{"id":"https://openalex.org/W4283805622","doi":"https://doi.org/10.1007/s00453-022-00989-x","title":"Solving String Problems on Graphs Using the Labeled Direct Product","display_name":"Solving String Problems on Graphs Using the Labeled Direct Product","publication_year":2022,"publication_date":"2022-07-05","ids":{"openalex":"https://openalex.org/W4283805622","doi":"https://doi.org/10.1007/s00453-022-00989-x"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-022-00989-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-00989-x.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-00989-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101764985","display_name":"Nicola Rizzo","orcid":"https://orcid.org/0000-0002-2035-6309"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"funder","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Nicola Rizzo","raw_affiliation_strings":["Department of Computer Science, University of Helsinki, Helsinki, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Helsinki, Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063897224","display_name":"Alexandru I. Tomescu","orcid":"https://orcid.org/0000-0002-5747-8350"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"funder","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Alexandru I. Tomescu","raw_affiliation_strings":["Department of Computer Science, University of Helsinki, Helsinki, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Helsinki, Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042115100","display_name":"Alberto Policriti","orcid":"https://orcid.org/0000-0001-8502-5896"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"funder","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alberto Policriti","raw_affiliation_strings":["Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042115100"],"corresponding_institution_ids":["https://openalex.org/I129043915"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.422,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":3,"citation_normalized_percentile":{"value":0.587237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":75,"max":78},"biblio":{"volume":"84","issue":"10","first_page":"3008","last_page":"3033"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998,"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":0.9998,"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"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9944,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9922,"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/substring","display_name":"Substring","score":0.88526064},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.451968},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.4398585},{"id":"https://openalex.org/keywords/graph-product","display_name":"Graph product","score":0.432502}],"concepts":[{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.88526064},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.57285744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5042113},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5001967},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.451968},{"id":"https://openalex.org/C2781166958","wikidata":"https://www.wikidata.org/wiki/Q1426863","display_name":"Suffix tree","level":3,"score":0.44343615},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.4398585},{"id":"https://openalex.org/C68103157","wikidata":"https://www.wikidata.org/wiki/Q569347","display_name":"Graph product","level":5,"score":0.432502},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42842722},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42127326},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.40844566},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39829308},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.3124196},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.28052843},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.13309667},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-022-00989-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-00989-x.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2109.05290","pdf_url":"https://arxiv.org/pdf/2109.05290","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2109.05290","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-022-00989-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-00989-x.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland","award_id":"328877"},{"funder":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland","award_id":"322595"},{"funder":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council","award_id":"851093"}],"datasets":[],"versions":["https://openalex.org/W4283805622"],"referenced_works_count":40,"referenced_works":["https://openalex.org/W1108093586","https://openalex.org/W1560050980","https://openalex.org/W1781218127","https://openalex.org/W1976682045","https://openalex.org/W1984849088","https://openalex.org/W2011210839","https://openalex.org/W2054801208","https://openalex.org/W2054895735","https://openalex.org/W2072102045","https://openalex.org/W2084732238","https://openalex.org/W2107079154","https://openalex.org/W2118486794","https://openalex.org/W2123060738","https://openalex.org/W2129264270","https://openalex.org/W2154965336","https://openalex.org/W2167473451","https://openalex.org/W232438323","https://openalex.org/W2406547600","https://openalex.org/W2406842229","https://openalex.org/W2407929722","https://openalex.org/W2530883068","https://openalex.org/W2611884230","https://openalex.org/W2725379159","https://openalex.org/W2767747923","https://openalex.org/W2964091527","https://openalex.org/W2966735921","https://openalex.org/W2977558816","https://openalex.org/W2999349690","https://openalex.org/W3081483715","https://openalex.org/W3106319426","https://openalex.org/W3114237669","https://openalex.org/W3126170517","https://openalex.org/W4205775169","https://openalex.org/W4206067192","https://openalex.org/W4234128466","https://openalex.org/W4292016044","https://openalex.org/W6247929","https://openalex.org/W636028376","https://openalex.org/W642038236","https://openalex.org/W938539187"],"related_works":["https://openalex.org/W4293578199","https://openalex.org/W4287749642","https://openalex.org/W3038621866","https://openalex.org/W2625505879","https://openalex.org/W2362011785","https://openalex.org/W2230314777","https://openalex.org/W2102450363","https://openalex.org/W2070949798","https://openalex.org/W1919313975","https://openalex.org/W1587794359"],"abstract_inverted_index":{"Suffix":[0],"trees":[1],"are":[2,115,218],"an":[3,172],"important":[4],"data":[5],"structure":[6],"at":[7],"the":[8,62,69,77,98,126,129,148,151,183,186,196,201,223,230],"core":[9],"of":[10,34,40,64,81,101,128,150,185],"optimal":[11,90],"solutions":[12],"to":[13,43,57,194],"many":[14],"fundamental":[15],"string":[16,102,204],"problems,":[17],"such":[18],"as":[19,84,171],"exact":[20],"pattern":[21],"matching,":[22],"longest":[23,29,106,202],"common":[24,107],"substring,":[25],"matching":[26,103,197],"statistics,":[27],"and":[28,105,142,200],"repeated":[30,203],"substring.":[31],"Recent":[32],"lines":[33],"research":[35],"focused":[36],"on":[37,164,222,238],"extending":[38],"some":[39,52,140],"these":[41],"problems":[42,100,206],"vertex-labeled":[44],"graphs,":[45,74],"although":[46],"using":[47],"ad-hoc":[48],"approaches":[49],"which":[50,133,168],"in":[51,110,122,125,179,207],"cases":[53],"do":[54],"not":[55],"generalize":[56],"all":[58],"input":[59],"graphs.":[60,112,209,240],"In":[61],"absence":[63],"a":[65,85],"ubiquitous":[66],"tool":[67,87],"like":[68],"suffix":[70],"tree":[71],"for":[72,88,97,139],"labeled":[73,78,111,130,152,187,208],"we":[75,92,190,211,228],"introduce":[76],"direct":[79,153],"product":[80,131,154,188],"two":[82],"graphs":[83,165],"general":[86],"obtaining":[89],"algorithms:":[91],"obtain":[93],"conceptually":[94],"simpler":[95],"algorithms":[96,114,217],"quadratic":[99,138],"(SMLG)":[104],"substring":[108],"(LCSP)":[109],"Our":[113],"also":[116,161,191,219],"more":[117],"efficient,":[118],"since":[119],"they":[120],"run":[121],"time":[123],"linear":[124],"size":[127,149],"graph,":[132,189],"may":[134],"be":[135,157],"smaller":[136],"than":[137],"inputs,":[141],"their":[143],"run-time":[144],"is":[145],"predictable,":[146],"because":[147],"graph":[155],"can":[156],"precomputed":[158],"efficiently.":[159],"We":[160],"solve":[162,195],"LCSP":[163],"containing":[166],"cycles,":[167],"was":[169],"left":[170],"open":[173],"problem":[174],"by":[175,235],"Shimohira":[176],"et":[177],"al.":[178],"2011.":[180],"To":[181],"show":[182,212],"power":[184],"apply":[192],"it":[193,237],"statistics":[198],"(MSP)":[199],"(LRSP)":[205],"Moreover,":[210],"that":[213],"our":[214],"(worst-case":[215],"quadratic)":[216],"optimal,":[220],"conditioned":[221],"Orthogonal":[224],"Vectors":[225],"Hypothesis.":[226],"Finally,":[227],"complete":[229],"complexity":[231],"picture":[232],"around":[233],"LRSP":[234],"studying":[236],"undirected":[239]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4283805622","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-04-25T09:14:30.211973","created_date":"2022-07-06"}