{"id":"https://openalex.org/W2008081984","doi":"https://doi.org/10.1016/0012-365x(95)00354-y","title":"On sublattices of the hexagonal lattice","display_name":"On sublattices of the hexagonal lattice","publication_year":1997,"publication_date":"1997-06-01","ids":{"openalex":"https://openalex.org/W2008081984","doi":"https://doi.org/10.1016/0012-365x(95)00354-y","mag":"2008081984"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(95)00354-y","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(95)00354-y","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007259717","display_name":"M. Bernstein","orcid":null},"institutions":[{"id":"https://openalex.org/I73544541","display_name":"Mathematical Sciences Research Institute","ror":"https://ror.org/05hs5r386","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I73544541"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Bernstein","raw_affiliation_strings":["Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA","Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA","institution_ids":["https://openalex.org/I73544541"]},{"raw_affiliation_string":"Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA#TAB#","institution_ids":["https://openalex.org/I73544541"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005915779","display_name":"N. J. A. Sloane","orcid":"https://orcid.org/0000-0001-7386-5222"},"institutions":[{"id":"https://openalex.org/I73544541","display_name":"Mathematical Sciences Research Institute","ror":"https://ror.org/05hs5r386","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I73544541"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"N.J.A. Sloane","raw_affiliation_strings":["Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA","Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA","institution_ids":["https://openalex.org/I73544541"]},{"raw_affiliation_string":"Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA#TAB#","institution_ids":["https://openalex.org/I73544541"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108373126","display_name":"Paul E. Wright","orcid":null},"institutions":[{"id":"https://openalex.org/I73544541","display_name":"Mathematical Sciences Research Institute","ror":"https://ror.org/05hs5r386","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I73544541"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul E. Wright","raw_affiliation_strings":["Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA","Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA","institution_ids":["https://openalex.org/I73544541"]},{"raw_affiliation_string":"Mathematical Sciences Research Center, AT&T Research Laboratories, Murray Hill, NJ 07974, USA#TAB#","institution_ids":["https://openalex.org/I73544541"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005915779"],"corresponding_institution_ids":["https://openalex.org/I73544541"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":1.4144,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.82531495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"170","issue":"1-3","first_page":"29","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9089999794960022,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9089999794960022,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.795508861541748},{"id":"https://openalex.org/keywords/hexagonal-crystal-system","display_name":"Hexagonal crystal system","score":0.743229329586029},{"id":"https://openalex.org/keywords/hexagonal-lattice","display_name":"Hexagonal lattice","score":0.7342062592506409},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6959794759750366},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6725039482116699},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5970786809921265},{"id":"https://openalex.org/keywords/sphere-packing","display_name":"Sphere packing","score":0.4179309010505676},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3652859628200531},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.3188508152961731},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15667864680290222},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.11392292380332947},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09565424919128418},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07478839159011841}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.795508861541748},{"id":"https://openalex.org/C128765274","wikidata":"https://www.wikidata.org/wiki/Q663314","display_name":"Hexagonal crystal system","level":2,"score":0.743229329586029},{"id":"https://openalex.org/C90626534","wikidata":"https://www.wikidata.org/wiki/Q4523381","display_name":"Hexagonal lattice","level":3,"score":0.7342062592506409},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6959794759750366},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6725039482116699},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5970786809921265},{"id":"https://openalex.org/C183893376","wikidata":"https://www.wikidata.org/wiki/Q900117","display_name":"Sphere packing","level":2,"score":0.4179309010505676},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3652859628200531},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3188508152961731},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15667864680290222},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.11392292380332947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09565424919128418},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07478839159011841},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(95)00354-y","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(95)00354-y","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W324457701","https://openalex.org/W1589700598","https://openalex.org/W1974731924","https://openalex.org/W1974881574","https://openalex.org/W1995990042","https://openalex.org/W1998847779","https://openalex.org/W2010313153","https://openalex.org/W2022850218","https://openalex.org/W2029921432","https://openalex.org/W2056007801","https://openalex.org/W2062984219","https://openalex.org/W2071238091","https://openalex.org/W2100955645","https://openalex.org/W2109030639","https://openalex.org/W2136295887","https://openalex.org/W2335476080","https://openalex.org/W2487302930","https://openalex.org/W2491759990","https://openalex.org/W2978787595","https://openalex.org/W6635119813","https://openalex.org/W6649822773","https://openalex.org/W6664595921","https://openalex.org/W6674996603","https://openalex.org/W6680782399"],"related_works":["https://openalex.org/W4245323918","https://openalex.org/W4206218305","https://openalex.org/W2048324641","https://openalex.org/W2087433219","https://openalex.org/W2161086483","https://openalex.org/W3100111582","https://openalex.org/W2021251948","https://openalex.org/W2022105705","https://openalex.org/W2501825594","https://openalex.org/W3039652863"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}