Quasi-configurations: Building blocks for point-line configurations
Bokowski, Jürgen ; Pilaud, Vincent
ARS MATHEMATICA CONTEMPORANEA, Tome 11 (2015), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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We study point-line incidence structures and their properties in the projective plane. Our motivation is the problem of the existence of (n_4) configurations, still open for few remaining values of n. Our approach is based on quasi-configurations: point-line incidence structures where each point is incident to at least 3 lines and each line is incident to at least 3 points. We investigate the existence problem for these quasi-configurations, with a particular attention to 3|4-configurations where each element is 3- or 4-valent. We use these quasi-configurations to construct the first (37_4) and (43_4) configurations. The existence problem of finding (22_4), (23_4), and (26_4) configurations remains open.

Publié le : 2015-01-01
DOI : https://doi.org/10.26493/1855-3974.642.bbb 
@article{642,
     title = {Quasi-configurations: Building blocks for point-line configurations},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {11},
     year = {2015},
     doi = {10.26493/1855-3974.642.bbb},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/642}
}

Bokowski, Jürgen; Pilaud, Vincent. Quasi-configurations: Building blocks for point-line configurations. ARS MATHEMATICA CONTEMPORANEA, Tome 11 (2015) . doi : 10.26493/1855-3974.642.bbb. http://gdmltest.u-ga.fr/item/642/