{"title":"固定顶点集上的多集论图的度量","authors":"Ray-Ming Chen","doi":"10.1145/3409915.3409917","DOIUrl":null,"url":null,"abstract":"In this article, we show how to define distance functions for multi-edged graphs, either with vertices being labelled or unlabelled. These metrics are constructed mainly based on the minimal matching for multi-sets. In the end, we implement such metrics based on adjacent matrices. These metrics provide some important applications in the real world.","PeriodicalId":114746,"journal":{"name":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Metrics for Multi-Set-Theoretic Graphs over Fixed Set of Vertices\",\"authors\":\"Ray-Ming Chen\",\"doi\":\"10.1145/3409915.3409917\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we show how to define distance functions for multi-edged graphs, either with vertices being labelled or unlabelled. These metrics are constructed mainly based on the minimal matching for multi-sets. In the end, we implement such metrics based on adjacent matrices. These metrics provide some important applications in the real world.\",\"PeriodicalId\":114746,\"journal\":{\"name\":\"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3409915.3409917\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2020 3rd International Conference on Mathematics and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3409915.3409917","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Metrics for Multi-Set-Theoretic Graphs over Fixed Set of Vertices
In this article, we show how to define distance functions for multi-edged graphs, either with vertices being labelled or unlabelled. These metrics are constructed mainly based on the minimal matching for multi-sets. In the end, we implement such metrics based on adjacent matrices. These metrics provide some important applications in the real world.