{"id":"https://openalex.org/W4415344476","doi":"https://doi.org/10.4230/lipics.esa.2025.39","title":"Going Beyond Surfaces in Diameter Approximation","display_name":"Going Beyond Surfaces in Diameter Approximation","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415344476","doi":"https://doi.org/10.4230/lipics.esa.2025.39"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2507.03447","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.03447","pdf_url":"https://arxiv.org/pdf/2507.03447","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2507.03447","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120061074","display_name":"Micha\u0142 W\u0142odarczyk","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"W\u0142odarczyk, Micha\u0142","raw_affiliation_strings":["University of Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"University of Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5120061074"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30990082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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/T13518","display_name":"Architecture and Computational Design","score":0.14110000431537628,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13518","display_name":"Architecture and Computational Design","score":0.14110000431537628,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.6438999772071838},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5353000164031982},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4618000090122223},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4505999982357025},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42579999566078186},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.4081999957561493},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.3968000113964081},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37929999828338623},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.37770000100135803},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.37380000948905945}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6470999717712402},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.6438999772071838},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6201000213623047},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5353000164031982},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4618000090122223},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4505999982357025},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4442000091075897},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42579999566078186},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.421099990606308},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.4081999957561493},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.3968000113964081},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37929999828338623},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.37770000100135803},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.37380000948905945},{"id":"https://openalex.org/C17192189","wikidata":"https://www.wikidata.org/wiki/Q1347059","display_name":"Epigraph","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.33379998803138733},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.32100000977516174},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.32019999623298645},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.3188999891281128},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.31189998984336853},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2987000048160553},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.2928999960422516},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C96333769","wikidata":"https://www.wikidata.org/wiki/Q907955","display_name":"Graph traversal","level":3,"score":0.28760001063346863},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C7356347","wikidata":"https://www.wikidata.org/wiki/Q1307838","display_name":"Unit square","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.2799000144004822},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.26350000500679016},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.2547000050544739},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.25369998812675476},{"id":"https://openalex.org/C71017364","wikidata":"https://www.wikidata.org/wiki/Q5421532","display_name":"Exponential time hypothesis","level":3,"score":0.2524999976158142},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.2524999976158142},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2507.03447","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.03447","pdf_url":"https://arxiv.org/pdf/2507.03447","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},{"id":"doi:10.4230/lipics.esa.2025.39","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.esa.2025.39","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:2507.03447","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.03447","pdf_url":"https://arxiv.org/pdf/2507.03447","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Calculating":[0],"the":[1,12,87,97,105,134,180],"diameter":[2,79],"of":[3,66,96,121,136,155],"an":[4,118,152],"undirected":[5],"graph":[6,120,154],"requires":[7],"quadratic":[8],"running":[9,41,107],"time":[10,42,165,172],"under":[11],"Strong":[13],"Exponential":[14],"Time":[15],"Hypothesis":[16],"and":[17,55,77,86,170],"this":[18,56,70],"barrier":[19],"works":[20],"even":[21],"against":[22],"any":[23],"approximation":[24],"better":[25],"than":[26],"3/2.":[27],"For":[28],"planar":[29,98],"graphs":[30,65,116,150],"with":[31,40,104],"positive":[32],"edge":[33],"weights,":[34],"there":[35],"are":[36,198],"known":[37,190],"(1+\u03b5)-approximation":[38,102],"algorithms":[39,49,63,103,197],"poly(1/\u03b5,":[43],"log":[44,175],"n)\u22c5":[45],"n.":[46],"However,":[47],"these":[48],"rely":[50],"on":[51,82],"shortest":[52],"path":[53],"separators":[54],"technique":[57],"falls":[58],"short":[59],"to":[60],"yield":[61],"efficient":[62,145],"beyond":[64],"bounded":[67,192],"genus.":[68],"In":[69],"work":[71],"we":[72,143],"depart":[73],"from":[74],"embedding-based":[75],"arguments":[76],"obtain":[78,144],"approximations":[80],"relying":[81],"VC":[83],"set":[84],"systems":[85],"local":[88],"treewidth":[89],"property.":[90],"We":[91],"present":[92],"two":[93],"orthogonal":[94],"extensions":[95],"case":[99],"by":[100],"giving":[101],"following":[106],"times:":[108],"-":[109,127],"\ud835\udcaa_h((1/\u03b5)^\ud835\udcaa(h)":[110],"\u22c5":[111,129],"nlog\u00b2":[112,130],"n)-time":[113,131],"algorithm":[114,132],"for":[115,133,149,191],"excluding":[117,151],"apex":[119,153],"size":[122,156],"h":[123,157],"as":[124,158],"a":[125,140,159],"minor,":[126],"\ud835\udcaa_d((1/\u03b5)^\ud835\udcaa(d)":[128],"class":[135],"d-apex":[137],"graphs.":[138,194],"As":[139],"stepping":[141],"stone,":[142],"(1+\u03b5)-approximate":[146],"distance":[147],"oracles":[148,184],"minor.":[160],"Our":[161],"oracle":[162],"has":[163],"preprocessing":[164],"\ud835\udcaa_h((1/\u03b5)\u2078\u22c5":[166],"nlog":[167,168],"W)":[169],"query":[171],"\ud835\udcaa_h((1/\u03b5)\u00b2\u22c5log":[173],"n":[174],"W),":[176],"where":[177],"W":[178],"is":[179],"metric":[181],"stretch.":[182],"Such":[183],"have":[185],"been":[186],"so":[187],"far":[188],"only":[189],"genus":[193],"All":[195],"our":[196],"deterministic.":[199]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-20T00:00:00"}
