{"id":"https://openalex.org/W2949196298","doi":"https://doi.org/10.1137/18m1210678","title":"The Greedy Spanner Is Existentially Optimal","display_name":"The Greedy Spanner Is Existentially Optimal","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2949196298","doi":"https://doi.org/10.1137/18m1210678","mag":"2949196298"},"language":"en","primary_location":{"id":"doi:10.1137/18m1210678","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1210678","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1605.06852","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044890369","display_name":"Arnold Filtser","orcid":"https://orcid.org/0000-0001-9578-9304"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arnold Filtser","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9578-9304","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5084685735","display_name":"Shay Solomon","orcid":"https://orcid.org/0000-0003-2254-5100"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shay Solomon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01121823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"2","first_page":"429","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10583","display_name":"Cancer-related Molecular Pathways","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2730","display_name":"Oncology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9733999967575073,"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/spanner","display_name":"Spanner","score":0.9810534715652466},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6758708953857422},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.5542720556259155},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5274677276611328},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4545506536960602},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4439963698387146},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.42107123136520386},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3492221236228943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3076069951057434},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1579488217830658}],"concepts":[{"id":"https://openalex.org/C2779585601","wikidata":"https://www.wikidata.org/wiki/Q4049850","display_name":"Spanner","level":2,"score":0.9810534715652466},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6758708953857422},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.5542720556259155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5274677276611328},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4545506536960602},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4439963698387146},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.42107123136520386},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3492221236228943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3076069951057434},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1579488217830658},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/18m1210678","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1210678","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1605.06852","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.06852","pdf_url":"https://arxiv.org/pdf/1605.06852","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"mag:2949196298","is_oa":true,"landing_page_url":"https://www.arxiv.org/pdf/1605.06852","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1605.06852","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1605.06852","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1605.06852","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.06852","pdf_url":"https://arxiv.org/pdf/1605.06852","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4699999988079071,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1399582570","display_name":null,"funder_award_id":"(1817/17)","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G6376236971","display_name":null,"funder_award_id":"1991/19","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G6692808261","display_name":null,"funder_award_id":"2015813","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320308960","display_name":"United States - Israel Binational Science Foundation","ror":"https://ror.org/00j8z2m73"},{"id":"https://openalex.org/F4320312914","display_name":"Blavatnik Family Foundation","ror":null},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320323051","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2949196298.pdf","grobid_xml":"https://content.openalex.org/works/W2949196298.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W1500591628","https://openalex.org/W1505970908","https://openalex.org/W1517594834","https://openalex.org/W1518500386","https://openalex.org/W1518503263","https://openalex.org/W1521105608","https://openalex.org/W1564010364","https://openalex.org/W1568961751","https://openalex.org/W1582742149","https://openalex.org/W1727575636","https://openalex.org/W1769399376","https://openalex.org/W1974130741","https://openalex.org/W1975752629","https://openalex.org/W1976125024","https://openalex.org/W1987669032","https://openalex.org/W1991530421","https://openalex.org/W2000198477","https://openalex.org/W2002041206","https://openalex.org/W2004476837","https://openalex.org/W2005128841","https://openalex.org/W2018128607","https://openalex.org/W2018963243","https://openalex.org/W2035494495","https://openalex.org/W2037502847","https://openalex.org/W2038084411","https://openalex.org/W2038973759","https://openalex.org/W2041167985","https://openalex.org/W2044334960","https://openalex.org/W2045134120","https://openalex.org/W2045446569","https://openalex.org/W2056518357","https://openalex.org/W2057994027","https://openalex.org/W2059707428","https://openalex.org/W2063624401","https://openalex.org/W2067110987","https://openalex.org/W2074149381","https://openalex.org/W2091221928","https://openalex.org/W2091569826","https://openalex.org/W2097747425","https://openalex.org/W2106718857","https://openalex.org/W2107046847","https://openalex.org/W2116619773","https://openalex.org/W2118095775","https://openalex.org/W2126497992","https://openalex.org/W2139391136","https://openalex.org/W2141105412","https://openalex.org/W2144677702","https://openalex.org/W2145057516","https://openalex.org/W2145145566","https://openalex.org/W2148073303","https://openalex.org/W2154201790","https://openalex.org/W2154583779","https://openalex.org/W2155971496","https://openalex.org/W2180566952","https://openalex.org/W2264984242","https://openalex.org/W2296650767","https://openalex.org/W2395889972","https://openalex.org/W2398255676","https://openalex.org/W2401485379","https://openalex.org/W2570050542","https://openalex.org/W2765506946","https://openalex.org/W2774521735","https://openalex.org/W2943137904","https://openalex.org/W2951006135","https://openalex.org/W2952027731","https://openalex.org/W3013884612","https://openalex.org/W3021716813","https://openalex.org/W3037209702","https://openalex.org/W3101630447","https://openalex.org/W3136485547","https://openalex.org/W3137290582","https://openalex.org/W3163127969","https://openalex.org/W4231761369","https://openalex.org/W4232548171","https://openalex.org/W4245082111"],"related_works":["https://openalex.org/W2611635551","https://openalex.org/W2997803662","https://openalex.org/W2953312821","https://openalex.org/W2952355260","https://openalex.org/W2605027943","https://openalex.org/W2977853149","https://openalex.org/W2261727491","https://openalex.org/W2768300210","https://openalex.org/W2533436956","https://openalex.org/W2945054678","https://openalex.org/W1502005853","https://openalex.org/W2293041988","https://openalex.org/W2060807538","https://openalex.org/W1997630475","https://openalex.org/W3000445495","https://openalex.org/W1533555497","https://openalex.org/W2616359666","https://openalex.org/W2064147138","https://openalex.org/W2071608792","https://openalex.org/W2990730306"],"abstract_inverted_index":{"The":[0,60],"greedy":[1,61,84,106,193],"spanner":[2,10,25,62,85,107,129,143,194],"is":[3,17,63,86,114,250],"arguably":[4],"the":[5,31,52,83,101,105,123,138,141,168,192,212,267,287,296],"simplest":[6],"and":[7,33,79,152,160,203,241,254,259,275,295],"most":[8],"well-studied":[9],"construction.":[11],"Experimental":[12],"results":[13],"demonstrate":[14],"that":[15,191,217],"it":[16,265],"at":[18],"least":[19],"as":[20,22,116,120,122,223],"good":[21,117],"any":[23],"other":[24],"construction":[26,232,244],"in":[27,51,74,111,133,211,284],"terms":[28,75],"of":[29,76,104,126,167,175,233,257,286],"both":[30,77,146,200],"size":[32,78],"weight":[34,139,197],"parameters.":[35],"However,":[36],"a":[37,56,95],"rigorous":[38],"proof":[39],"for":[40,69,94,145,199,235],"this":[41,47],"statement":[42],"has":[43],"remained":[44],"elusive.":[45],"In":[46],"work":[48],"we":[49,189,215,226],"fill":[50],"theoretical":[53],"gap":[54],"via":[55],"surprisingly":[57],"simple":[58],"observation:":[59],"existentially":[64,67,90,221],"optimal":[65,91,128],"(or":[66,92,118],"near-optimal)":[68,93],"several":[70],"important":[71],"graph":[72,96],"families":[73],"weight.":[80],"Roughly":[81],"speaking,":[82],"said":[87],"to":[88,150,164,272,291],"be":[89],"family":[97],"$\\mathcal":[98,112,134],"G$":[99,113],"if":[100],"worst":[102,124],"performance":[103,125],"over":[108,130],"all":[109,131,285],"graphs":[110,132,148,202],"just":[115],"nearly":[119],"good)":[121],"an":[127,228],"G$.":[135],"Focusing":[136],"on":[137,173,293],"parameter,":[140],"state-of-the-art":[142,268],"constructions":[144],"general":[147,201],"(due":[149,163,271],"Chechik":[151],"Wulff-Nilsen":[153],"[ACM":[154],"Trans.":[155],"Algorithms,":[156],"14":[157],"(2018),":[158],"33])":[159],"doubling":[161,204,236],"metrics":[162,237],"Gottlieb":[165],"[Proceedings":[166],"$56$th":[169],"Annual":[170],"IEEE":[171],"Symposium":[172],"Foundations":[174],"Computer":[176],"Science,":[177],"2015,":[178],"pp.":[179,282],"759--772])":[180],"are":[181,220,261],"complex.":[182],"Plugging":[183],"our":[184],"observation":[185],"into":[186],"these":[187],"results,":[188],"conclude":[190],"achieves":[195],"near-optimal":[196,222],"guarantees":[198],"metrics,":[205],"thus":[206],"resolving":[207],"two":[208],"longstanding":[209],"conjectures":[210],"area.":[213],"Further,":[214],"observe":[216],"approximate-greedy":[218],"spanners":[219],"well.":[224],"Consequently,":[225],"provide":[227],"$O(n":[229,251],"\\log":[230],"n)$-time":[231],"$(1+\\epsilon)$-spanners":[234],"with":[238],"constant":[239],"lightness":[240],"degree.":[242],"Our":[243],"improves":[245],"Gottlieb's":[246],"construction,":[247],"whose":[248,255],"runtime":[249],"\\log^2":[252],"n)$":[253],"number":[256],"edges":[258],"degree":[260],"unbounded,":[262],"and,":[263],"remarkably,":[264],"matches":[266],"Euclidean":[269],"result":[270],"Gudmundsson,":[273],"Levcopoulos,":[274],"Narasimhan":[276],"[SIAM":[277],"J.":[278],"Comput.,":[279],"31":[280],"(2002),":[281],"1479--1500])":[283],"involved":[288],"parameters":[289],"(up":[290],"dependencies":[292],"$\\epsilon$":[294],"dimension).":[297]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}