Oriented Interval Greedoids

被引：0

作者：

Franco Saliola

Hugh Thomas

机构：

[1] Université du Québec à Montréal,Département de Mathématiques

[2] University of New Brunswick,Department of Mathematics and Statistics

来源：

Discrete & Computational Geometry | 2012年 / 47卷

关键词：

Interval greedoid; Oriented matriod; Antimatroid; Convex geometry; Sphericity theorem; CW sphere;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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(1–3):123–137, 2008). As for oriented matroids, associated to each oriented interval greedoid is a spherical simplicial complex whose face enumeration depends only on the underlying interval greedoid.

引用

页码：64 / 105

页数：41

共 50 条

[41] Object-oriented interval-set concept lattices
Ma, Jianmin
Hu, Lingling
Qian, Yuhua
International Journal of Approximate Reasoning, 2019, 110 : 64 - 81
[42] Object-oriented interval-set concept lattices
Ma, Jianmin
Hu, Lingling
Qian, Yuhua
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2019, 110 : 64 - 81
[43] Indexing field values in field oriented systems: Interval quadtree
Kang, MA
Servigne, S
Li, KJ
Laurini, R
PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON INFORMATION KNOWLEDGE MANAGEMENT, CIKM'99, 1999, : 335 - 342
[44] THE PROFIT-ORIENTED INTERVAL CUTTING PROBLEM - MODEL AND STABILITY ANALYSIS
RICHTER, K
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 1992, 27 (02) : 127 - 133
[45] A METHOD FOR CONSTRUCTING CHERNOFF FACES ORIENTED TOWARD INTERVAL ESTIMATES OF THE PARAMETERS
KABULOV, BT
SOVIET JOURNAL OF COMPUTER AND SYSTEMS SCIENCES, 1992, 30 (03): : 94 - 97
[46] A Contextual Bandit Approach for Value-Oriented Prediction Interval Forecasting
Zhang, Yufan
Wen, Honglin
Wu, Qiuwei
IEEE TRANSACTIONS ON SMART GRID, 2024, 15 (02) : 2271 - 2281
[47] On the location of dayside magnetic reconnection during an interval of duskward oriented IMF
Wild, J. A.
Milan, S. E.
Davies, J. A.
Dunlop, M. W.
Wright, D. M.
Carr, C. M.
Balogh, A.
Reme, H.
Fazakerley, A. N.
Marchaudon, A.
ANNALES GEOPHYSICAE, 2007, 25 (01) : 219 - 238
[48] Triangle-free graphs with uniquely restricted maximum matchings and their corresponding greedoids
Levit, V. E.
Mandrescu, Eugen
DISCRETE APPLIED MATHEMATICS, 2007, 155 (18) : 2414 - 2425
[49] A geometric proof for the root-independence of the greedoid polynomial of Eulerian branching greedoids
Tothmeresz, Lilla
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2024, 206
[50] Interval Uncertainty-Oriented Optimal Control Method for Spacecraft Attitude Control
Yang, Chen
Xia, Yuanqing
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2023, 59 (05) : 5460 - 5471

← 1 2 3 4 5 →