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Symmetric Designs -- Combinatorics

The following sources are recommended by a professor whose research specialty is symmetric designs in combinatorics.


 

Six Superlative Sources

· Beth, T., Jungnickel, D., and Lenz, H. Design Theory. Volumes 1 and 2, Encyclopedia of Mathematics and Its Applications, No. 69 and No. 78. Cambridge University Press, 1999.

· Hughes, D.R., and Piper, F.C. Design Theory. Cambridge University Press, 1985.

· Lander, E.S. Symmetric Designs: An Algebraic Approach. London Mathematical Lecture Note Series, No. 74, Cambridge University Press, 1983.

· Ionin, Y.J., and Van Trung, T. "Symmetric Designs." In: The CRC Handbook of Combinatorial Designs, C.J. Colbourn and J.H. Dinitz (editors), Chapman and Hall and CRC Press, pp. 110-24, 2006.

· Brouwer, A.E. "Block Designs." In: Handbook of Combinatorics, R. Graham, M. Grotschel, and L. Lovasz (editors), Elsevier Science BV, pp. 693-745, 1995.

· Hall, M. Combinatorial Theory. John Wiley, 1986.

Other Excellent Sources

· The Algorithms Project. Encyclopedia of Combinatorial Structures. The Algorithms Project, INRIA (Institut National de Recherche en Informatique et en automatique). http://algo.inria.fr/encyclopedia/

· Assmus, E.F., and Key, J.D. Designs and Their Codes. Cambridge University Press, 1992.

· Cameron, P.J. Design Resources on the Web. Queen Mary, University of London. http://www.maths.qmul.ac.uk/~pjc/design/resources.html

· Colbourn, C.J., and Dinitz, J.H. Handbook of Combinatorial Designs. Chapman and Hall and CRC, 2006. http://www.cems.uvm.edu/~dinitz/hcd.html

· Dembowski, P. Finite Geometries. Springer, 1968.

· DesignTheory.org. School of Mathematical Sciences, Queen Mary, University of London. http://designtheory.org/

· Dinitz, J.H. Combinatorial Designs. University of Vermont. http://www.emba.uvm.edu/~dinitz/designlinks.html

· Electronic Journal of Combinatorics. http://www.combinatorics.org/

· Fields, J. On-line Dictionary of Combinatorics. Southern Connecticut State University. http://www.southernct.edu/~fields/comb_dic/

· Ionin, Y.J., and Shrikhande, M.S. Combinatorics of Symmetric Designs. New Mathematical Monographs, No. 5, Cambridge University Press, 2006.

· Journal of Combinatorial Designs. http://www.emba.uvm.edu/~jcd/

· Journal of Combinatorial Theory, Series A. http://www.elsevier.com/wps/find/journaldescription.cws_home/622862/description

· Raghavarao, D. Constructions and Combinatorial Problems in Design of Experiments. John Wiley, 1971; Dover Paperback Series, 1989.

· Ryser, H.J. Combinatorial Mathematics. John Wiley, 1963.

· Street, A.P., and Street, D.J. Combinatorics of Experimental Design. Oxford University Press, 1987.

· Street, A.P., and Wallis, W.D. Combinatorial Theory: An Introduction. CRBC Press, 1977.

· Van Lint, J.H., and Wilson, R.M. A Course in Combinatorics. Cambridge University Press, 1993.

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