Anon-realizable lopsided subset of the 7-cube
Abstract
A lopsided set is a subset of the vertices of the n-cube that has a combinatorial property shared by the collection of orthants intersected by a convex subset of
.The connection between lopsided sets and oriented matroids is exploited to obtain a lopsided subset of the 7-tube that cannot be realized as the collection of orthants intersected by a convex subset of
.
![R<sup>n</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/8709922046aaf17601461c6edd5c0c49.png)
![R<sup>7</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/d1a08ce0059930632a492092eb39c5e5.png)
DOI Code:
10.1285/i15900932v13n1p21
Full Text: PDF