{"id":"https://openalex.org/W4287173690","doi":"https://doi.org/10.57717/cgt.v1i1.4","title":"On the Pathwidth of Hyperbolic 3-Manifolds","display_name":"On the Pathwidth of Hyperbolic 3-Manifolds","publication_year":2021,"publication_date":"2021-10-25","ids":{"openalex":"https://openalex.org/W4287173690","doi":"https://doi.org/10.57717/cgt.v1i1.4"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-03373577v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03373577","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"https://www.cgt-journal.org/","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03373577","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062642592","display_name":"Krist\u00f3f Husz\u00e1r","orcid":"https://orcid.org/0000-0002-5445-5057"},"institutions":[{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Husz\u00e1r, Krist\u00f3f","raw_affiliation_strings":["DATASHAPE - Understanding the Shape of Data (Inria Saclay\r\n1, rue Honor\u00e9 d\u2019Estienne d\u2019Orves\r\n91120 Palaiseau - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DATASHAPE - Understanding the Shape of Data (Inria Saclay\r\n1, rue Honor\u00e9 d\u2019Estienne d\u2019Orves\r\n91120 Palaiseau - France)","institution_ids":["https://openalex.org/I4210126360"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062642592"],"corresponding_institution_ids":["https://openalex.org/I4210126360"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.29404397,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11567","display_name":"semigroups and automata theory","score":0.9700000286102295,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6599705815315247},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.49896740913391113},{"id":"https://openalex.org/keywords/hyperbolic-manifold","display_name":"Hyperbolic manifold","score":0.4929358959197998},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48398423194885254},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4485361874103546},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4370633661746979},{"id":"https://openalex.org/keywords/3-manifold","display_name":"3-manifold","score":0.413519948720932},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3788241744041443},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29956504702568054},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2088732123374939},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.20698827505111694}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6599705815315247},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.49896740913391113},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.4929358959197998},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48398423194885254},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4485361874103546},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4370633661746979},{"id":"https://openalex.org/C191403955","wikidata":"https://www.wikidata.org/wiki/Q526901","display_name":"3-manifold","level":2,"score":0.413519948720932},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3788241744041443},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29956504702568054},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2088732123374939},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.20698827505111694},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:HAL:hal-03373577v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03373577","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"https://www.cgt-journal.org/","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:f1bd6cccf630487c9ade413b93ee7ce0","is_oa":false,"landing_page_url":"https://doaj.org/article/f1bd6cccf630487c9ade413b93ee7ce0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing in Geometry and Topology, Vol 1, Iss 1 (2022)","raw_type":"article"},{"id":"doi:10.57717/cgt.v1i1.4","is_oa":true,"landing_page_url":"https://doi.org/10.57717/cgt.v1i1.4","pdf_url":null,"source":{"id":"https://openalex.org/S7407053285","display_name":"Computing in Geometry and Topology","issn_l":null,"issn":null,"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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03373577v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03373577","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"https://www.cgt-journal.org/","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2113015678","display_name":"3IA C\u00f4te d'Azur","funder_award_id":"ANR-19-P3IA-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2197754321","display_name":"Algorithmic and combinatorial aspects of knot theory","funder_award_id":"ANR-20-CE48-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4301110675","https://openalex.org/W2329586347","https://openalex.org/W2767454672","https://openalex.org/W2771650160","https://openalex.org/W4287753806","https://openalex.org/W1964593314","https://openalex.org/W1847713966","https://openalex.org/W2245551571","https://openalex.org/W4300437059","https://openalex.org/W2951128818"],"abstract_inverted_index":{"According":[0],"to":[1],"Mostow's":[2],"celebrated":[3],"rigidity":[4],"theorem,":[5],"the":[6,20,43,89,98,101,114,132,149,153],"geometry":[7],"of":[8,22,35,46,69,100,104,122,135,143,152],"closed":[9,56],"hyperbolic":[10,57,136],"3-manifolds":[11],"is":[12,25],"already":[13],"determined":[14],"by":[15,42,86],"their":[16],"topology.":[17],"In":[18],"particular,":[19],"volume":[21,61,90],"such":[23],"manifolds":[24],"a":[26,39,64,92,120],"topological":[27],"invariant":[28],"and,":[29],"as":[30],"such,":[31],"has":[32],"been":[33],"subject":[34],"investigations":[36],"for":[37,75],"half":[38],"century.":[40],"Motivated":[41],"algorithmic":[44,150],"study":[45],"3-manifolds,":[47],"Maria":[48],"and":[49,131,146],"Purcell":[50],"have":[51],"recently":[52],"shown":[53],"that":[54,88],"every":[55],"3-manifold":[58,125],"M":[59],"with":[60,66],"vol(M)":[62],"admits":[63],"triangulation":[65],"dual":[67,102],"graph":[68,103],"treewidth":[70],"at":[71],"most":[72],"C":[73],"vol(M),":[74],"some":[76,105],"universal":[77],"constant":[78],"C.":[79],"Here":[80],"we":[81],"improve":[82],"on":[83,97,119],"this":[84,144],"result":[85],"showing":[87],"provides":[91],"linear":[93],"upper":[94],"bound":[95],"even":[96],"pathwidth":[99],"triangulation,":[106],"which":[107],"can":[108],"potentially":[109],"be":[110],"much":[111],"larger":[112],"than":[113],"treewidth.":[115],"Our":[116],"proof":[117],"relies":[118],"synthesis":[121],"tools":[123],"from":[124],"theory:":[126],"generalized":[127],"Heegaard":[128],"splittings,":[129],"amalgamations,":[130],"thick-thin":[133],"decomposition":[134],"3-manifolds.":[137],"We":[138],"provide":[139],"an":[140],"illustrated":[141],"exposition":[142],"toolbox":[145],"also":[147],"discuss":[148],"consequences":[151],"result.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2022-07-25T00:00:00"}
