35 citations · 85 across the 9 of their papers we have counts for
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math.CO2015★ 3 cited
A class of infinite convex geometries
Kira Adaricheva, J. B. Nation
Various characterizations of finite convex geometries are well known. This note provides similar characterizations for possibly infinite convex geometries whose lattice of closed s…
math.CO2013
Group Coding with Complex Isometries
Hye Jung Kim, J. B. Nation, Anne V. Shepler
We investigate group coding for arbitrary finite groups acting linearly on a vector space. These yield robust codes based on real or complex matrix groups. We give necessary and su…
math.CO2011★ 35 cited
Ordered direct implicational basis of a finite closure system
Kira Adaricheva, J. B. Nation, Robert Rand
Closure system on a finite set is a unifying concept in logic programming, relational data bases and knowledge systems. It can also be presented in the terms of finite lattices, an…