{"id":"https://openalex.org/W4406811949","doi":"https://doi.org/10.1016/j.ejc.2025.104119","title":"Building graphs with high minimum degree on a budget","display_name":"Building graphs with high minimum degree on a budget","publication_year":2025,"publication_date":"2025-01-24","ids":{"openalex":"https://openalex.org/W4406811949","doi":"https://doi.org/10.1016/j.ejc.2025.104119"},"language":"en","primary_location":{"id":"doi:10.1016/j.ejc.2025.104119","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejc.2025.104119","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ejc.2025.104119","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063467662","display_name":"Kyriakos Katsamaktsis","orcid":null},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Kyriakos Katsamaktsis","raw_affiliation_strings":["Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048698980","display_name":"Shoham Letzter","orcid":"https://orcid.org/0000-0003-1193-2017"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Shoham Letzter","raw_affiliation_strings":["Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048698980","https://openalex.org/A5063467662"],"corresponding_institution_ids":["https://openalex.org/I45129253"],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":{"value":2880,"currency":"USD","value_usd":2880},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01772813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"129","issue":null,"first_page":"104119","last_page":"104119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9988999962806702,"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":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.866894006729126},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6985921859741211},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6456086039543152},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3738771677017212}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.866894006729126},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6985921859741211},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6456086039543152},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3738771677017212},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ejc.2025.104119","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejc.2025.104119","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.ejc.2025.104119","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejc.2025.104119","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.47999998927116394}],"awards":[{"id":"https://openalex.org/G6956636048","display_name":"Maths DTP 2021-22 University College London","funder_award_id":"EP/W523835/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1489878404","https://openalex.org/W2009232680","https://openalex.org/W2032961882","https://openalex.org/W2085719367","https://openalex.org/W2111559003","https://openalex.org/W2146162554","https://openalex.org/W2155359451","https://openalex.org/W2336317531","https://openalex.org/W3143219376","https://openalex.org/W4285787411","https://openalex.org/W4312512934","https://openalex.org/W4380925355","https://openalex.org/W4402656663"],"related_works":["https://openalex.org/W4391375266","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/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,162],"consider":[1],"the":[2,15,30,33,48,123],"problem":[3],"of":[4,8,32,113,189],"constructing":[5],"a":[6,111,171,187,224],"graph":[7,19,35,67,83,112,188],"minimum":[9,114,128,190],"degree":[10,93,115,129,191],"k":[11,96,118,121,130,166,194,197,200],"\u2265":[12,167],"1":[13,202],"in":[14,97,109,185],"following":[16],"controlled":[17],"random":[18],"process,":[20],"introduced":[21],"recently":[22],"by":[23,51,119,195],"Frieze,":[24,100],"Krivelevich":[25,101],"and":[26,53,85,102,180,221],"Michaeli":[27,103],".":[28,131,198],"Suppose":[29,74],"edges":[31,49,179,213],"complete":[34],"on":[36],"n":[37,140,175,211],"vertices":[38],"are":[39],"permuted":[40],"uniformly":[41],"at":[42,88,116,192],"random.":[43],"A":[44],"player,":[45],"Builder,":[46],"sees":[47],"one":[50,90],"one,":[52],"must":[54],"decide":[55],"irrevocably":[56],"upon":[57],"seeing":[58],"each":[59],"edge":[60,80],"whether":[61],"to":[62,65,77,81],"add":[63,78],"it":[64],"her":[66,82,98],"(of":[68],"already":[69],"selected":[70],"edges)":[71],"or":[72],"not.":[73],"Builder":[75,169],"decides":[76],"an":[79],"if":[84,87],"only":[86],"least":[89,117,193],"endpoint":[91],"has":[92,170],"less":[94],"than":[95],"graph.":[99],"observed":[104],"that":[105,134,164,205,226],"this":[106,156],"strategy":[107,136,172,207,225],"succeeds":[108,181,227],"building":[110,186],"\u03c4":[120,196],",":[122],"hitting":[124],"time":[125],"for":[126,165],"having":[127],"They":[132],"conjectured":[133],"any":[135,149,206],"using":[137,208],"\u025b":[138,139,144,145,209,210],"fewer":[141,178,212],"edges,":[142],"where":[143],">":[146],"0":[147],"is":[148],"constant,":[150],"fails":[151,214],"with":[152,182,215,228],"high":[153,183],"probability.":[154],"In":[155],"paper":[157],"we":[158,203],"disprove":[159],"their":[160],"conjecture.":[161],"show":[163,204],"2":[168],"which":[173],"purchases":[174],"/":[176],"9":[177],"probability":[184,216,229],"For":[199],"=":[201],"bounded":[217,230],"away":[218,231],"from":[219,232],"0,":[220],"exhibit":[222],"such":[223],"0.":[233]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}