Alexander M. Banaru, Daria A. Banaru, Sergey M. Aksenov
{"title":"分子间接触群及其模糊cayley图","authors":"Alexander M. Banaru, Daria A. Banaru, Sergey M. Aksenov","doi":"10.55959/msu0579-9384-2-2023-64-3-223-237","DOIUrl":null,"url":null,"abstract":"The article defi nes a group of intermolecular contacts for a monosystemic molecular structure described by one of the crystallographic symmetry groups (space, subperiodic, point) in n-dimensional Euclidean space with unoccupied special positions. The defi nition of a monoid of contacts for a polysystemic molecular structure is given. Crisp and fuzzy Cayley graphs of groups and monoids of contacts are constructed. Some examples of crystal structures are considered.","PeriodicalId":23660,"journal":{"name":"Vestnik Moskovskogo Universiteta Seriya 2 Khimiya","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"GROUPOID OF INTERMOLECULAR CONTACTS AND ITS FUZZY CAYLEY GRAPH\",\"authors\":\"Alexander M. Banaru, Daria A. Banaru, Sergey M. Aksenov\",\"doi\":\"10.55959/msu0579-9384-2-2023-64-3-223-237\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article defi nes a group of intermolecular contacts for a monosystemic molecular structure described by one of the crystallographic symmetry groups (space, subperiodic, point) in n-dimensional Euclidean space with unoccupied special positions. The defi nition of a monoid of contacts for a polysystemic molecular structure is given. Crisp and fuzzy Cayley graphs of groups and monoids of contacts are constructed. Some examples of crystal structures are considered.\",\"PeriodicalId\":23660,\"journal\":{\"name\":\"Vestnik Moskovskogo Universiteta Seriya 2 Khimiya\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vestnik Moskovskogo Universiteta Seriya 2 Khimiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55959/msu0579-9384-2-2023-64-3-223-237\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik Moskovskogo Universiteta Seriya 2 Khimiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55959/msu0579-9384-2-2023-64-3-223-237","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
GROUPOID OF INTERMOLECULAR CONTACTS AND ITS FUZZY CAYLEY GRAPH
The article defi nes a group of intermolecular contacts for a monosystemic molecular structure described by one of the crystallographic symmetry groups (space, subperiodic, point) in n-dimensional Euclidean space with unoccupied special positions. The defi nition of a monoid of contacts for a polysystemic molecular structure is given. Crisp and fuzzy Cayley graphs of groups and monoids of contacts are constructed. Some examples of crystal structures are considered.
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