تقرير
Projective Rectangles: The Graph of Lines
| العنوان: | Projective Rectangles: The Graph of Lines |
|---|---|
| المؤلفون: | Flórez, Rigoberto, Zaslavsky, Thomas |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 51E26 (Primary) 51A30, 51A45 (Secondary) |
| الوصف: | A projective rectangle is like a projective plane that may have different lengths in two directions. We develop properties of the graph of lines, in which adjacency means having a common point, especially its strong regularity and clique structure. The main construction of projective rectangles, stated in a previous paper, gives rectangles whose graph of lines is a known strongly regular bilinear forms graph. That fact leads to a proof that the main construction does produce projective rectangles, and also gives a new representation of bilinear forms graphs. We conclude by mentioning a few simple graph properties, such as the chromatic number, which is not known, and a partial geometry obtained from the graph. Comment: 17 pp., 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.11285 |
| رقم الأكسشن: | edsarx.2407.11285 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |