scholarly journals Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres

2008 ◽  
pp. 1-15
Author(s):  
Louis J. Billera ◽  
Samuel K. Hsiao ◽  
J. Scott Provan
Keyword(s):  
Convex Geometries

scholarly journals Impartial Achievement Games on Convex Geometries

2021 ◽  
pp. 101786
Author(s):  
Stephanie McCoy ◽  
Nándor Sieben
Keyword(s):  
Convex Geometries

scholarly journals Pruning processes and a new characterization of convex geometries

2009 ◽  
Vol 309 (10) ◽  
pp. 3083-3091 ◽  
Author(s):  
Federico Ardila ◽  
Elitza Maneva
Keyword(s):  
Convex Geometries

scholarly journals Decomposable Convexities in Graphs and Hypergraphs

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Francesco M. Malvestuto
Keyword(s):  
Convex Hull ◽  
Convex Sets ◽  
Nonempty Subset ◽  
Convex Set ◽  
Convex Geometry ◽  
Convexity Space ◽  
Vertex Set ◽  
Convex Geometries ◽  
Acyclic Hypergraph ◽  
Maximal Clusters

Given a connected hypergraph with vertex set V, a convexity space on is a subset of the powerset of V that contains ∅, V, and the singletons; furthermore, is closed under intersection and every set in is connected in . The members of are called convex sets. The convex hull of a subset X of V is the smallest convex set containing X. By a cluster of we mean any nonempty subset of V in which every two vertices are separated by no convex set. We say that a convexity space on is decomposable if it satisfies the following three axioms: (i) the maximal clusters of form an acyclic hypergraph, (ii) every maximal cluster of is a convex set, and (iii) for every nonempty vertex set X, a vertex does not belong to the convex hull of X if and only if it is separated from X by a convex cluster. We prove that a decomposable convexity space on is fully specified by the maximal clusters of in that (1) there is a closed formula which expresses the convex hull of a set in terms of certain convex clusters of and (2) is a convex geometry if and only if the subspaces of induced by maximal clusters of are all convex geometries. Finally, we prove the decomposability of some known convexities in graphs and hypergraphs taken from the literature (such as “monophonic” and “canonical” convexities in hypergraphs and “all-paths” convexity in graphs).

Convex Geometries

2016 ◽  
pp. 153-179 ◽  
Author(s):  
K. Adaricheva ◽  
J. B. Nation
Keyword(s):  
Convex Geometries

Steiner Trees and Convex Geometries

2009 ◽  
Vol 23 (2) ◽  
pp. 680-693 ◽  
Author(s):  
Morten H. Nielsen ◽  
Ortrud R. Oellermann
Keyword(s):  
Steiner Trees ◽  
Convex Geometries

VOFTools 5: An extension to non-convex geometries of calculation tools for volume of fluid methods

2020 ◽  
Vol 252 ◽  
pp. 107277
Author(s):  
Joaquín López ◽  
Julio Hernández ◽  
Pablo Gómez ◽  
Claudio Zanzi ◽  
Rosendo Zamora
Keyword(s):  
Volume Of Fluid ◽  
Convex Geometries

Numerical Simulation of a Slipper Model for Swash Plate Type Axial Piston Pumps and Motors: Effects of Concave and Convex Surface Geometry

2012 ◽  
Vol 6 (4) ◽  
pp. 434-439 ◽  
Author(s):  
Toshiharu Kazama ◽  
◽  
Yukihito Narita
Keyword(s):  
Convex Surface ◽  
Sliding Surface ◽  
Surface Geometry ◽  
Axial Piston Pumps ◽  
Swash Plate ◽  
Convex Geometries ◽  
Thrust Pad ◽  
Axial Piston ◽  
Plate Type ◽  
Load Conditions

In this study, the slipper of swash plate axial piston pumps and motors is modeled as a hybrid (hydrostatic and hydrodynamic) thrust pad bearing. The effects of the slightly concave and convex geometries of the slipper sliding surface are examined. The motion of the slipper model is numerically simulated, and its tribological characteristics are examined under eccentric and dynamic load conditions. The calculations under these conditions indicate that, for the concave slipper, the fluctuation of the bearing pad azimuth increases, and the attitude of the slipper becomes unstable. In contrast, for the convex slipper, the attitude becomes stable, but the clearance increases.

scholarly journals Matroids on convex geometries (cg-matroids)

2007 ◽  
Vol 307 (15) ◽  
pp. 1936-1950 ◽  
Author(s):  
Satoru Fujishige ◽  
Gleb A. Koshevoy ◽  
Yoshio Sano
Keyword(s):  
Convex Geometries

scholarly journals Join-semidistributive lattices and convex geometries

2003 ◽  
Vol 173 (1) ◽  
pp. 1-49 ◽  
Author(s):  
K.V. Adaricheva ◽  
V.A. Gorbunov ◽  
V.I. Tumanov
Keyword(s):  
Convex Geometries
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