Convex geometries yielded by transit functions

Let \(V\) be a finite nonempty set. A transit function is a map \(R:V\times V\rightarrow 2^V\) such that \(R(u,u)=\{u\}\), \(R(u,v)=R(v,u)\) and \(u\in R(u,v)\) holds for every \(u,v\in V\). A set \(K\subseteq V\) is \(R\)-convex if \(R(u,v)\subset K\) for every \(u,v\in K\) and all \(R\)-convex sub...

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Bibliographic Details
Main Authors: Manoj Changat, Lekshmi Kamal K. Sheela, Iztok Peterin, Ameera Vaheeda Shanavas
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2025-07-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol45/4/art/opuscula_math_4520.pdf
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