Robert Craigen

Profile

Select Publications

Name: Robert Craigen

Position Title: Associate Professor

Office Phone Number: (204) 474-7489

Email: Robert.Craigen@umanitoba.ca

Research and Teaching Interests

Combinatorial matrix theory

Education

B.Sc. UBC
M.Sc. Waterloo
Ph.D. Waterloo

Current Graduate Student

Angel Barría Comicheo (Ph.D.)

Courses taught

MATH 3360 A01

Links

http://home.cc.umanitoba.ca/~craigen

https://mathscinet.ams.org/mathscinet/MRAuthorID/259868

Compton, B.; Craigen, R. and de Launey, W. (2016). Unreal BH(n,6)‘s and Hadamard matrices. Des. Codes Cryptogr. 79 (2), 219–229.
Craigen, Robert and de Launey, Warwick (2016). Constructions for circulant and group-developed generalized weighing matrices. J. Combin. Des. 24 (9), 406–420.
Craigen, R.. BIRS Workshop 14w2199 July 11–13, 2014: problem solving session. In Algebraic design theory and Hadamard matrices 251–259. Springer, Cham, 2015.
Craigen, R.; Faucher, G.; Low, R. and Wares, T. (2013). Circulant partial Hadamard matrices. Linear Algebra Appl. 439 (11), 3307–3317.
Craigen, R. and de Launey, W. (2009). Generalized Hadamard matrices whose transposes are not generalized Hadamard matrices. J. Combin. Des. 17 (6), 456–458.
Craigen, R. and Woodford, R. (2008). Power Hadamard matrices. Discrete Math. 308 (13), 2868–2884.
Craigen, R.; Gibson, Will and Koukouvinos, C. (2007). An update on primitive ternary complementary pairs. J. Combin. Theory Ser. A 114 (5), 957–963.
Craigen, R. (2006). Products and factorizations of ternary complementary pairs. Australas. J. Combin. 34, 269–280.
Craigen, R.; Georgiou, S.; Gibson, Will and Koukouvinos, C. (2006). Further explorations into ternary complementary pairs. J. Combin. Theory Ser. A 113 (6), 952–965.
Craigen, R. and Kharaghani, H. (2005). A recursive method for orthogonal designs. Metrika 62 (2-3), 185–193.
Low, R. M.; Stamp, M.; Craigen, R. and Faucher, G. (2005). Unpredictable binary strings. Congr. Numer. 177, 65–75. 36th Southeastern International Conference on Combinatorics, Graph Theory, and Computing
Craigen, R. and Kharaghani, H. (2004). Weaving Hadamard matrices with maximum excess and classes with small excess. J. Combin. Des. 12 (4), 233–255.
Craigen, R. (2003). Boolean and ternary complementary pairs. J. Combin. Theory Ser. A 104 (1), 1–16.
Craigen, R.; Holzmann, W. and Kharaghani, H. (2002). Complex Golay sequences: structure and applications. Discrete Math. 252 (1-3), 73–89.
Craigen, R. and Koukouvinos, C. (2001). A theory of ternary complementary pairs. J. Combin. Theory Ser. A 96 (2), 358–375.
Craigen, R.; Holzmann, W. H. and Kharaghani, H. (1997). On the asymptotic existence of complex Hadamard matrices. J. Combin. Des. 5 (5), 319–327.
Craigen, R. and Kharaghani, H. (1997). Hadamard matrices from weighing matrices via signed groups.Des. Codes Cryptogr. 12 (1), 49–58.
Craigen, R. and Kharaghani, H. (1996). A combined approach to the construction of Hadamard matrices. Australas. J. Combin. 13, 89–107.
Craigen, R. (1995). Constructing weighing matrices by the method of weaving. J. Combin. Des. 3 (1), 1–13.
Craigen, R. (1995). Signed groups, sequences, and the asymptotic existence of Hadamard matrices. J. Combin. Theory Ser. A 71 (2), 241–254.
Craigen, R. (1995). The structure of weighing matrices having large weights. Des. Codes Cryptogr. 5 (3), 199–216.
Craigen, R. (1994). A direct approach to Hadamard’s inequality. Bull. Inst. Combin. Appl. 12, 28–32.
Craigen, R. (1994). Complex Golay sequences. J. Combin. Math. Combin. Comput. 15, 161–169.
Craigen, R. (1994). Regular conference matrices and complex Hadamard matrices. Utilitas Math. 45, 65–69.
Craigen, R. (1994). Trace, symmetry and orthogonality. Canad. Math. Bull. 37 (4), 461–467.
Craigen, R. and Kharaghani, H. (1994). On the existence of regular Hadamard matrices. Congr. Numer. 99, 277–283. Twenty-third Manitoba Conference on Numerical Mathematics and Computing (Winnipeg, MB, 1993)
Craigen, R. (1993). The craft of weaving matrices. Congr. Numer. 92, 9–28. Twenty-second Manitoba Conference on Numerical Mathematics and Computing (Winnipeg, MB, 1992)
Craigen, R. and Kharaghani, H. (1993). On the nonexistence of Hermitian circulant complex Hadamard matrices. Australas. J. Combin. 7, 225–227.
Craigen, R. and Wallis, W. D. (1993). Hadamard matrices: 1893–1993. In Proceedings of the Twenty-fourth Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1993) pp. 99–129.
Craigen, R. (1992). A generalization of Belevitch’s construction. In Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics and Computing (Winnipeg, MB, 1991) pp. 43–50.
Craigen, R. (1992). Constructing Hadamard matrices with orthogonal pairs. Ars Combin. 33, 57–64.
Craigen, R. (1992). Matrices equivalent to their transpose by permutations. In Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics and Computing (Winnipeg, MB, 1991) pp. 33–41.
Craigen, R.; Seberry, Jennifer and Zhang, Xian Mo (1992). Product of four Hadamard matrices. J. Combin. Theory Ser. A 59 (2), 318–320.
Craigen, R. (1991). A new class of weighing matrices with square weights. Bull. Inst. Combin. Appl. 3, 33–42.
Craigen, R. (1991). Embedding rectangular matrices in Hadamard matrices. Linear and Multilinear Algebra 29 (2), 91–92.
Craigen, R. (1991). Equivalence classes of inverse orthogonal and unit Hadamard matrices. Bull. Austral. Math. Soc. 44 (1), 109–115.
Craigen, R. (1991). Weighing matrices from generalized Hadamard matrices by 2-adjugation. J. Combin. Math. Combin. Comput. 10, 193–200.
Craigen, Robert William (1991). Constructions for orthogonal matrices. ProQuest LLC, Ann Arbor, MI.
Craigen, R. (1990). The range of the determinant function on the set of n×n (0,1)-matrices. J. Combin. Math. Combin. Comput. 8, 161–171.
Craigen, R. and Páles, Z. (1989). The associativity equation revisited. Aequationes Math. 37 (2-3), 306–312.