3 citations · 4 across the 4 of their papers we have counts for
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On the -base of Finite Lattices: Semidistributive, Modular, and Geometric Lattices
Kira Adaricheva, Simon Vilmin
Implicational bases are a well-known representation of closure spaces and their closure lattices. This representation is not unique, though, and a closure space usually admits mult…
Description of closure operators in convex geometries of segments on a line
Kira Adaricheva, Gent Gjonbalaj
Convex geometry is a closure space with the anti-exchange property. A classical result of Edelman and Jamison (1985) claims that every finite convex geometry is a join of s…
On scattered convex geometries
Kira Adaricheva, Maurice Pouzet
A convex geometry is a closure space satisfying the anti-exchange axiom. For several types of algebraic convex geometries we describe when the collection of closed sets is order sc…
Stasheff polytope as a sublattice of permutohedron
Kira Adaricheva
An assosiahedron , known also as Stasheff polytope, is a multifaceted combinatorial object, which, in particular, can be realized as a convex hull of certain points…