{"title":"A note on succinct representations of graphs","authors":"Christos H. Papadimitriou, Mihalis Yannakakis","doi":"10.1016/S0019-9958(86)80009-2","DOIUrl":null,"url":null,"abstract":"<div><p>Galperin and Wigderson (<em>Inform. and Control</em> <strong>56</strong> (1983), 183–198) showed that certain trivial graph properties become NP-complete when the graph is represented in a particular exponentially succinct way. We show that under the same representation, graph properties that are ordinarily NP-complete become complete for non-deterministic exponential time.</p></div>","PeriodicalId":38164,"journal":{"name":"信息与控制","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1986-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0019-9958(86)80009-2","citationCount":"186","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"信息与控制","FirstCategoryId":"1093","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019995886800092","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 186
Abstract
Galperin and Wigderson (Inform. and Control56 (1983), 183–198) showed that certain trivial graph properties become NP-complete when the graph is represented in a particular exponentially succinct way. We show that under the same representation, graph properties that are ordinarily NP-complete become complete for non-deterministic exponential time.