Gábor Czédli

activity

20142024

most citedA new property of congruence lattices of slim, planar, semimodular lattices

9 citations · 12 across the 13 of their papers we have counts for

collaborators

Showing math.COShow all

5 papers · 1 filter

math.CO2024

Duality for pairs of upward bipolar plane graphs and submodule lattices

Gábor Czédli

Let $G$ and $H$ be acyclic, upward bipolarly oriented plane graphs with the same number $n$ of edges. While $G$ can symbolize a flow network, $H$ has only a controlling role. Let $…

math.CO2023

Minimum-sized generating sets of the direct powers of free distributive lattices

Gábor Czédli

For a finite lattice $L$ , let Gm( $L$ ) denote the least $n$ such that $L$ can be generated by $n$ elements. For integers $r > 2$ and $k > 1$ , denote by FD $(r)^{k}$ the $k$ -th direct power…

math.CO2023

Sperner theorems for unrelated copies of some partially ordered sets in a powerset lattice and minimum generating sets of powers of distributive lattices

Gábor Czédli

For a finite poset (partially ordered set) $U$ and a natural number $n$ , let Sp $(U, n)$ denote the largest number of pairwise unrelated copies of $U$ in the powerset lattice (AKA su…

math.CO2016★ 3 cited

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…

math.CO2016

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…