Directed tree decompositions

Research output: Contribution to book/Conference proceedings/Anthology/ReportConference contributionContributedpeer-review

Contributors

Abstract

In the problem session of the ICFCA 2006, Sándor Radeleczki asked for the meaning of the smallest integer k such that a given poset can be decomposed as the union of k directed trees. The problem also asks for the connection of this number to the order dimension. Since it was left open what kind of decomposition might be used, there is more than one reading of this problem. In the paper, we discuss different versions and give some answers to this open problem.

Details

Original languageEnglish
Title of host publicationFormal Concept Analysis - 12th International Conference, ICFCA 2014, Proceedings
PublisherSpringer-Verlag
Pages80-95
Number of pages16
ISBN (print)9783319072470
Publication statusPublished - 2014
Peer-reviewedYes

Publication series

SeriesLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8478 LNAI
ISSN0302-9743

Conference

Title12th International Conference on Formal Concept Analysis, ICFCA 2014
Duration10 - 13 June 2014
CityCluj-Napoca
CountryRomania

Keywords

Keywords

  • directed tree, order dimension, poset decomposition