{"id":"https://openalex.org/W2606103541","doi":"https://doi.org/10.1142/s0218195916600013","title":"The Price of Order","display_name":"The Price of Order","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2606103541","doi":"https://doi.org/10.1142/s0218195916600013","mag":"2606103541"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195916600013","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195916600013","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","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/A5013674788","display_name":"Prosenjit Bose","orcid":"https://orcid.org/0000-0002-8906-0573"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Prosenjit Bose","raw_affiliation_strings":["School of Computer Science, Carleton University, 1125 Colonel By Drive, Ottawa, K1S 5B6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, 1125 Colonel By Drive, Ottawa, K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045902784","display_name":"Pat Morin","orcid":"https://orcid.org/0000-0003-0471-4118"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Pat Morin","raw_affiliation_strings":["School of Computer Science, Carleton University, 1125 Colonel By Drive, Ottawa, K1S 5B6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, 1125 Colonel By Drive, Ottawa, K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042432858","display_name":"Andr\u00e9 van Renssen","orcid":"https://orcid.org/0000-0002-9294-9947"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 van Renssen","raw_affiliation_strings":["JST, ERATO, Kawarabayashi Large Graph Project, National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"JST, ERATO, Kawarabayashi Large Graph Project, National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan","institution_ids":["https://openalex.org/I184597095"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19625168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"03n04","first_page":"135","last_page":"149"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8107385039329529},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6776783466339111},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5775593519210815},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5002729892730713},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.441049188375473},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3715064525604248},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3432413339614868}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8107385039329529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6776783466339111},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5775593519210815},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5002729892730713},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.441049188375473},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3715064525604248},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3432413339614868},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218195916600013","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195916600013","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1505970908","https://openalex.org/W1863587147","https://openalex.org/W2126473895","https://openalex.org/W2139391136","https://openalex.org/W2165136719","https://openalex.org/W2165849228","https://openalex.org/W2963197342","https://openalex.org/W3102486869","https://openalex.org/W3105316881"],"related_works":["https://openalex.org/W4256429076","https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W2348092930","https://openalex.org/W2012063272","https://openalex.org/W2138685729","https://openalex.org/W2062850566","https://openalex.org/W4308716484","https://openalex.org/W3111310291","https://openalex.org/W1553466895"],"abstract_inverted_index":{"We":[0,65,92,120],"present":[1],"tight":[2,85,113],"bounds":[3,123,154],"on":[4],"the":[5,22,48,58,159,170,196],"spanning":[6,86,114,162,181],"ratio":[7,87,115],"of":[8,12,88,116,164],"a":[9,84,112],"large":[10],"family":[11],"ordered":[13,40,74,102,125,139,175,197],"[Formula:":[14,18,28,36,41,71,75,79,89,99,103,107,117,126,130,134,140,144,148,176,185,198],"see":[15,19,29,37,42,72,76,80,90,100,104,108,118,127,131,135,141,145,149,177,186,199],"text]-graphs.":[16,187],"A":[17],"text]-graph":[20,43],"partitions":[21],"plane":[23],"around":[24],"each":[25,33,55,63],"vertex":[26,56,61],"into":[27],"text]":[30,81,109,132,136,146,150],"disjoint":[31],"cones,":[32],"having":[34],"aperture":[35],"text].":[38,91,119],"An":[39],"is":[44],"constructed":[45],"by":[46,51],"inserting":[47],"vertices":[49],"one":[50,52],"and":[53,133,147,204],"connecting":[54],"to":[57],"closest":[59],"previously-inserted":[60],"in":[62],"cone.":[64],"show":[66,94,190],"that":[67,95,174],"for":[68,96,124],"any":[69,97],"integer":[70,98],"text],":[73,101],"text]-graphs":[77,105,128,142,178,200],"with":[78,106,129,143,201],"cones":[82,110,151,206],"have":[83,111,179],"also":[93],"provide":[121],"lower":[122,153],"cones.":[137],"For":[138],"these":[152],"are":[155,169,207],"strictly":[156],"greater":[157],"than":[158,183],"worst":[160],"case":[161],"ratios":[163,182],"their":[165,193],"unordered":[166,184,194],"counterparts.":[167],"These":[168],"first":[171],"results":[172],"showing":[173],"worse":[180],"Finally,":[188],"we":[189],"that,":[191],"unlike":[192],"counterparts,":[195],"4,":[202],"5,":[203],"6":[205],"not":[208],"spanners.":[209]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
