Geodesic
Some results on odd astral configurations
The electronic journal of combinatorics, Tome 13 (2006)
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An astral configuration $(p_q, n_k)$ is a collection of $p$ points and $n$ straight lines in the Euclidean plane where every point has $q$ straight lines passing through it and every line has $k$ points lying on it, with precisely $\lfloor {q+1\over 2} \rfloor$ symmetry classes (transitivity classes) of lines and $\lfloor {k+1\over 2} \rfloor$ symmetry classes of points. An odd astral configuration is an astral configuration where at least one of $q$ and $k$ is odd. This paper presents all known results in the classification of odd astral configurations where $q$ and $k$ are both at least 4.
DOI : 10.37236/1053
Classification : 51E30, 52C30, 05B30 
@article{10_37236_1053,
     author = {Leah Wrenn Berman},
     title = {Some results on odd astral configurations},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1053},
     zbl = {1105.51003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1053/}
}
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Leah Wrenn Berman. Some results on odd astral configurations. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1053

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