{"id":"https://openalex.org/W4286839286","doi":"https://doi.org/10.1137/22m1527817","title":"Sample Compression Schemes for Balls in Graphs","display_name":"Sample Compression Schemes for Balls in Graphs","publication_year":2023,"publication_date":"2023-11-09","ids":{"openalex":"https://openalex.org/W4286839286","doi":"https://doi.org/10.1137/22m1527817"},"language":"en","primary_location":{"id":"doi:10.1137/22m1527817","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1527817","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03705798v2/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041906976","display_name":"J\u00e9r\u00e9mie Chalopin","orcid":"https://orcid.org/0000-0002-2988-8969"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J\u00e9r\u00e9mie Chalopin","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","Algorithmique Distribu\u00e9e"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Algorithmique Distribu\u00e9e","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033947410","display_name":"Victor Chepoi","orcid":"https://orcid.org/0000-0002-0481-7312"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Victor Chepoi","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","Algorithmique, Combinatoire et Recherche Op\u00e9rationnelle"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Algorithmique, Combinatoire et Recherche Op\u00e9rationnelle","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073087000","display_name":"Fionn Mc Inerney","orcid":"https://orcid.org/0000-0002-5634-9506"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]},{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["AT","DE"],"is_corresponding":false,"raw_author_name":"Fionn Mc Inerney","raw_affiliation_strings":["Algorithms and Complexity Group, TU Wien, Vienna, Austria","Helmholtz Center for Information Security [Saarbr\u00fccken]"],"affiliations":[{"raw_affiliation_string":"Algorithms and Complexity Group, TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Helmholtz Center for Information Security [Saarbr\u00fccken]","institution_ids":["https://openalex.org/I4210128801"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109581146","display_name":"S\u00e9bastien Ratel","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Ratel","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","Algorithmique, Combinatoire et Recherche Op\u00e9rationnelle"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Algorithmique, Combinatoire et Recherche Op\u00e9rationnelle","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023289587","display_name":"yann Vax\u00e8s","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yann Vax\u00e8s","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","Algorithmique, Combinatoire et Recherche Op\u00e9rationnelle"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Algorithmique, Combinatoire et Recherche Op\u00e9rationnelle","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5041906976"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00969069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"4","first_page":"2585","last_page":"2616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.953499972820282,"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":0.953499972820282,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9502999782562256,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9470999836921692,"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/sample","display_name":"Sample (material)","score":0.6377061605453491},{"id":"https://openalex.org/keywords/compression","display_name":"Compression (physics)","score":0.5194051265716553},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4223315417766571},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39175108075141907},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3857463300228119},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.19647365808486938},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17126047611236572},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.14407861232757568},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07065978646278381}],"concepts":[{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.6377061605453491},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.5194051265716553},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4223315417766571},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39175108075141907},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3857463300228119},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.19647365808486938},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17126047611236572},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.14407861232757568},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07065978646278381}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/22m1527817","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1527817","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03705798v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03705798","pdf_url":"https://hal.science/hal-03705798v2/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics, 2023, 37 (4), pp.2585-2616. &#x27E8;10.1137/22M1527817&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:figshare.com:article/24614445","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"doi:10.60882/cispa.24614445","is_oa":true,"landing_page_url":"https://doi.org/10.60882/cispa.24614445","pdf_url":null,"source":{"id":"https://openalex.org/S7407050916","display_name":"CISPA Helmholtz Center","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.60882/cispa.24614445.v1","is_oa":true,"landing_page_url":"https://doi.org/10.60882/cispa.24614445.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050916","display_name":"CISPA Helmholtz Center","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03705798v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03705798","pdf_url":"https://hal.science/hal-03705798v2/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics, 2023, 37 (4), pp.2585-2616. &#x27E8;10.1137/22M1527817&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1382289185","display_name":null,"funder_award_id":"Y1329","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G3869568786","display_name":null,"funder_award_id":"ANR-17-CE40-0015","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G605285366","display_name":null,"funder_award_id":"solid","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6803667113","display_name":null,"funder_award_id":"ANR-17","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G991768072","display_name":null,"funder_award_id":"725978 SYSTEMATICGRAPH","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4286839286.pdf","grobid_xml":"https://content.openalex.org/works/W4286839286.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W163763094","https://openalex.org/W581283990","https://openalex.org/W1507545330","https://openalex.org/W1998985069","https://openalex.org/W2001573192","https://openalex.org/W2004079181","https://openalex.org/W2046907549","https://openalex.org/W2061396714","https://openalex.org/W2163075536","https://openalex.org/W2231267930","https://openalex.org/W2529620030","https://openalex.org/W2769849834","https://openalex.org/W2902050609","https://openalex.org/W2962867705","https://openalex.org/W2963421442","https://openalex.org/W2964190130","https://openalex.org/W2980798682","https://openalex.org/W3041586642","https://openalex.org/W3080820494","https://openalex.org/W3123351076","https://openalex.org/W4235484205","https://openalex.org/W4236305466","https://openalex.org/W4238284510","https://openalex.org/W4243551976","https://openalex.org/W4249341414","https://openalex.org/W4255663193","https://openalex.org/W4307887811"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"One":[0],"of":[1,12,20,36,46,52,57,60,74,79],"the":[2],"open":[3],"problems":[4],"in":[5,32],"machine":[6],"learning":[7],"is":[8],"whether":[9],"any":[10],"set-family":[11],"VC-dimension":[13],"d":[14],"admits":[15],"a":[16],"sample":[17,43,71],"compression":[18,44,72],"scheme":[19],"size":[21,47,53,61,75],"O(d).":[22],"In":[23],"this":[24,28],"paper,":[25],"we":[26,40],"study":[27],"problem":[29],"for":[30,49,55,63,77],"balls":[31,35,78],"graphs.":[33,66,81],"For":[34],"arbitrary":[37],"radius":[38],"r,":[39],"design":[41,69],"proper":[42],"schemes":[45,73],"4":[48],"interval":[50],"graphs,":[51],"6":[54],"trees":[56],"cycles,":[58],"and":[59],"22":[62],"cube-free":[64],"median":[65],"We":[67],"also":[68],"approximate":[70],"2":[76],"\u03b4-hyperbolic":[80]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
