{"title":"具有给定最大、最小项、长度和的图序列的一个充分条件。","authors":"Brian Cloteaux","doi":"10.23638/DMTCS-20-1-25","DOIUrl":null,"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":"20 ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6463305/pdf/","citationCount":"1","resultStr":"{\"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\":null,\"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\":\"20 \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6463305/pdf/\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematics and Theoretical Computer Science\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.23638/DMTCS-20-1-25\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, SOFTWARE ENGINEERING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics and Theoretical Computer Science","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.23638/DMTCS-20-1-25","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, SOFTWARE ENGINEERING","Score":null,"Total":0}
A Sufficient Condition for Graphic Sequences with Given Largest and Smallest Entries, Length, and Sum.
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.
期刊介绍:
DMTCS is a open access scientic journal that is online since 1998. We are member of the Free Journal Network.
Sections of DMTCS
Analysis of Algorithms
Automata, Logic and Semantics
Combinatorics
Discrete Algorithms
Distributed Computing and Networking
Graph Theory.