{"title":"有重复的组合条形图","authors":"A. Blecher, A. Knopfmacher","doi":"10.47443/dml.2023.124","DOIUrl":null,"url":null,"abstract":"Generating functions that track some geometrical features of combinations with repetition are developed; namely, the semi-perimeter, inner site-perimeter, and outer site-perimeter, each of whose meanings depends on the interpretation of the combination as a bargraph. The paper has three theorems, which respectively give the total number for each of these statistics based on separate generating functions tracking these statistics","PeriodicalId":36023,"journal":{"name":"Discrete Mathematics Letters","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bargraphs of combinations with repetition\",\"authors\":\"A. Blecher, A. Knopfmacher\",\"doi\":\"10.47443/dml.2023.124\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Generating functions that track some geometrical features of combinations with repetition are developed; namely, the semi-perimeter, inner site-perimeter, and outer site-perimeter, each of whose meanings depends on the interpretation of the combination as a bargraph. The paper has three theorems, which respectively give the total number for each of these statistics based on separate generating functions tracking these statistics\",\"PeriodicalId\":36023,\"journal\":{\"name\":\"Discrete Mathematics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematics Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47443/dml.2023.124\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/dml.2023.124","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Generating functions that track some geometrical features of combinations with repetition are developed; namely, the semi-perimeter, inner site-perimeter, and outer site-perimeter, each of whose meanings depends on the interpretation of the combination as a bargraph. The paper has three theorems, which respectively give the total number for each of these statistics based on separate generating functions tracking these statistics
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