P. Healy, Pierre Laroche, Franc Marchetti, Sébastien Martin, Zsuzsanna Róka
{"title":"Exact and Heuristic Solutions to the Connected k-Partitioning Problem","authors":"P. Healy, Pierre Laroche, Franc Marchetti, Sébastien Martin, Zsuzsanna Róka","doi":"10.1109/CoDIT49905.2020.9263884","DOIUrl":null,"url":null,"abstract":"We study the problem of partitioning a graph into k connected components, which may also be referred to as the maximum k-cutset problem. Firstly, we present an exact algorithm and a variant, both implemented as integer linear programming (ILP) models. We then present a heuristic approach that will be seen to be extremely competitive with the exact algorithm for the ranges of graph under consideration.","PeriodicalId":355781,"journal":{"name":"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)","volume":"247 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CoDIT49905.2020.9263884","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We study the problem of partitioning a graph into k connected components, which may also be referred to as the maximum k-cutset problem. Firstly, we present an exact algorithm and a variant, both implemented as integer linear programming (ILP) models. We then present a heuristic approach that will be seen to be extremely competitive with the exact algorithm for the ranges of graph under consideration.