Constructing Copoint Graphs of Convex Geometries
Giana Cirulli, Sierra Knavel, E. Estrada · ValpoScholar (Valparaiso University) · 2018
We work with copoint graphs of convex geometries. Copoint graphs can be used to study the complex and fairly recent field of convex geometries. Comparing copoints graphs and their convex geometries helps identify properties. We demonstrate that multiple convex geometries have the same underlying copoint graph. All graphs on one to five vertices can be represented as possible copoint graphs of some convex geometry. Furthermore, we construct several infinite classes of copoint graphs including the complete k-partite graph, path graph, centipede graph, ladder graph, comb graph, pom pom graph, shark teeth graph, and broken wheel graph.