Abstract
Type-II matrices are a class of matrices used by Jones in his work on spin models. In this paper we show that type-II matrices arise naturally in connection with some interesting combinatorial and geometric structures.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. E. Brouwer, A. M. Cohen and A. Neumaier: Distance-regular graphs, Springer-Verlag, Berlin, 1989.
D. A. Cox, J. Little and D. O’shea: Using algebraic geometry, second ed., Springer, New York, 2005.
F. Jaeger: Strongly regular graphs and spin models for the Kauffman polynomial, Geom. Dedicata44(1) (1992), 23–52.
F. Jaeger: New constructions of models for link invariants, Pacific J. Math.176(1) (1996), 71–116.
F. Jaeger, M. Matsumoto and K. Nomura: Bose-Mesner algebras related to type II matrices and spin models, J. Algebraic Combin.8(1) (1998), 39–72.
V. F. R. Jones: On knot invariants related to some statistical mechanical models, Pacific J. Math.137(2) (1989), 311–334.
K. Nomura: An algebra associated with a spin model, J. Algebraic Combin.6(1) (1997), 53–58.
J. J. Seidel: Geometry and combinatorics, Academic Press Inc., Boston, MA, 1991. Selected works of J. J. Seidel, edited and with a preface by D. G. Corneil and R. Mathon.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chan, A., Godsil, C. Type-II matrices and combinatorial structures. Combinatorica 30, 1–24 (2010). https://doi.org/10.1007/s00493-010-2329-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00493-010-2329-1