{"title":"几何交图的参数化算法","authors":"Jie Xue , Meirav Zehavi","doi":"10.1016/j.cosrev.2025.100796","DOIUrl":null,"url":null,"abstract":"<div><div>We survey results on the parameterized complexity of various problems on geometric intersection graphs, particularly (unit) disk graphs. Specifically, we consider: (i) vertex-deletion, packing and pattern detection problems; (ii) <span>Independent Set</span> and <span>Dominating Set</span>; (iii) cut and connectivity problems; (iv) obstacle-removal problems. The discussions include introductions of some of the proof ideas and directions for future research.</div></div>","PeriodicalId":48633,"journal":{"name":"Computer Science Review","volume":"58 ","pages":"Article 100796"},"PeriodicalIF":12.7000,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parameterized algorithms on geometric intersection graphs\",\"authors\":\"Jie Xue , Meirav Zehavi\",\"doi\":\"10.1016/j.cosrev.2025.100796\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We survey results on the parameterized complexity of various problems on geometric intersection graphs, particularly (unit) disk graphs. Specifically, we consider: (i) vertex-deletion, packing and pattern detection problems; (ii) <span>Independent Set</span> and <span>Dominating Set</span>; (iii) cut and connectivity problems; (iv) obstacle-removal problems. The discussions include introductions of some of the proof ideas and directions for future research.</div></div>\",\"PeriodicalId\":48633,\"journal\":{\"name\":\"Computer Science Review\",\"volume\":\"58 \",\"pages\":\"Article 100796\"},\"PeriodicalIF\":12.7000,\"publicationDate\":\"2025-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computer Science Review\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1574013725000723\",\"RegionNum\":1,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Science Review","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1574013725000723","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
Parameterized algorithms on geometric intersection graphs
We survey results on the parameterized complexity of various problems on geometric intersection graphs, particularly (unit) disk graphs. Specifically, we consider: (i) vertex-deletion, packing and pattern detection problems; (ii) Independent Set and Dominating Set; (iii) cut and connectivity problems; (iv) obstacle-removal problems. The discussions include introductions of some of the proof ideas and directions for future research.
期刊介绍:
Computer Science Review, a publication dedicated to research surveys and expository overviews of open problems in computer science, targets a broad audience within the field seeking comprehensive insights into the latest developments. The journal welcomes articles from various fields as long as their content impacts the advancement of computer science. In particular, articles that review the application of well-known Computer Science methods to other areas are in scope only if these articles advance the fundamental understanding of those methods.