{"id":"https://openalex.org/W2965517162","doi":"https://doi.org/10.1145/3501303","title":"Computing the Inverse Geodesic Length in Planar Graphs and Graphs of Bounded Treewidth","display_name":"Computing the Inverse Geodesic Length in Planar Graphs and Graphs of Bounded Treewidth","publication_year":2022,"publication_date":"2022-03-04","ids":{"openalex":"https://openalex.org/W2965517162","doi":"https://doi.org/10.1145/3501303","mag":"2965517162"},"language":"en","primary_location":{"id":"doi:10.1145/3501303","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3501303","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5034923438","display_name":"Sergio Cabello","orcid":"https://orcid.org/0000-0002-3183-4126"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I4210106342","display_name":"Institute of Mathematics, Physics, and Mechanics","ror":"https://ror.org/01eb3qa50","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210106342"]}],"countries":["SI"],"is_corresponding":true,"raw_author_name":"Sergio Cabello","raw_affiliation_strings":["University of Ljubljana, Slovenia and Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia"],"affiliations":[{"raw_affiliation_string":"University of Ljubljana, Slovenia and Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210106342","https://openalex.org/I153976015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034923438"],"corresponding_institution_ids":["https://openalex.org/I153976015","https://openalex.org/I4210106342"],"apc_list":null,"apc_paid":null,"fwci":0.1461,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.42286361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":"2","first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T11476","display_name":"Graph theory and applications","score":0.9948999881744385,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9925000071525574,"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/combinatorics","display_name":"Combinatorics","score":0.8001095056533813},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.7898104190826416},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.7757795453071594},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7634187936782837},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7376360893249512},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6069526672363281},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5348604321479797},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.4379490911960602},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.4358232021331787},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.41856855154037476},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40033766627311707},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3859637379646301},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.37493395805358887},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.24201297760009766},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12518462538719177},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1045311987400055},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.09129416942596436},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07348513603210449}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8001095056533813},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.7898104190826416},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.7757795453071594},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7634187936782837},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7376360893249512},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6069526672363281},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5348604321479797},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.4379490911960602},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.4358232021331787},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.41856855154037476},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40033766627311707},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3859637379646301},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.37493395805358887},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.24201297760009766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12518462538719177},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1045311987400055},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.09129416942596436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07348513603210449},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3501303","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3501303","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G810079142","display_name":null,"funder_award_id":"program P1-0297 and projects J1-9109, J1-8130, J1-8155, J1-1693, J1-2452","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"}],"funders":[{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W623814603","https://openalex.org/W1562183207","https://openalex.org/W1979836315","https://openalex.org/W2006052322","https://openalex.org/W2028558845","https://openalex.org/W2047489708","https://openalex.org/W2059372025","https://openalex.org/W2060464767","https://openalex.org/W2065759448","https://openalex.org/W2076274021","https://openalex.org/W2087083200","https://openalex.org/W2113567385","https://openalex.org/W2128831569","https://openalex.org/W2159205115","https://openalex.org/W2166242192","https://openalex.org/W2293041988","https://openalex.org/W2313886575","https://openalex.org/W2762935521","https://openalex.org/W2768149714","https://openalex.org/W2903797494","https://openalex.org/W2962913133","https://openalex.org/W2964055350","https://openalex.org/W2991204123","https://openalex.org/W3011484032","https://openalex.org/W3140470499","https://openalex.org/W3162131094","https://openalex.org/W4206206918","https://openalex.org/W4243936346","https://openalex.org/W4251391716"],"related_works":["https://openalex.org/W1976784955","https://openalex.org/W2029854525","https://openalex.org/W3037533092","https://openalex.org/W1585579706","https://openalex.org/W1480846237","https://openalex.org/W2012687409","https://openalex.org/W2567822775","https://openalex.org/W2111290740","https://openalex.org/W2133160845","https://openalex.org/W4302786124"],"abstract_inverted_index":{"The":[0],"inverse":[1,13,56,89],"geodesic":[2,57,90],"length":[3,58,91],"of":[4,11,14,20,23,40,59,92,120,133],"a":[5],"graph":[6],"G":[7,24,47,60,77,93],"is":[8,30,48],"the":[9,12,15,33,37,41,55,88,118,121],"sum":[10,119],"distances":[16],"between":[17],"all":[18],"pairs":[19],"distinct":[21],"vertices":[22,80],".":[25],"In":[26,109],"some":[27],"domains,":[28],"it":[29],"known":[31],"as":[32],"Harary":[34],"index":[35],"or":[36],"global":[38],"efficiency":[39],"graph.":[42],"We":[43,72],"show":[44,74],"that,":[45,75],"if":[46,76],"planar":[49],"and":[50,81],"has":[51,78],"n":[52,68,79,100,106],"vertices,":[53],"then":[54,87],"can":[61,94],"be":[62,95],"computed":[63,96],"in":[64,97],"roughly":[65],"O":[66,98,102],"(":[67,99,103],"9/5":[69],")":[70,105,107],"time.":[71,108],"also":[73],"treewidth":[82],"at":[83],"most":[84],"k":[85,104],",":[86],"log":[101],"both":[110],"cases,":[111],"we":[112],"use":[113],"techniques":[114],"developed":[115],"for":[116],"computing":[117],"distances,":[122],"which":[123],"does":[124],"not":[125],"have":[126],"\u201cinverse\u201d":[127],"component,":[128],"together":[129],"with":[130],"batched":[131],"evaluations":[132],"rational":[134],"functions.":[135]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}