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On the zone of a surface in a hyperplane arrangement

✍ Scribed by Boris Aronov; Marco Pellegrini; Micha Sharir


Publisher
Springer
Year
1993
Tongue
English
Weight
685 KB
Volume
9
Category
Article
ISSN
0179-5376

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A Class of Labeled Posets and the Shi Ar
✍ Christos A Athanasiadis πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 244 KB

We consider the class P n of labeled posets on n elements which avoid certain three-element induced subposets. We show that the number of posets in P n is (n+1) n&1 by exploiting a bijection between P n and the set of regions of the arrangement of hyperplanes in R n of the form x i &x j =0 or 1 for