论文信息 - 2-perfect M-cycle Systems

2-perfect M-cycle Systems

Abstract The spectrum for 2-perfect m -cycle systems of K n has been considered by several authors in the case when m ⩽7. In this paper we essentially solve the problem for 2-perfect m -cycle systems of K n in the case where m is prime and 2 m +1 is a prime power. In particular we settle the problem for m = 11 and 13 except for two or one possible exceptions respectively. The problem for m = 9 is also considered.

Christopher A. Rodger | Charles C. Lindner | C. Lindner | C. Rodger

[1] Douglas R. Stinson,et al. On the existence of MOLS with equal-sized holes , 1987 .

[2] Kevin T. Phelps,et al. The spectrum for 2-perfect 6-cycle systems , 1991, J. Comb. Theory, Ser. A.

[3] Edward Allburn,et al. Graph decomposition , 1990 .

[4] Dean G. Hoffman,et al. On the construction of odd cycle systems , 1989, J. Graph Theory.

[5] Curt Lindner,et al. Graph decomposition and quasigroup identities , 1991 .

[6] Douglas R. Stinson,et al. Steiner pentagon systems , 1984, Discret. Math..