Axiom of the Plane in a Descriptive Geometry of K-Spreads
β Scribed by Su Buchin
- Publisher
- John Wiley and Sons
- Year
- 1957
- Tongue
- English
- Weight
- 443 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
## Abstract A graph is walkβregular if the number of closed walks of length β rooted at a given vertex is a constant through all the vertices for all β. For a walkβregular graph __G__ with __d__+1 different eigenvalues and spectrally maximum diameter __D__=__d__, we study the geometry of its __d__β
## Abstract We prove that, in the framework of ordered geometry, the inner form of the Pasch axiom (**IP**) does not imply its outer form (**OP**). We also show that **OP** can be properly split into **IP** and the weak Pasch axiom (**WP**) (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
In one of his papers [2], A. Neumaier constructed a rank 4 incidence geometry on which the alternating group of degree 8 acts flag-transitively. This geometry is quite important since its point residue is the famous A 7 -geometry which is known to be the only flag-transitive locally classical C 3 -g