{"id":"https://openalex.org/W4390590012","doi":"https://doi.org/10.1007/s00453-026-01392-6","title":"Counting Polyominoes, Revisited","display_name":"Counting Polyominoes, Revisited","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4390590012","doi":"https://doi.org/10.1007/s00453-026-01392-6"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-026-01392-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-026-01392-6","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"book-chapter","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/A5059958789","display_name":"Gill Barequet","orcid":"https://orcid.org/0000-0001-7501-6240"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Gill Barequet","raw_affiliation_strings":["Department of Computer Science, The Technion\u2014Israel Institute of Technology, Haifa, 3200003, Israel","Dept. of Computer Science, Techion\u2014Israel Inst. of Technology, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The Technion\u2014Israel Institute of Technology, Haifa, 3200003, Israel","institution_ids":[]},{"raw_affiliation_string":"Dept. of Computer Science, Techion\u2014Israel Inst. of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048120884","display_name":"Gil Ben-Shachar","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Gil Ben-Shachar","raw_affiliation_strings":["Department of Computer Science, The Technion\u2014Israel Institute of Technology, Haifa, 3200003, Israel","Dept. of Computer Science, Techion\u2014Israel Inst. of Technology, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The Technion\u2014Israel Institute of Technology, Haifa, 3200003, Israel","institution_ids":[]},{"raw_affiliation_string":"Dept. of Computer Science, Techion\u2014Israel Inst. of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059958789"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.9903,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.9701796,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"88","issue":"3","first_page":"133","last_page":"143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9682999849319458,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9682999849319458,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9490000009536743,"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/T11106","display_name":"Data Management and Algorithms","score":0.9254000186920166,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/polyomino","display_name":"Polyomino","score":0.9971127510070801},{"id":"https://openalex.org/keywords/square-lattice","display_name":"Square lattice","score":0.7614961862564087},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7007033824920654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6957165002822876},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.5643984079360962},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5542654991149902},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.5025207996368408},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39474883675575256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1900121569633484},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18386495113372803},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.10379782319068909},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10007333755493164},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08355948328971863}],"concepts":[{"id":"https://openalex.org/C69919132","wikidata":"https://www.wikidata.org/wiki/Q1144819","display_name":"Polyomino","level":3,"score":0.9971127510070801},{"id":"https://openalex.org/C2777620828","wikidata":"https://www.wikidata.org/wiki/Q7582067","display_name":"Square lattice","level":3,"score":0.7614961862564087},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7007033824920654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6957165002822876},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.5643984079360962},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5542654991149902},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5025207996368408},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39474883675575256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1900121569633484},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18386495113372803},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.10379782319068909},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10007333755493164},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08355948328971863},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"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":2,"locations":[{"id":"doi:10.1007/s00453-026-01392-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-026-01392-6","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"doi:10.1137/1.9781611977929.10","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611977929.10","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 Proceedings of the Symposium on Algorithm Engineering and Experiments (ALENEX)","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8090643491","display_name":null,"funder_award_id":"2017684","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320308960","display_name":"United States - Israel Binational Science Foundation","ror":"https://ror.org/00j8z2m73"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1534927585","https://openalex.org/W1600835926","https://openalex.org/W1610677200","https://openalex.org/W1986330908","https://openalex.org/W2012068660","https://openalex.org/W2017287316","https://openalex.org/W2063682545","https://openalex.org/W2075741188","https://openalex.org/W2119324012","https://openalex.org/W2312413878","https://openalex.org/W2465012772","https://openalex.org/W2890439620","https://openalex.org/W3116149600","https://openalex.org/W4390590012"],"related_works":["https://openalex.org/W4288734188","https://openalex.org/W209156724","https://openalex.org/W2135008840","https://openalex.org/W148666007","https://openalex.org/W2103874366","https://openalex.org/W2572231869","https://openalex.org/W2962715651","https://openalex.org/W4390590012","https://openalex.org/W2049139273","https://openalex.org/W2088536379"],"abstract_inverted_index":{"A":[0],"polyomino":[1],"is":[2],"an":[3],"edge-connected":[4],"set":[5],"of":[6,34,48],"squares":[7],"on":[8,25,35],"the":[9,17,26,36,46],"square":[10,27],"lattice.":[11,39],"In":[12],"this":[13],"paper,":[14],"we":[15],"improve":[16],"Conway-Jensen":[18],"polyomino-counting":[19],"algorithm":[20],"by":[21,30],"considering":[22],"bounding":[23],"boxes":[24],"lattice":[28],"rotated":[29],"$$45^\\circ":[31],"$$":[32],"instead":[33],"regular":[37],"unrotated":[38],"This":[40],"allows":[41],"us":[42],"to":[43,52],"extend":[44],"significantly":[45],"count":[47],"polyominoes":[49],"from":[50],"56":[51],"70":[53],"terms.":[54]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-18T10:00:31.954636","created_date":"2025-10-10T00:00:00"}