "Smith set" (among other accomplishments).

John Howard Smithis an American mathematician and retired professor of mathematics at Boston College.^{[1]}He received his Ph.D. from the Massachusetts Institute of Technology in 1963, under the supervision of Kenkichi Iwasawa.^{[1]}^{[2]}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.

^{[3]}He has also made contributions to spectral graph theory^{[4]}and additive number theory.^{[5]}

See also:

- Links to find Smith
- Paper that Smith wrote with Robert Gross:
- Archive.org webpage from just prior to Smith's retirement

## References

- ↑
^{a}^{b}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.