On a Decomposition of Complete Graphs

Graphs and Combinatorics

Volumn 19, Issue 4, 2003, Pages 519-526

  Kharaghani, H ^a   Torabi, R ^b  

^a UNIVERSITY OF LETHBRIDGE   (Canada)

^b INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

Author keywords

Balanced generalized weighing matrix; Complete graph; Difference set; Strongly regular graph; Symmetric design

Indexed keywords

EID: 0347568561     PISSN: 09110119     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00373-003-0527-y     Document Type: Article

References (11)

1. Berman, G.: Families of generalized weighing matrices. Can. J. Math. 30, 1016-1028 (1978)
2. Beth, T., Jungnickel, D., Lenz, H.: Design Theory, Second Edn. Cambridge: Cambridge University Press 1999
3. Brouwer, A.E.: Strongly Regular Graphs. In: C.J. Colbourn and J.H. Dinitz: The CRC Handbook of Combinatorial Designs, pp. 667-683, Boca Raton: CRC Press 1996
4. Gibbons, P.B., Mathon, R.: Construction methods for Bhaskar Rao and related designs. J. Aust. Math. Soc., Ser. A 42, 5-30 (1987)
5. Ionin, Y.J.: A technique for constructing symmetric designs. Des. Codes Cryptography 14, 147-158 (1998)
6. Ionin, Y.J.: New symmetric designs from regular Hadamard matrices. Electron. J. Comb. 5, R1 (1998)
7. Jungnickel, D., Tonchev, V.: Perfect codes and Balanced Weighing Matrices. Finite Fields Appl. 5, 294-300 (1999)
8. Kharaghani, H.: On the twin designs with the Ionin-type parameters. Electron. J. Comb. 7, #R1 (2000)
9. Kharaghani, H.: On the Siamese twin designs. In: D. Jungnickel and H. Niederreiter: Finite Fields and Applications, pp. 303-312, Berlin, Heidelberg: Springer-Verlag (2001)
10. Kharaghani, H.: On a class of Symmetric Balanced Weighing Matrices. Des. Codes Cryptography (to appear)
11. Payne, S.E.: Generalized Quadrangles. In: C.J. Colbourn and J.H. Dinitz: CRC Handbook of Combinatorial Designs, pp. 357-461, Boca Raton: CRC Press 1996