{"title":"识别 X$ 连接的二元组图和二元组图的自形群","authors":"Rachel Barber, Ted Dobson, Gregory Robson","doi":"arxiv-2409.11092","DOIUrl":null,"url":null,"abstract":"We examine bicoset digraphs and their natural properties from the point of\nview of symmetry. We then consider connected bicoset digraphs that are\n$X$-joins with collections of empty graphs, and show that their automorphism\ngroups can be obtained from their natural irreducible quotients. We then show\nthat such digraphs can be recognized from their connection sets.","PeriodicalId":501407,"journal":{"name":"arXiv - MATH - Combinatorics","volume":"21 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Recognizing bicoset digraphs which are $X$-joins and automorphism groups of bicoset digraphs\",\"authors\":\"Rachel Barber, Ted Dobson, Gregory Robson\",\"doi\":\"arxiv-2409.11092\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We examine bicoset digraphs and their natural properties from the point of\\nview of symmetry. We then consider connected bicoset digraphs that are\\n$X$-joins with collections of empty graphs, and show that their automorphism\\ngroups can be obtained from their natural irreducible quotients. We then show\\nthat such digraphs can be recognized from their connection sets.\",\"PeriodicalId\":501407,\"journal\":{\"name\":\"arXiv - MATH - Combinatorics\",\"volume\":\"21 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.11092\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11092","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Recognizing bicoset digraphs which are $X$-joins and automorphism groups of bicoset digraphs
We examine bicoset digraphs and their natural properties from the point of
view of symmetry. We then consider connected bicoset digraphs that are
$X$-joins with collections of empty graphs, and show that their automorphism
groups can be obtained from their natural irreducible quotients. We then show
that such digraphs can be recognized from their connection sets.