{"title":"A Sufficient Condition for Graphic Sequences with Given Largest and Smallest Entries, Length, and Sum.","authors":"Brian Cloteaux","doi":"10.23638/DMTCS-20-1-25","DOIUrl":"https://doi.org/10.23638/DMTCS-20-1-25","url":null,"abstract":"<p><p>We give a sufficient condition for a nonnegative integer list to be graphic based on its largest and smallest elements, length, and sum. This bound generalizes a result of Zverovich and Zverovich.</p>","PeriodicalId":49214,"journal":{"name":"Discrete Mathematics and Theoretical Computer Science","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6463305/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37164060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}