Abstract
Let n ≥ 7. Then there exists a uniform covering of 2-paths with 6-paths in K n if and only if n ≡ 0,1,2 (mod 5).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Heinrich, K., Kobayashi, M., Nakamura, G.: Dudeney’s round table problem. Discrete Mathematics 92, 107–125 (1991)
Heinrich, K., Langdeau, D., Verrall, H.: Covering 2-paths uniformly. J. Combin. Des. 8, 100–121 (2000)
Heinrich, K., Nonay, G.: Exact coverings of 2-paths by 4-cycles. J. Combin. Theory (A) 45, 50–61 (1987)
Kobayashi, M.: Kiyasu, Z. and G. Nakamura, A solution of Dudeney’s round table problem for an even number of people. J. Combinatorial Theory (A) 62, 26–42 (1993)
Kobayashi, M., Nakamura, G.: Uniform coverings of 2-paths by 4-paths. Australasian J. Combin. 24, 301–304 (2001)
Kobayashi, M., Nakamura, G., Nara, C.: Uniform coverings of 2-paths with 5-paths in K 2n . Australasian J. Combin. 27, 247–252 (2003)
Kobayashi, M., Nakamura, G., Nara, C.: Uniform coverings of 2-paths with 5-paths in the complete graph (accepted)
Kobayashi, M., Nakamura, G.: Uniform coverings of 2-paths with 6-cycles in the complete graph (manuscript)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Akiyama, J., Kobayashi, M., Nakamura, G. (2005). Uniform Coverings of 2-Paths with 6-Paths in the Complete Graph. In: Akiyama, J., Baskoro, E.T., Kano, M. (eds) Combinatorial Geometry and Graph Theory. IJCCGGT 2003. Lecture Notes in Computer Science, vol 3330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30540-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-30540-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24401-1
Online ISBN: 978-3-540-30540-8
eBook Packages: Computer ScienceComputer Science (R0)