20 citations · 41 across the 14 of their papers we have counts for
6 papers · 1 filter
A note and a short survey on supporting lines of compact convex sets in the plane
Gábor Czédli, László L. Stachó
After surveying some known properties of compact convex sets in the plane, we give a two rigorous proofs of the general feeling that supporting lines can be slide-turned slowly and…
Characterizing circles by a convex combinatorial property
Gábor Czédli
Let be a compact convex subset of the plane , and assume that is similar to , that is, is the image of with respect t…
An easy way to a theorem of Kira Adaricheva and Madina Bolat on convexity and circles
Gábor Czédli
Kira Adaricheva and Madina Bolat have recently proved that if and are circles in a triangle with vertices , then there exist and $k\in\{0,…
A concise approach to small generating sets of lattices of quasiorders and transitive relations
Gábor Czédli, Júlia Kulin
By H. Strietz, 1975, and G. Czédli, 1996, the complete lattice of all equivalences is four-generated, provided the size is an accessible cardinal. Results of I. Chaj…
Representing convex geometries by almost-circles
Gábor Czédli, János Kincses
Finite convex geometries are combinatorial structures. It follows from a recent result of M.\ Richter and L.G.\ Rogers that there is an infinite set of planar convex polyg…
Swing lattice game and a short proof of the swing lemma for planar semimodular lattices
Gábor Czédli, Géza Makay
The swing lemma, due to G. Grätzer for slim semimodular lattices and extended by G. Czédli and G. Grätzer for all planar semimodular lattices, describes the congruence generated by…