Norman J. Pullman

Norman J. Pullman
Nationality	United States
Fields	Mathematics
Institutions	McGill University
Alma mater	Syracuse University
Thesis	On the number of positive entries in the powers of a non-negative matrix [1] (1962)
Known for	Number theory Linear algebra Tournament theory Matrix theory

Norman J. Pullman (March 31, 1931 – May 28, 1999) was a mathematician, professor of mathematics, and Doctor of Mathematics, who specialized in number theory, matrix theory, linear algebra, and theory of tournaments.^[1][2][3]

Career

He earned an M.A. degree in mathematics from Harvard University, and in 1962, he was awarded the Doctorate degree of Mathematics from Syracuse University. ^[2]

From 1962 to 1965, he was professor of Mathematics at McGill University. And in 1965 he was awarded a postdoctoral fellowship at University of Alberta.^[2]

In 1965 he started to work at the faculty of Queen's University, and held a professorship position since 1971.^[2]

He lectured in professional meetings for the American Mathematical Society and the Australian Mathematical Society.

He was a Visiting Scholar for Curtin University of Technology in a great many occasions, and had a professional association with the institution.

During his career, he supervised mathematicians like Dominique de Caen, Rolf S. Rees, and Bill Jackson, among others.^[2]

His research included contributions in matrix theory, linear algebra, and theory of tournaments.^[2]

Academic publications

• Leroy B. Beasley; Sylvia D. Monson; Norman J. Pullman (1999). "Linear operators that strongly preserve graphical properties of matrices - II". Discrete Mathematics 195 (1-3): 53–66. doi:10.1016/S0012-365X(98)00164-2.
• Stephen J. Kirkland; Norman J. Pullman (1996). "The polytope of generalized tournament matrices with a common integral score vector". Ars Combinatoria 44.
• S. D. Monson; N. J. Pullman; R. Rees (1995). "A survey of clique and biclique coverings and factorizations of (0; 1)-matrices".
• N. J. Pullman (1995). "A bound on the exponent of a primitive matrix using Boolean rank". Linear Algebra and Its Applications 217: 101–116. doi:10.1016/0024-3795(92)00003-5.
• David A. Gregory; Norman Pullman; Stephen J. Kirkl (1994). "On the dimension of the algebra generated by a boolean matrix". Linear & Multilinear Algebra 38 (1): 131–144. doi:10.1080/03081089508818346.
• Leroy B. Beasley; Norman J. Pullman (1992). "Linear operators that strongly preserve graphical properties of matrices". Discrete Mathematics 104 (2): 143–157. doi:10.1016/0012-365X(92)90329-E.
• LeRoy Beasley; Norman Pullman (1992). "Linear operators that strongly preserve the index of imprimitivity". Linear & Multilinear Algebra 31 (1): 267–283. doi:10.1080/03081089208818139.
• Stephen Kirkland; Norman Pullman (1992). "Linear operators preserving invariants of nonbinary boolean matrices". Linear & Multilinear Algebra 33 (3): 295–300. doi:10.1080/03081089308818200.
• John Maybee; Norman Pullman (1990). "Tournament matrices and their generalizations, I". Linear & Multilinear Algebra 28 (1): 57–70. doi:10.1080/03081089008818030.
• L. Caccetta; N. J. Pullman (1990). "Regular graphs with prescribed chromatic number". Journal of Graph Theory 14 (1): 65–71. doi:10.1002/jgt.3190140107.
• Leroy Beasley; Norman Pullman (1990). "Linear operators strongly preserving digraphs whose maximum cycle length". Linear & Multilinear Algebra 28 (1): 111–117. doi:10.1080/03081089008818035.
• LeRoy B. Beasley; Norman J. Pullman (1989). "Linear operators that strongly preserve primitivity". Linear & Multilinear Algebra 25 (3): 205–213. doi:10.1080/03081088908817942.
• L. B. Beasley; N. J. Pullman (1988). "Semiring rank versus column rank".
• K. F. Jones; J. R. Lundgren; N. J. Pullman; R. Rees (1988). "A note on the biclique covering numbers of Kn n Km and complete t-partite graphs".
• Norman J. Pullman; Miriam Stanford (1988). "Singular (0,1) matrices with constant row and column sums". Linear Algebra and Its Applications 106: 195–208. doi:10.1016/0024-3795(88)90028-6.
• Norman J. Pullman (1987). "Review of incline algebra and applications, by Z-Q Cao, K.H. Kim, and F.W. Roush". Linear Algebra and Its Applications 90 (1): 239–240. doi:10.1016/0024-3795(87)90316-8.
• L. B. Beasley and; D. A. Gregory and; N. J. Pullman (1985). "Nonnegative rank-preserving operators". Linear Algebra and Its Applications 65 (1-3): 207–223. doi:10.1016/0024-3795(85)90098-9.
• L. B. Beasley and; N. J. Pullman (1984). "Boolean-rank-preserving operators and Boolean-rank-1 spaces". Linear Algebra and Its Applications 59 (1): 55–77. doi:10.1016/0024-3795(84)90158-7.
• L. Caccetta and; N. J. Pullman (1983). "On clique covering numbers of regular graphs". Ars Combinatoria.
• N. J. Pullman and; H. Shank and; W. D. Wallis (1982). "Clique coverings of graphs V: maximal-clique partitions". Bulletin of the Australian Mathematical Society 25 (03). doi:10.1017/S0004972700005414.
• Pullman, Norman J. (1976). Matrix Theory and its Applications. M. Dekker. p. 240. ISBN 9780824764203.
• Norman J. Pullman; N. Wormald (1983). "Regular graphs of prescribed odd girth". Utilitas Mathematica 24.

References

1. Norman J. Pullman at the Mathematics Genealogy Project
2. Pullman, N.J.; Rees, R.S. (1993). Graphs, Matrices, and Designs: Festschrift in Honor of Norman J. Pullman. Lecture Notes in Pure and Applied Mathematics Series. CRC Press Inc. ISBN 9780824787905. LCCN lc92024370.
3. David A. Gregory; Stephen J. Kirkland (1999). "Norman J. Pullman (1931–1999)". The Bulletin of the International Linear Algebra Society (McGill University) (23).