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Minimal sets in finite rings

✍ Scribed by LeAnne Conaway; Keith A. Kearnes


Publisher
Springer
Year
2004
Tongue
English
Weight
379 KB
Volume
51
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES


Boolean Rings of Sets with Finite Subcov
✍ Alexander Abian πŸ“‚ Article πŸ“… 1970 πŸ› John Wiley and Sons 🌐 English βš– 105 KB πŸ‘ 1 views

Based on the above Definition, we prove the following Lemmas.

Largest minimal blocking sets in PG(2,8)
✍ J. BarΓ‘t; S. Innamorati πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 120 KB πŸ‘ 1 views

## Abstract Bruen and Thas proved that the size of a large minimal blocking set is bounded by $q \cdot {\sqrt{q}} + 1$. Hence, if __q__ = 8, then the maximal possible size is 23. Since 8 is not a square, it was conjectured that a minimal blocking 23‐set does not exist in PG(2,8). We show that this

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An \((m, n)\)-separator of an infinite graph \(\Gamma\) is a smallest finite set of vertices whose deletion leaves at least \(m\) finite components and at least \(n\) infinite components. It is shown that a vertex of \(\Gamma\) of finite valence belongs to only finitely many \((0,2)\)-separators. Va