{"id":"https://openalex.org/W2156925443","doi":"https://doi.org/10.4230/lipics.swat.2026.24","title":"An Extension of Parikh's Theorem beyond Idempotence","display_name":"An Extension of Parikh's Theorem beyond Idempotence","publication_year":2011,"publication_date":"2011-12-13","ids":{"openalex":"https://openalex.org/W2156925443","doi":"https://doi.org/10.4230/lipics.swat.2026.24","mag":"2156925443"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1112.2864","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1112.2864","pdf_url":"https://arxiv.org/pdf/1112.2864","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1112.2864","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008144501","display_name":"Michael Luttenberger","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Luttenberger, Michael","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Schlund, Maximilian","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schlund, Maximilian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008144501"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1614,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.54864291,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10908","display_name":"Analytical Chemistry and Chromatography","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10908","display_name":"Analytical Chemistry and Chromatography","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10519","display_name":"Advanced Proteomics Techniques and Applications","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/semiring","display_name":"Semiring","score":0.8202674984931946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7287013530731201},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6336358785629272},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5830633044242859},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.5442732572555542},{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.5309455394744873},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4753127694129944},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.463184118270874},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.43595778942108154},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.32854774594306946},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3239631950855255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11195114254951477}],"concepts":[{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.8202674984931946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7287013530731201},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6336358785629272},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5830633044242859},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.5442732572555542},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.5309455394744873},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4753127694129944},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.463184118270874},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.43595778942108154},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.32854774594306946},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3239631950855255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11195114254951477},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:1112.2864","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1112.2864","pdf_url":"https://arxiv.org/pdf/1112.2864","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:26060","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SWAT.2026.24","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol370-swat2026/LIPIcs.SWAT.2026.24/LIPIcs.SWAT.2026.24.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"doi:10.48550/arxiv.1112.2864","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1112.2864","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.4230/lipics.swat.2026.24","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.swat.2026.24","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1112.2864","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1112.2864","pdf_url":"https://arxiv.org/pdf/1112.2864","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"score":0.5299999713897705,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W57055105","https://openalex.org/W1485757985","https://openalex.org/W1517554512","https://openalex.org/W1578332044","https://openalex.org/W1958977473","https://openalex.org/W1987028886","https://openalex.org/W1993284672","https://openalex.org/W2002309677","https://openalex.org/W2008913431","https://openalex.org/W2033405938","https://openalex.org/W2038925304","https://openalex.org/W2045173200","https://openalex.org/W2064972007","https://openalex.org/W2065290848","https://openalex.org/W2073779224","https://openalex.org/W2096801634","https://openalex.org/W2102924625","https://openalex.org/W2108374029","https://openalex.org/W2126229758","https://openalex.org/W2139929430","https://openalex.org/W2151606606","https://openalex.org/W2160650760","https://openalex.org/W2167685423","https://openalex.org/W2168377292","https://openalex.org/W2293299776"],"related_works":["https://openalex.org/W2373496770","https://openalex.org/W1981365019","https://openalex.org/W2365154421","https://openalex.org/W4385681521","https://openalex.org/W2356435810","https://openalex.org/W4226452061","https://openalex.org/W4367694502","https://openalex.org/W1522032747","https://openalex.org/W122587815","https://openalex.org/W193695430"],"abstract_inverted_index":{"Eppstein,":[0],"Goodrich,":[1],"and":[2,13,40,70],"Liu":[3],"[ESA":[4],"2025]":[5],"introduced":[6],"a":[7,48,59,88,93],"new":[8],"graph":[9,31,38,91],"parameter,":[10],"called":[11],"BFS-width,":[12],"gave":[14],"polylogarithmic":[15],"bounds":[16,24,74],"on":[17,63],"it":[18],"for":[19,47,86],"bounded":[20,54,67,89],"bandwidth":[21],"graphs.":[22,56],"Their":[23],"naturally":[25],"imply":[26],"several":[27],"applications,":[28],"e.g.":[29],"in":[30],"reconstruction":[32],"via":[33],"shortest":[34,97],"path":[35,98],"distance":[36,99],"queries,":[37],"drawing,":[39],"matrix":[41],"reordering.":[42],"We":[43,57],"study":[44],"this":[45],"parameter":[46],"broader":[49],"class":[50],"of":[51,66,96],"graphs,":[52],"namely":[53],"cutwidth":[55,68,90],"prove":[58],"sublinear":[60],"upper":[61,79],"bound":[62,80],"the":[64,82],"BFS-width":[65],"graphs":[69],"show":[71],"that":[72],"our":[73],"are":[75],"asymptotically":[76],"tight.":[77],"Our":[78],"implies":[81],"first":[83],"deterministic":[84],"algorithm":[85],"reconstructing":[87],"with":[92],"subquadratic":[94],"number":[95],"queries.":[100]},"counts_by_year":[{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-18T10:00:31.954636","created_date":"2016-06-24T00:00:00"}
