11 papers
Planarity and dimension II
Heather S. Blake, Jędrzej Hodor, Piotr Micek +2
The dimension of a poset is the minimum positive integer such that is an induced subposet of equipped with the product order. We give a constant-factor p…
Navigating Posets with Few Maps
Stefan Felsner, Jędrzej Hodor, Giacomo Ortali +1
We study two new parameters for finite posets motivated by the problem of efficiently determining the set of successors of a given element. A plane map of a poset is a…
Sample compression schemes for balls in structurally sparse graphs
Romain Bourneuf, Jędrzej Hodor, Piotr Micek +1
Sample compression schemes were defined by Littlestone and Warmuth (1986) as an abstraction of the structure underlying many learning algorithms. In a sample compression scheme, we…
Centered colorings and weak coloring numbers in minor-closed graph classes
Jędrzej Hodor, Hoang La, Piotr Micek +1
Let be a proper minor-closed class of graphs. Given the minors excluded in , we determine the maximum -centered chromatic number and the maximum th…
A coarse Gallai theorem
Marc Distel, Ugo Giocanti, Jędrzej Hodor +2
We prove that there exist functions and such that for all positive integers and , for every graph and every subset of the vertices of , either contain…
Local dimension of a Boolean lattice
Jędrzej Hodor, Jakub Sordyl
For every integer with , we prove that the local dimension of a poset consisting of all the subsets of equipped with the inclusion relation is strictl…