Extended Partial Geometries: Nets and Dual Nets
Extended partial geometries (EpGs) are natural generalisations of extended generalised quadrangles. We develop some general results for any EpG, and then consider the special cases of nets and dual nets in detail. Extended dual nets have diameter at most 2, and are almost characterised, with example...
Saved in:
| Published in | European journal of combinatorics Vol. 11; no. 4; pp. 357 - 372 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.07.1990
|
| Online Access | Get full text |
Cover
Loading…
| Summary: | Extended partial geometries (EpGs) are natural generalisations of extended generalised quadrangles. We develop some general results for any EpG, and then consider the special cases of nets and dual nets in detail. Extended dual nets have diameter at most 2, and are almost characterised, with examples, but extended nets are both more complex and perhaps more interesting: there are many examples, but also many open cases, and ‘reasonable’ conjectures. |
|---|---|
| ISSN: | 0195-6698 1095-9971 |
| DOI: | 10.1016/S0195-6698(13)80138-2 |