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Professor Sylvia Hobart
Education
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I am interested in connections between algebra and combinatorics, particularly the ways in which algebraic methods can be used to explore various combinatorial objects. Coherent configurations and association schemes provide one general context for this. I have worked in particular on quasi-symmetric designs, 2-designs with three intersection sizes, generalized quadrangles, and directed strongly regular graphs. |
Representative Publications
Sylvia A. Hobart and T. Justin Shaw, A Note on a Family of Directed Strongly
Regular Graphs. European Journal of Combinatorics 20 (1999), 819-820.
S. Hobart and T. Ito, The Structure of Irreducible T-modules of Endpoint 1: Ladder Bases and Classical Parameters. Journal of Algebraic Combinatorics 7 (1998), 53-75.
S. A. Hobart, Krein Conditions for Coherent Configurations. Linear Algebra and Its Applications 226-22 (1995), 499-508.
Sylvia A. Hobart and Stanley E. Payne, Reconstructing a Generalized Quadrangle from its Distance Two Association Scheme. Journal of Algebraic Combinatorics 2 (1993), 261-266.
W. H. Haemers, D. G. Higman, and S. A. Hobart, Strongly Regular Graphs
Induced by Polarities of Symmetric Designs.
In: Advances in Finite Geometries and Designs: Proceedings of the Third
Isle of
Thorns Conference 1990 (J. W. P. Hirschfeld, D. R. Hughes, and J. A. Thas,
eds.), 163-168. Oxford University Press, 1991.
S. A. Hobart, A Characterization of t-Designs in Terms of the Inner Distribution. European Journal of Combinatorics 10 (1989), 445-448.
Other
Activities
I've supervised three
M.S students: Justin Shaw, John Swaby, and Pete Morris.