Siamese objects, and their relation to color graphs, association schemes and Steiner designs

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 12, Issue 5, 2005, Pages 845-857

  Klin, Mikhail ^a   Reichard, Sven ^b   Woldar, Andrew ^c  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b UNIVERSITY OF DELAWARE   (United States)

^c VILLANOVA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745810542     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1136902620     Document Type: Article

References (22)

1. E. Bannai and T. Ito. Algebraic Combinatorics I. Association Schemes. Benjamin/Cummings, Menlo Park, 1984.
2. N.L. Biggs. Distance-regular graphs with diameter three. Ann. Disc. Math. 15:69-80, 1982.
3. A.E. Brouwer, A.M. Cohen, and A. Neumaier. Distance Regular Graphs. Springer-Verlag, Berlin, 1989.
4. L.E. Dickson. Linear groups with an exposition of the Galois field theory. Teubner, Leipzig, 1901 (Dover, 1958).
5. R.H. Dye. Maximal subgroups of symplectic groups stabilizing spreads II. J. London Math. Soc. 2(40):215-226, 1989.
6. I.A. Faradžev and M.H. Klin. Computer package for computations with coherent configurations. In Proc. ISSAC-91, pp. 219-223, Bonn, 1991. ACM Press.
7. I.A. Faradžev, M.H. Klin, and M.E. Muzichuk. Cellular rings and groups of automorphisms of graphs. In I.A. Faradžev et al., editors, Investigations in algebraic theory of combinatorial objects, volume 84 of Mathematics and Its Applications, pages 1-152. Kluwer Academic Publishers, Dordrecht, 1994.
8. J.W.P. Hirschfeld. Finite Projective Spaces of Three Dimensions. Oxford University Press, 1985.
9. H. Kharaghani and R. Torabi. On a decomposition of complete graphs. Graphs Combin. 19:519-526, 2003.
10. M.H. Klin, R. Pöschel, and K. Rosenbaum. Angewandte Algebra. Vieweg, Braunschweig, 1988.
11. M.H. Klin, S. Reichard, and A. Woldar. Siamese association schemes and Siamese Steiner designs. I. Fundamental concepts. (In preparation.)
12. M.H. Klin, S. Reichard, and A. Woldar. Siamese association schemes and Siamese Steiner designs. II. Objects on 15 points. (In preparation.)
13. k). J. Combin. Theory Series B 56:46-57, 1993.
14. R. Mathon. Lower bounds for Ramsey numbers and association schemes. J. Comb. Th. B 42:122-127, 1987.
15. R.A. Mathon, K.T. Phelps, and A. Rosa. Small Steiner triple systems and their properties. Ars Combinatoria 15:3-110, 1983.
16. B.D. McKay. nauty User's Guide (Version 1.5). Technical Report TR-CS-90-02, Computer Science Department, Australian National University, 1990.
17. S.E. Payne. Tight pointsets in finite generalized quadrangles. Congressus Numerantium 60:243-260, 1987.
18. S.E. Payne and J.A. Thas. Finite Generalized Quadrangles. Research Notes in Mathematics. Pitman, 1984.
19. S. Reichard. Computational and Theoretical Analysis of Coherent Configurations and Related Incidence Structures. Dissertation. University of Delaware, Newark, Summer 2003.
20. M. Schönert et al. GAP - Groups, Algorithms, and Programming. Lehrstuhl D für Mathematik, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany, fifth edition, 1995.
21. L.H. Solcher. GRAPE: a system for computing with graphs and groups. In: L. Finkelstein and W.M. Kantor, editors, Groups and Computation, volume 11 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, pp. 287-291. A.M.S., 1993.
22. D.E. Taylor. The Geometry of the Classical Groups. Sigma Series in Pure Math. Helderman, Berlin, 1992.