Nonstandard Transfinite Digraphs
| dc.creator | Zemanian, A. H. | |
| dc.date | 2009-04-27 | |
| dc.date.accessioned | 2026-07-07T13:08:58Z | |
| dc.date.available | 2026-07-07T13:08:58Z | |
| dc.description | Nonstandard digraphs and transfinite digraphs have been defined and examined in two prior technical reports. The present work examines digraphs that are both nonstandard and transfinite. This requires a combination in certain ways of the techniques used in the prior two works. We first construct herein nonstandard transfinite digraphs for all the natural-number ranks. Then, a special kind of nonstandard transfinite digraph having the "arrow rank" $\vecω$ needs to be constructed. Once this is done, the first limit-ordinal rank $ω$ can be attained. This procedure can be continued on to still higher ranks. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0904.4168 | |
| dc.identifier | http://arxiv.org/abs/0904.4168 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228593 | |
| dc.subject | Combinatorics | |
| dc.subject | 05C99 | |
| dc.title | Nonstandard Transfinite Digraphs | |
| dc.type | text |