{"id":"https://openalex.org/W1575623070","doi":"https://doi.org/10.1007/978-3-540-78137-0_8","title":"The Number of Plane Diagrams of a Lattice","display_name":"The Number of Plane Diagrams of a Lattice","publication_year":2008,"publication_date":"2008-02-14","ids":{"openalex":"https://openalex.org/W1575623070","doi":"https://doi.org/10.1007/978-3-540-78137-0_8","mag":"1575623070"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-78137-0_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-78137-0_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5073397980","display_name":"Christian Zschalig","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Zschalig","raw_affiliation_strings":["Institut f\u00fcr Algebra, TU Dresden, Germany","Institut fur Algebra, TU Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, TU Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut fur Algebra, TU Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073397980"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"106","last_page":"123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9925000071525574,"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"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.7736727595329285},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.7309147119522095},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5820064544677734},{"id":"https://openalex.org/keywords/lattice-plane","display_name":"Lattice plane","score":0.5730233192443848},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5198879241943359},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.46786096692085266},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46548500657081604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42066490650177},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.282054603099823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26230061054229736},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2581513524055481},{"id":"https://openalex.org/keywords/reciprocal-lattice","display_name":"Reciprocal lattice","score":0.12338480353355408},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1125434935092926},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09204813838005066},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08249226212501526},{"id":"https://openalex.org/keywords/diffraction","display_name":"Diffraction","score":0.0562574565410614}],"concepts":[{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.7736727595329285},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.7309147119522095},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5820064544677734},{"id":"https://openalex.org/C122391093","wikidata":"https://www.wikidata.org/wiki/Q906368","display_name":"Lattice plane","level":4,"score":0.5730233192443848},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5198879241943359},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.46786096692085266},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46548500657081604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42066490650177},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.282054603099823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26230061054229736},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2581513524055481},{"id":"https://openalex.org/C89957378","wikidata":"https://www.wikidata.org/wiki/Q164129","display_name":"Reciprocal lattice","level":3,"score":0.12338480353355408},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1125434935092926},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09204813838005066},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08249226212501526},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.0562574565410614},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-78137-0_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-78137-0_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W99338136","https://openalex.org/W1481641433","https://openalex.org/W1503729935","https://openalex.org/W1558855755","https://openalex.org/W1977023954","https://openalex.org/W1985156927","https://openalex.org/W2042324334","https://openalex.org/W2060157138","https://openalex.org/W2077863743","https://openalex.org/W2154635726","https://openalex.org/W2172195537","https://openalex.org/W2325654786","https://openalex.org/W2396903734","https://openalex.org/W2788069309","https://openalex.org/W4237776730","https://openalex.org/W4246584577","https://openalex.org/W4255318870"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2371953206","https://openalex.org/W2006117736","https://openalex.org/W71032323","https://openalex.org/W3216105633","https://openalex.org/W2357388067","https://openalex.org/W2019085620","https://openalex.org/W3037552220","https://openalex.org/W2990956612","https://openalex.org/W2584131233"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
