{"title":"Super-stable common independent sets of generalized matroids","authors":"Naoyuki Kamiyama","doi":"10.1016/j.orl.2025.107248","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we consider the problem of checking the existence of a super-stable common independent set of generalized matroids. We prove that this problem can be solved by slightly modifying the algorithm proposed by Yokoi for the problem of checking the existence of a stable common independent set of generalized matroids.</div></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"60 ","pages":"Article 107248"},"PeriodicalIF":0.8000,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Letters","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167637725000094","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we consider the problem of checking the existence of a super-stable common independent set of generalized matroids. We prove that this problem can be solved by slightly modifying the algorithm proposed by Yokoi for the problem of checking the existence of a stable common independent set of generalized matroids.
期刊介绍:
Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.