{"id":"https://openalex.org/W2990003029","doi":"https://doi.org/10.1137/20m1326489","title":"Efficiently Realizing Interval Sequences","display_name":"Efficiently Realizing Interval Sequences","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2990003029","doi":"https://doi.org/10.1137/20m1326489","mag":"2990003029"},"language":"en","primary_location":{"id":"doi:10.1137/20m1326489","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1326489","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":"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/A5050059210","display_name":"Amotz Bar-Noy","orcid":"https://orcid.org/0009-0004-7021-9072"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]},{"id":"https://openalex.org/I2799853480","display_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","ror":"https://ror.org/00k4h2615","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2799853480","https://openalex.org/I315704651"]},{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["DE","IL","US"],"is_corresponding":true,"raw_author_name":"Amotz Bar-Noy","raw_affiliation_strings":["Weizmann Institute of Science, Rehovot, Israel","Bar Ilan University, Ramat-Gan, Israel","City University of New York (CUNY), USA","Leibniz International Proceedings in Informatics Schloss Dagstuhl -Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl Publishing, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]},{"raw_affiliation_string":"Bar Ilan University, Ramat-Gan, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"City University of New York (CUNY), USA","institution_ids":["https://openalex.org/I174216632"]},{"raw_affiliation_string":"Leibniz International Proceedings in Informatics Schloss Dagstuhl -Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl Publishing, Germany","institution_ids":["https://openalex.org/I2799853480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024739923","display_name":"Keerti Choudhary","orcid":"https://orcid.org/0000-0002-8289-5930"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]},{"id":"https://openalex.org/I2799853480","display_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","ror":"https://ror.org/00k4h2615","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2799853480","https://openalex.org/I315704651"]},{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["DE","IL","US"],"is_corresponding":false,"raw_author_name":"Keerti Choudhary","raw_affiliation_strings":["Bar Ilan University, Ramat-Gan, Israel","Leibniz International Proceedings in Informatics Schloss Dagstuhl -Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl Publishing, Germany","Weizmann Institute of Science, Rehovot, Israel","City University of New York (CUNY), USA"],"raw_orcid":"https://orcid.org/0000-0002-8289-5930","affiliations":[{"raw_affiliation_string":"Bar Ilan University, Ramat-Gan, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Leibniz International Proceedings in Informatics Schloss Dagstuhl -Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl Publishing, Germany","institution_ids":["https://openalex.org/I2799853480"]},{"raw_affiliation_string":"Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]},{"raw_affiliation_string":"City University of New York (CUNY), USA","institution_ids":["https://openalex.org/I174216632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056419022","display_name":"David Peleg","orcid":"https://orcid.org/0000-0003-1590-0506"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]},{"id":"https://openalex.org/I2799853480","display_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","ror":"https://ror.org/00k4h2615","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2799853480","https://openalex.org/I315704651"]},{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["DE","IL","US"],"is_corresponding":false,"raw_author_name":"David Peleg","raw_affiliation_strings":["Leibniz International Proceedings in Informatics Schloss Dagstuhl -Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl Publishing, Germany","Bar Ilan University, Ramat-Gan, Israel","Weizmann Institute of Science, Rehovot, Israel","City University of New York (CUNY), USA"],"raw_orcid":"https://orcid.org/0000-0003-1590-0506","affiliations":[{"raw_affiliation_string":"Leibniz International Proceedings in Informatics Schloss Dagstuhl -Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl Publishing, Germany","institution_ids":["https://openalex.org/I2799853480"]},{"raw_affiliation_string":"Bar Ilan University, Ramat-Gan, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]},{"raw_affiliation_string":"City University of New York (CUNY), USA","institution_ids":["https://openalex.org/I174216632"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044026612","display_name":"Dror Rawitz","orcid":"https://orcid.org/0000-0003-0323-6097"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]},{"id":"https://openalex.org/I2799853480","display_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","ror":"https://ror.org/00k4h2615","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2799853480","https://openalex.org/I315704651"]},{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["DE","IL","US"],"is_corresponding":false,"raw_author_name":"Dror Rawitz","raw_affiliation_strings":["City University of New York (CUNY), USA","Leibniz International Proceedings in Informatics Schloss Dagstuhl -Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl Publishing, Germany","Bar Ilan University, Ramat-Gan, Israel","Weizmann Institute of Science, Rehovot, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"City University of New York (CUNY), USA","institution_ids":["https://openalex.org/I174216632"]},{"raw_affiliation_string":"Leibniz International Proceedings in Informatics Schloss Dagstuhl -Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl Publishing, Germany","institution_ids":["https://openalex.org/I2799853480"]},{"raw_affiliation_string":"Bar Ilan University, Ramat-Gan, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050059210"],"corresponding_institution_ids":["https://openalex.org/I13955877","https://openalex.org/I174216632","https://openalex.org/I2799853480","https://openalex.org/I53964585"],"apc_list":null,"apc_paid":null,"fwci":0.1962,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.46964321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"4","first_page":"2318","last_page":"2337"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9878000020980835,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9835000038146973,"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/sequence","display_name":"Sequence (biology)","score":0.7481802105903625},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.742401659488678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7244080305099487},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.709714949131012},{"id":"https://openalex.org/keywords/realizability","display_name":"Realizability","score":0.5993996858596802},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5170876979827881},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4507102072238922},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4381181001663208},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4178675711154938}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7481802105903625},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.742401659488678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7244080305099487},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.709714949131012},{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.5993996858596802},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5170876979827881},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4507102072238922},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4381181001663208},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4178675711154938},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1326489","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1326489","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5259331294","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338295","funder_display_name":"Army Research Laboratory"},{"id":"https://openalex.org/G8954567280","display_name":null,"funder_award_id":"2018043","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G948678646","display_name":null,"funder_award_id":"W911NF-09-2-0053","funder_id":"https://openalex.org/F4320338295","funder_display_name":"Army Research Laboratory"}],"funders":[{"id":"https://openalex.org/F4320308960","display_name":"United States - Israel Binational Science Foundation","ror":"https://ror.org/00j8z2m73"},{"id":"https://openalex.org/F4320338295","display_name":"Army Research Laboratory","ror":"https://ror.org/011hc8f90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1967454948","https://openalex.org/W1980216293","https://openalex.org/W1985450690","https://openalex.org/W1986600094","https://openalex.org/W1986717972","https://openalex.org/W2000478304","https://openalex.org/W2004402862","https://openalex.org/W2004739738","https://openalex.org/W2005706719","https://openalex.org/W2018480107","https://openalex.org/W2018850502","https://openalex.org/W2023686130","https://openalex.org/W2027682382","https://openalex.org/W2031833194","https://openalex.org/W2049754879","https://openalex.org/W2066743906","https://openalex.org/W2082659364","https://openalex.org/W2086864954","https://openalex.org/W2095991286","https://openalex.org/W2115049345","https://openalex.org/W2143799715","https://openalex.org/W2334698612","https://openalex.org/W2523666425","https://openalex.org/W2899106323","https://openalex.org/W2906260041","https://openalex.org/W3041685368","https://openalex.org/W3192960030"],"related_works":["https://openalex.org/W1603488308","https://openalex.org/W4298120007","https://openalex.org/W2136737082","https://openalex.org/W2321910655","https://openalex.org/W3173554384","https://openalex.org/W1517224694","https://openalex.org/W1857750633","https://openalex.org/W2051968535","https://openalex.org/W4311992195","https://openalex.org/W4382240261"],"abstract_inverted_index":{"We":[0],"consider":[1,150],"the":[2,42,71,121,140,145,153,158],"problem":[3],"of":[4,13,63,70,152,167],"realizable":[5,80,115],"interval":[6,9,64,81,116,122,142],"sequences.":[7,76],"An":[8],"sequence":[10,112,123,133,143,161,172],"is":[11,26,51,67,84,124],"comprised":[12],"$n$":[14],"integer":[15],"intervals":[16],"$[a_i,b_i]$":[17],"such":[18,155],"that":[19],"$0\\le":[20],"a_i\\leq":[21],"b_i":[22],"\\le":[23],"n-1$":[24],"and":[25,162],"said":[27],"to":[28,129,139,173],"be":[29],"graphic/realizable":[30],"if":[31],"there":[32,83],"exists":[33],"a":[34,52,68,90,110,131,164,168,174],"graph":[35],"with":[36,137],"degree":[37],"sequence,":[38,82],"say,":[39],"$D=(d_1,\\ldots,d_n),$":[40],"satisfying":[41],"condition":[43],"$a_i\\leq":[44],"d_i\\leq":[45],"b_i$":[46],"for":[47,61,74,88,108,113],"each":[48],"$i\\in[1,n]$.":[49],"There":[50],"characterization":[53,73],"(also":[54],"implying":[55],"an":[56,102],"$O(n)$":[57],"verifying":[58],"algorithm)":[59],"known":[60,86],"realizability":[62],"sequences,":[65],"which":[66],"generalization":[69],"Erd\u00f6s--Gallai":[72],"graphic":[75,92,111,132,160,175],"However,":[77],"given":[78,141],"any":[79,114],"no":[85],"algorithm":[87,107],"computing":[89,109,157,163],"corresponding":[91],"certificate":[93],"in":[94,144],"$o(n^2)$":[95],"time.":[96,147],"In":[97,118],"this":[98],"paper,":[99],"we":[100,126,149],"provide":[101],"$O(n":[103],"\\log":[104],"n)$":[105],"time":[106],"sequence.":[117],"addition,":[119],"when":[120],"nonrealizable,":[125],"show":[127],"how":[128],"find":[130],"having":[134],"minimum":[135,165],"deviation":[136],"respect":[138],"same":[146],"Finally,":[148],"variants":[151],"problem,":[154],"as":[156],"most-regular":[159],"extension":[166],"length":[169],"$p$":[170],"nongraphic":[171],"one.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}