Even astral configurations
type: Item
instance of: scholarly article
title: Even astral configurations
zbMATH Open document ID: 1053.51002
author: Leah Wrenn Berman
published in: The Electronic Journal of Combinatorics
publication date: 2004-10-13T00:00:00Z
full work available at URL: https://eudml.org/doc/124054
full work available at URL: v11i1r37.html
review text: Summary: A configuration \((p_q,n_k)\) is a collection of \(p\) points and \(n\) straight lines in the Euclidean plane so that every point has \(q\) straight lines passing through it and every line has \(k\) points lying on it. A configuration is astral if it has precisely \(\lfloor\frac {q+1} {2}\rfloor\) symmetry classes (transitivity classes) of lines and \(\lfloor\frac {k+1}{2} \rfloor\) symmetry classes of points. An even astral configuration is an astral configuration where \(q\) and \(k\) are both even. This paper completes the classification of all even astral configurations.
Mathematics Subject Classification ID: 51A20
Mathematics Subject Classification ID: 52C35
Mathematics Subject Classification ID: 05B30
zbMATH DE Number: 2107479
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2107479