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On the Topological Properties of Quantized Spaces, II. Connectivity and Order of Connectivity

✍ Scribed by Mylopoulos, J. P.; Pavlidis, T.

Book ID
121529853
Publisher
Association for Computing Machinery
Year
1971
Tongue
English
Weight
496 KB
Volume
18
Category
Article
ISSN
0004-5411

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✍ Wojciech Kordecki; Tomasz Łuczak πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 628 KB

It is shown that with probability tending to 1 as r --+ 00 a random subset o,(n) of n elements of the projective space PG(r -1, q) becomes k-connected when n = r + (k -1) log, r + 0( 1). Furthermore, the cyclic structure of w,(n) is considered, and a similar very sharp threshold for the existence of