Oriented Interval Greedoids

Details Oriented Interval Greedoids Oriented Interval Greedoids

2009-09-07

arxiv.org/abs/0909.1300v1

Mathematics

Combinatorics

41 pages, 8 figures

Scientific paper

We propose a definition of an "oriented interval greedoid" that simultaneously generalizes the notion of an oriented matroid and the construction on antimatroids introduced by L. J. Billera, S. K. Hsiao, and J. S. Provan in "Enumeration in convex geometries and associated polytopal subdivisions of spheres" [Discrete Comput. Geom. 39 (2008), no. 1-3, 123--137]. As for of oriented matroids, associated to each oriented interval greedoid is a spherical simplicial complex whose face enumeration depends only on the underlying interval greedoid.

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