{"title":"Use of path matrices for a characterization of molecular structures","authors":"M. Randic, Xiaofeng Guo, S. Bobst","doi":"10.1090/dimacs/051/23","DOIUrl":"https://doi.org/10.1090/dimacs/051/23","url":null,"abstract":"","PeriodicalId":145977,"journal":{"name":"Discrete Mathematical Chemistry","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115209256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We determine the shape of large densest periodic packings of spheres with diierent radii. The density is measured by parametric density and the density deviation, which measures the average diierence between the density of nite and innnite packings. The asymptotic shapes are the Wull{ shapes, which are polytopes and good models for crystal shapes.
{"title":"The Wulff-shape of large periodic sphere packings","authors":"J. Wills","doi":"10.1090/dimacs/051/27","DOIUrl":"https://doi.org/10.1090/dimacs/051/27","url":null,"abstract":"We determine the shape of large densest periodic packings of spheres with diierent radii. The density is measured by parametric density and the density deviation, which measures the average diierence between the density of nite and innnite packings. The asymptotic shapes are the Wull{ shapes, which are polytopes and good models for crystal shapes.","PeriodicalId":145977,"journal":{"name":"Discrete Mathematical Chemistry","volume":"605 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116320977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Clar and Fries problems for benzenoid hydrocarbons are linear programs","authors":"H. Abeledo, Gary W. Atkinson","doi":"10.1090/dimacs/051/01","DOIUrl":"https://doi.org/10.1090/dimacs/051/01","url":null,"abstract":"","PeriodicalId":145977,"journal":{"name":"Discrete Mathematical Chemistry","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114976520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Geometric symmetry and chemical equivalence","authors":"B. Fan, A. Panaye, J. Yao, S. Yuan, J. Doucet","doi":"10.1090/dimacs/051/10","DOIUrl":"https://doi.org/10.1090/dimacs/051/10","url":null,"abstract":"","PeriodicalId":145977,"journal":{"name":"Discrete Mathematical Chemistry","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121496599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Geometry and energetics of high genus fullerenes and nanotubes","authors":"H. Maldonado, M. Maldonado","doi":"10.1090/dimacs/051/25","DOIUrl":"https://doi.org/10.1090/dimacs/051/25","url":null,"abstract":"","PeriodicalId":145977,"journal":{"name":"Discrete Mathematical Chemistry","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129287441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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