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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5393))

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Abstract

This second paper on constructions of spatial configurations follows the author’s paper of 1994 [2]. For the first time again new spatial configurations are constructed, in particular a configuration (338)2, the smallest known configuration (v 8)2, and several configurations (v 9)2, in particular for v = 40 and for v ≥ 43.

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References

  1. Gropp, H.: On Golomb birulers and their applications. Mathematica Slovaca 42, 517–529 (1992)

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  2. Gropp, H.: On symmetric spatial configurations. Discrete Math. 125, 201–209 (1994)

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  3. Gropp, H.: Configurations. In: Colbourn, C.J., Dinitz, J.H. (eds.) Handbook of Combinatorial Designs, 2nd edn., Boca Raton, pp. 352–354 (2007)

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  4. Kaski, P., Östergård, P.: There exists no symmetric configuration with 33 points and line size 6. Australasian Journal of Combinatorics 38, 273–277 (2007)

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© 2008 Springer-Verlag Berlin Heidelberg

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Gropp, H. (2008). New Spatial Configurations. In: Calmet, J., Geiselmann, W., Müller-Quade, J. (eds) Mathematical Methods in Computer Science. Lecture Notes in Computer Science, vol 5393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89994-5_3

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  • DOI: https://doi.org/10.1007/978-3-540-89994-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-89993-8

  • Online ISBN: 978-3-540-89994-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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