Geometric Realization of Simplicial Complexes

Ossona de Mendez, Patrice (1999) Geometric Realization of Simplicial Complexes. In: Graph Drawing 7th International Symposium, GD’99, September 15-19, 1999 , pp. 323-332(Official URL:

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We show that an abstract simplicial complex \Delta may be realized on a grid of \mathbb{R}^{d-1}, where d = dim P(\Delta) is the order dimension (Dushnik-Miller dimension) of the face poset of \Delta.

Item Type: Conference Paper
Additional Information: 10.1007/3-540-46648-7_33
Classifications: Z Theory > Z.250 Geometry

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