Volume 56, Number 4, July-August 2022
|Page(s)||2181 - 2201|
|Published online||20 July 2022|
Bounded-degree rooted tree and TDI-ness
LIMOS CNRS UMR 6158, Universite Clermont Auvergne, Clermont-Ferrand, France
2 Central China Normal University Wollongong Joint Institute, Faculty of Artificial Intelligence in Education, Central China Normal University, Wuhan 430079, P.R. China
* Corresponding author: email@example.com
Accepted: 14 June 2022
This paper contributes to the polyhedral aspect of the Maximum-Weight Bounded-Degree Rooted Tree Problem, where only edge-indexed variables are considered. An initial formulation is given, followed by an analysis of the dimension and a facial study for the polytope. Several families of new valid inequalities are proposed, which enables us to characterize the polytope on trees and cycles with a totally dual integral system.
Mathematics Subject Classification: 05C85 / 52B05 / 68R05 / 68W01
Key words: Bounded-Degree Rooted Tree / polytope / facets / Total Dual Integrality
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.