On symmetric λ-configurations with small λ

Yufeng GAO, Yanxun CHANG

Front. Math. China ›› 2011, Vol. 6 ›› Issue (1) : 71-78.

PDF(155 KB)
PDF(155 KB)
Front. Math. China ›› 2011, Vol. 6 ›› Issue (1) : 71-78. DOI: 10.1007/s11464-010-0086-5
RESEARCH ARTICLE
RESEARCH ARTICLE

On symmetric λ-configurations with small λ

Author information +
History +

Abstract

In this paper, we focus on the existence of symmetric λ-configurations with λ = 2, 3, and 4. Three new spatial configurations (v8)2 for v = 30, 31, and 32 are constructed. The existence of a spatial configuration (vk)2 are updated for k≤10. The existence tables for symmetric λ-configurations for λ = 3, 4, and small k are also given.

Keywords

λ-configuration / symmetric / spatial configuration

Cite this article

Download citation ▾
Yufeng GAO, Yanxun CHANG. On symmetric λ-configurations with small λ. Front Math Chin, 2011, 6(1): 71‒78 https://doi.org/10.1007/s11464-010-0086-5

References

[1]
Beth T, Jungnickel D, Lenz H. Design Theory. Cambridge: Cambridge University Press, 1999
[2]
Gropp H. On symmetric spatial configurations. Discrete Math, 1994, 125: 201-209
CrossRef Google scholar
[3]
Gropp H. Configurations. In: Colbourn C J, Dinitz J H, eds. Handbook of Combinatorial Designs. 2nd ed. Boca Raton: CRC Press, 2007, 352-354
[4]
Gropp H. New spatial configurations. In: Calmet J, Geiselmann W, Müller-Quade J, eds. Beth Festschrift. <patent>LNCS 5393</patent>. 2008, 27-30
[5]
Hall M. Combinatorial Theory. 2nd ed. New York: Wiley, 1986
[6]
Kaski P, Östergard P R J. There exists no symmetric configuration with 33 points and line size 6. Australasian Journal of Combinatorics, 2007, 38: 273-277
[7]
van Trung T. Symmetric designs. In: Colbourn C J, Dinitz J H, eds. Handbook of Combinatorial Designs. 2nd ed. Boca Raton: CRC Press, 2007, 118-119

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
AI Summary AI Mindmap
PDF(155 KB)

Accesses

Citations

Detail

Sections
Recommended

/