由浓缩六边形系统生成的超图

2017 7th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO) Pub Date : 2017-04-01 DOI:10.1109/ICMSAO.2017.7934924

Khaled Salem

{"title":"由浓缩六边形系统生成的超图","authors":"Khaled Salem","doi":"10.1109/ICMSAO.2017.7934924","DOIUrl":null,"url":null,"abstract":"It is shown that the hypergraph generated by a hexagonal system is conformal if and only if the hexagonal system is catacondensed. Also, it is shown that the chromatic index of the hypergraph generated by a catacondensed hexagonal system is five. Finally, a formula for the covering number of the hypergraph generated by a catacondensed hexagonal system is given.","PeriodicalId":265345,"journal":{"name":"2017 7th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO)","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The hypergraphs generated by catacondensed hexagonal systems\",\"authors\":\"Khaled Salem\",\"doi\":\"10.1109/ICMSAO.2017.7934924\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that the hypergraph generated by a hexagonal system is conformal if and only if the hexagonal system is catacondensed. Also, it is shown that the chromatic index of the hypergraph generated by a catacondensed hexagonal system is five. Finally, a formula for the covering number of the hypergraph generated by a catacondensed hexagonal system is given.\",\"PeriodicalId\":265345,\"journal\":{\"name\":\"2017 7th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO)\",\"volume\":\"46 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 7th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMSAO.2017.7934924\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 7th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMSAO.2017.7934924","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

证明了由六边形系统生成的超图是共形的当且仅当该六边形系统是缩合的。并证明了由缩合六边形系统生成的超图的色指数为5。最后，给出了由浓缩六边形系统生成的超图的覆盖数的计算公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

The hypergraphs generated by catacondensed hexagonal systems

It is shown that the hypergraph generated by a hexagonal system is conformal if and only if the hexagonal system is catacondensed. Also, it is shown that the chromatic index of the hypergraph generated by a catacondensed hexagonal system is five. Finally, a formula for the covering number of the hypergraph generated by a catacondensed hexagonal system is given.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2017 7th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO)

自引率

0.00%

发文量