Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.26493/1855-3974.642.bbb | Ars Mathematica Contemporanea |
Field | DocType | Volume |
Combinatorics,Pure mathematics,Projective plane,Mathematics | Journal | 10 |
Issue | ISSN | Citations |
1 | Ars Math. Contemp., 10(1): 99-112, 2016 | 2 |
PageRank | References | Authors |
0.51 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jürgen Bokowski | 1 | 159 | 27.72 |
| Vincent Pilaud | 2 | 57 | 10.15 |