{"id":"https://openalex.org/W2007974556","doi":"https://doi.org/10.1137/040619144","title":"On the Greedy Superstring Conjecture","display_name":"On the Greedy Superstring Conjecture","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2007974556","doi":"https://doi.org/10.1137/040619144","mag":"2007974556"},"language":"en","primary_location":{"id":"doi:10.1137/040619144","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040619144","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/A5068747971","display_name":"Maik Weinard","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Maik Weinard","raw_affiliation_strings":["Institut f\u00fcr Informatik, Johann Wolfgang Goethe\u2013Universit\u00e4t Frankfurt am Main, Frankfurt am Main, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Johann Wolfgang Goethe\u2013Universit\u00e4t Frankfurt am Main, Frankfurt am Main, Germany#TAB#","institution_ids":["https://openalex.org/I114090438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025007932","display_name":"Georg Schnitger","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Georg Schnitger","raw_affiliation_strings":["Institut f\u00fcr Informatik, Johann Wolfgang Goethe\u2013Universit\u00e4t Frankfurt am Main, Frankfurt am Main, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Johann Wolfgang Goethe\u2013Universit\u00e4t Frankfurt am Main, Frankfurt am Main, Germany#TAB#","institution_ids":["https://openalex.org/I114090438"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114090438"],"apc_list":null,"apc_paid":null,"fwci":0.4622,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.73170674,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"2","first_page":"502","last_page":"522"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9987000226974487,"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/greedy-algorithm","display_name":"Greedy algorithm","score":0.7542912364006042},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.749000608921051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7304671406745911},{"id":"https://openalex.org/keywords/superstring-theory","display_name":"Superstring theory","score":0.6738719344139099},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6164700984954834},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.5036720633506775},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4904179275035858},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4844394028186798},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.43427830934524536},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39233094453811646},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18305832147598267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0714363157749176},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.06121072173118591}],"concepts":[{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.7542912364006042},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.749000608921051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7304671406745911},{"id":"https://openalex.org/C20288","wikidata":"https://www.wikidata.org/wiki/Q1437042","display_name":"Superstring theory","level":3,"score":0.6738719344139099},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6164700984954834},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.5036720633506775},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4904179275035858},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4844394028186798},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.43427830934524536},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39233094453811646},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18305832147598267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0714363157749176},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.06121072173118591},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C116674579","wikidata":"https://www.wikidata.org/wiki/Q193442","display_name":"Supersymmetry","level":2,"score":0.0},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/040619144","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040619144","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":[{"id":"https://metadata.un.org/sdg/10","score":0.6200000047683716,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W938539187","https://openalex.org/W1989048084","https://openalex.org/W2037050365","https://openalex.org/W2076047621","https://openalex.org/W2090223576","https://openalex.org/W2091254169","https://openalex.org/W2134761228","https://openalex.org/W2610179052"],"related_works":["https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2778153218","https://openalex.org/W1531601525","https://openalex.org/W2100866734","https://openalex.org/W4321206936","https://openalex.org/W69005189","https://openalex.org/W1673659200"],"abstract_inverted_index":{"We":[0,11,85,108],"investigate":[1],"the":[2,6,14,17,23,26,38,44,57,63,67,77,82,117],"greedy":[3,18,39,59,68],"algorithm":[4,40,69],"for":[5],"shortest":[7],"common":[8],"superstring":[9,19,31],"problem.":[10],"show":[12,109],"that":[13,62,110],"length":[15],"of":[16,25,28,66,74,76,105,113],"is":[20,70],"upper-bounded":[21],"by":[22,89],"sum":[24],"lengths":[27],"an":[29,33],"optimal":[30,34],"and":[32,79,97,99],"cycle":[35],"cover,":[36],"provided":[37],"happens":[41],"to":[42,122],"merge":[43],"strings":[45],"in":[46],"a":[47,72,102],"particular":[48],"way.":[49],"Thus,":[50],"when":[51],"restricting":[52],"inputs":[53],"correspondingly,":[54],"we":[55],"verify":[56],"well-known":[58],"conjecture,":[60],"namely,":[61],"approximation":[64],"ratio":[65],"within":[71],"factor":[73],"two":[75],"optimum,":[78],"actually":[80],"extend":[81],"conjecture":[83],"considerably.":[84],"achieve":[86],"this":[87],"bound":[88],"systematically":[90],"combining":[91],"known":[92],"conditional":[93,114],"inequalities":[94],"about":[95],"overlaps":[96],"period-":[98],"string-lengths":[100],"with":[101],"new":[103],"familiy":[104],"string":[106],"inequalities.":[107],"conventional":[111],"systems":[112],"inequalities,":[115,119],"including":[116],"Monge":[118],"are":[120],"insufficient":[121],"obtain":[123],"our":[124],"result.":[125]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}