{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T15:59:04Z","timestamp":1648915144506},"reference-count":25,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2000,10,1]],"date-time":"2000-10-01T00:00:00Z","timestamp":970358400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":4672,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[2000,10]]},"DOI":"10.1016\/s0166-218x(00)00174-8","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T14:11:15Z","timestamp":1027606275000},"page":"225-237","source":"Crossref","is-referenced-by-count":2,"title":["Regular affine tilings and regular maps on a flat torus"],"prefix":"10.1016","volume":"105","author":[{"given":"J.M.","family":"Szucs","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.J.","family":"Klein","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0166-218X(00)00174-8_BIB1","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/0012-365X(72)90037-4","article-title":"Hamiltonian circuits in some maps on the torus","volume":"1","author":"Altshuler","year":"1972","journal-title":"Discrete Math."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB2","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/S0012-365X(73)80002-0","article-title":"Construction and enumeration of regular maps on the torus","volume":"4","author":"Altshuler","year":"1973","journal-title":"Discrete Math."},{"issue":"2","key":"10.1016\/S0166-218X(00)00174-8_BIB3","doi-asserted-by":"crossref","first-page":"1146","DOI":"10.1103\/PhysRevA.51.1146","article-title":"Tiling rules for toroidal molecules","volume":"51","author":"Avron","year":"1995","journal-title":"Phys. Rev. A"},{"key":"10.1016\/S0166-218X(00)00174-8_BIB4","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1021\/ci970057d","article-title":"A simple means of computing the Kekul\u00e9 structure count for toroidal polyhex fullerenes","volume":"38","author":"Cash","year":"1998","journal-title":"J. Chem. Inf. Comput. Sci."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB5","series-title":"Generators and relations for discrete groups","author":"Coxeter","year":"1980"},{"key":"10.1016\/S0166-218X(00)00174-8_BIB6","doi-asserted-by":"crossref","unstructured":"M.W. Davis, Regular convex cell complexes, in: C. McCrory, T. Shifrin (Eds.), Geometry and topology: manifolds, varieties, and knots, Lecture Notes in Pure and Applied Mathematics, vol. 105, Marcel Dekker, New York, 1987, pp. 53\u201388.","DOI":"10.1201\/9781003072386-7"},{"key":"10.1016\/S0166-218X(00)00174-8_BIB7","doi-asserted-by":"crossref","first-page":"113","DOI":"10.2307\/2007049","article-title":"Regular tessellations of surfaces and (p,q,2)-triangle groups","volume":"116","author":"Edmonds","year":"1982","journal-title":"Ann. Math."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB8","series-title":"Tilings and Patterns","author":"Gr\u00fcnbaum","year":"1987"},{"issue":"3","key":"10.1016\/S0166-218X(00)00174-8_BIB9","first-page":"435","article-title":"Kekul\u00e9 count in toroidal hexagonal carbon cages","volume":"71","author":"John","year":"1998","journal-title":"Croat. Chem. Acta"},{"key":"10.1016\/S0166-218X(00)00174-8_BIB10","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1112\/plms\/s3-37.2.273","article-title":"Theory of maps on orientable surfaces","volume":"37","author":"Jones","year":"1978","journal-title":"Proc. London Math. Soc."},{"issue":"1","key":"10.1016\/S0166-218X(00)00174-8_BIB11","first-page":"13","article-title":"Cylindrical and toroidal polyhex structures","volume":"66","author":"Kirby","year":"1993","journal-title":"Croat. Chem. Acta"},{"issue":"12","key":"10.1016\/S0166-218X(00)00174-8_BIB12","doi-asserted-by":"crossref","first-page":"1945","DOI":"10.1039\/ft9938901945","article-title":"Toroidal polyhexes","volume":"89","author":"Kirby","year":"1993","journal-title":"J. Chem. Soc. Faraday Trans."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB13","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1021\/ci970072i","article-title":"How to enumerate the connectional isomers of a toroidal polyhex fullerene","volume":"38","author":"Kirby","year":"1998","journal-title":"J. Chem. Inf. Comput. Sci."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB14","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1021\/ci00018a037","article-title":"Elemental benzenoids","volume":"34","author":"Klein","year":"1994","journal-title":"J. Chem. Inf. Comput. Sci."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB15","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/0166-218X(95)00017-L","article-title":"Resonance in elemental benzenoids","volume":"67","author":"Klein","year":"1996","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB16","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0012-365X(86)90029-4","article-title":"Enumeration of platonic maps on the torus","volume":"61","author":"Kurth","year":"1986","journal-title":"Discrete Math."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB17","doi-asserted-by":"crossref","first-page":"780","DOI":"10.1038\/385780b0","article-title":"Fullerene \u2018crop circles\u2019","volume":"385","author":"Liu","year":"1997","journal-title":"Nature"},{"key":"10.1016\/S0166-218X(00)00174-8_BIB18","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1006\/aima.1996.0002","article-title":"Higher toroidal regular polytopes","volume":"117","author":"McMullen","year":"1996","journal-title":"Adv. Math."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB19","unstructured":"P. McMullen, E. Schulte, Abstract regular polytopes (monograph), in preparation."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB20","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0012-365X(83)90057-2","article-title":"Uniqueness and faithfulness of embeddings of toroidal graphs","volume":"44","author":"Negami","year":"1983","journal-title":"Discrete Math."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB21","series-title":"Integral matrices","author":"Newman","year":"1972"},{"key":"10.1016\/S0166-218X(00)00174-8_BIB22","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1021\/ci00018a034","article-title":"Graph theoretical means for calculating Kekul\u00e9 and H\u00fcckel parameters in benzenoid and related systems","volume":"34","author":"Sachs","year":"1994","journal-title":"J. Chem. Inf. Comput. Sci."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB23","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1021\/ja00212a020","article-title":"Elemental carbon cages","volume":"110","author":"Schmalz","year":"1988","journal-title":"J. Am. Chem. Soc."},{"key":"10.1016\/S0166-218X(00)00174-8_BIB24","series-title":"Classical Topology and Combinatorial Group Theory","author":"Stillwell","year":"1980"},{"issue":"2","key":"10.1016\/S0166-218X(00)00174-8_BIB25","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1090\/S0002-9947-1991-1040045-3","article-title":"Tilings of the torus and the Klein bottle and vertex-transitive graphs on a fixed surface","volume":"323","author":"Thomassen","year":"1991","journal-title":"Trans. Amer. Math. Soc."}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X00001748?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X00001748?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,5,6]],"date-time":"2021-05-06T23:29:42Z","timestamp":1620343782000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0166218X00001748"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,10]]},"references-count":25,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2000,10]]}},"alternative-id":["S0166218X00001748"],"URL":"https:\/\/doi.org\/10.1016\/s0166-218x(00)00174-8","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[2000,10]]}}}