Issue |
RAIRO-Oper. Res.
Volume 56, Number 4, July-August 2022
|
|
---|---|---|
Page(s) | 2181 - 2201 | |
DOI | https://doi.org/10.1051/ro/2022101 | |
Published online | 20 July 2022 |
Bounded-degree rooted tree and TDI-ness
1
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: jzhao1101@ccnu.edu.cn
Received:
21
July
2020
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
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