{"id":"https://openalex.org/W3197087976","doi":"https://doi.org/10.46298/lmcs-18(1:38)2022","title":"BDD-Based Algorithm for SCC Decomposition of Edge-Coloured Graphs","display_name":"BDD-Based Algorithm for SCC Decomposition of Edge-Coloured Graphs","publication_year":2022,"publication_date":"2022-03-10","ids":{"openalex":"https://openalex.org/W3197087976","doi":"https://doi.org/10.46298/lmcs-18(1:38)2022","mag":"3197087976"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-18(1:38)2022","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-18(1:38)2022","pdf_url":"https://lmcs.episciences.org/9198/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/9198/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045342585","display_name":"Nikola Bene\u0161","orcid":"https://orcid.org/0000-0003-0164-4046"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Nikola Bene\u0161","raw_affiliation_strings":["Masaryk University, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001461435","display_name":"Lubo\u0161 Brim","orcid":"https://orcid.org/0000-0001-9393-7545"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Lubo\u0161 Brim","raw_affiliation_strings":["Masaryk University, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071042168","display_name":"Samuel Pastva","orcid":"https://orcid.org/0000-0003-1993-0331"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Samuel Pastva","raw_affiliation_strings":["Masaryk University, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061586199","display_name":"David \u0160afr\u00e1nek","orcid":"https://orcid.org/0000-0002-0713-2431"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"David \u0160afr\u00e1nek","raw_affiliation_strings":["Masaryk University, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5045342585"],"corresponding_institution_ids":["https://openalex.org/I21449261"],"apc_list":null,"apc_paid":null,"fwci":0.26,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.49961283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"Volume 18, Issue 1","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9997000098228455,"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/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9908999800682068,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9901999831199646,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.673600435256958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5602192878723145},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4895216226577759},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4670592248439789},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.4177265167236328},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40759819746017456},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3859020471572876},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38361087441444397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3154395818710327},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07244285941123962}],"concepts":[{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.673600435256958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5602192878723145},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4895216226577759},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4670592248439789},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.4177265167236328},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40759819746017456},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3859020471572876},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38361087441444397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3154395818710327},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07244285941123962},{"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":[{"id":"doi:10.46298/lmcs-18(1:38)2022","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-18(1:38)2022","pdf_url":"https://lmcs.episciences.org/9198/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2108.13113","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2108.13113","pdf_url":"https://arxiv.org/pdf/2108.13113","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:b81b0d37cae24805936051030bc24352","is_oa":true,"landing_page_url":"https://doaj.org/article/b81b0d37cae24805936051030bc24352","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 18, Issue 1 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-18(1:38)2022","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-18(1:38)2022","pdf_url":"https://lmcs.episciences.org/9198/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7200000286102295,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3197087976.pdf","grobid_xml":"https://content.openalex.org/works/W3197087976.grobid-xml"},"referenced_works_count":66,"referenced_works":["https://openalex.org/W58125149","https://openalex.org/W183719528","https://openalex.org/W1422717320","https://openalex.org/W1572590947","https://openalex.org/W1604622884","https://openalex.org/W1606724249","https://openalex.org/W1807981783","https://openalex.org/W1878594033","https://openalex.org/W1886819223","https://openalex.org/W1927360907","https://openalex.org/W1945186739","https://openalex.org/W1963110627","https://openalex.org/W1971224531","https://openalex.org/W1981383663","https://openalex.org/W2000982470","https://openalex.org/W2006228911","https://openalex.org/W2011329918","https://openalex.org/W2020944181","https://openalex.org/W2026043319","https://openalex.org/W2038570785","https://openalex.org/W2046538693","https://openalex.org/W2047345171","https://openalex.org/W2049047355","https://openalex.org/W2062626787","https://openalex.org/W2066000669","https://openalex.org/W2068746602","https://openalex.org/W2069397859","https://openalex.org/W2072890688","https://openalex.org/W2075410688","https://openalex.org/W2076185206","https://openalex.org/W2080267935","https://openalex.org/W2085467310","https://openalex.org/W2092996669","https://openalex.org/W2097144068","https://openalex.org/W2104180013","https://openalex.org/W2111578598","https://openalex.org/W2113667851","https://openalex.org/W2118382442","https://openalex.org/W2125161077","https://openalex.org/W2126072041","https://openalex.org/W2127270793","https://openalex.org/W2137590391","https://openalex.org/W2149020136","https://openalex.org/W2242439181","https://openalex.org/W2280483494","https://openalex.org/W2288284086","https://openalex.org/W2297772255","https://openalex.org/W2518487536","https://openalex.org/W2529500221","https://openalex.org/W2534652523","https://openalex.org/W2607183393","https://openalex.org/W2750777482","https://openalex.org/W2811402744","https://openalex.org/W2886281704","https://openalex.org/W2944603686","https://openalex.org/W2949883066","https://openalex.org/W2963712274","https://openalex.org/W2982504042","https://openalex.org/W3012124203","https://openalex.org/W3043749166","https://openalex.org/W3080935750","https://openalex.org/W3137726760","https://openalex.org/W3169361071","https://openalex.org/W4232702643","https://openalex.org/W4245931434","https://openalex.org/W4250777633"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4300631294","https://openalex.org/W2390183607","https://openalex.org/W2122917767","https://openalex.org/W3196342125","https://openalex.org/W86917440","https://openalex.org/W1819373035","https://openalex.org/W4320165485","https://openalex.org/W1974942814","https://openalex.org/W2898214470"],"abstract_inverted_index":{"Edge-coloured":[0],"directed":[1],"graphs":[2,33,47,72,179],"provide":[3],"an":[4,119,155],"essential":[5],"structure":[6],"for":[7,31],"modelling":[8,189],"and":[9,60,143],"analysis":[10],"of":[11,27,37,45,58,65,85,93,118,141,148,173,177],"complex":[12],"systems":[13,194],"arising":[14],"in":[15,49,55,193],"many":[16],"scientific":[17],"disciplines":[18],"(e.g.":[19],"feature-oriented":[20],"systems,":[21],"gene":[22],"regulatory":[23],"networks,":[24],"etc.).":[25],"One":[26],"the":[28,35,56,83,90,113,123,126,139,146,152,171],"fundamental":[29],"problems":[30],"edge-coloured":[32,46,120],"is":[34,138,145],"detection":[36,76,100],"strongly":[38,115],"connected":[39,116],"components,":[40],"or":[41],"SCCs.":[42],"The":[43,62],"size":[44],"appearing":[48,192],"practice":[50],"can":[51],"be":[52],"enormous":[53],"both":[54],"number":[57,64,92,140,147],"vertices":[59,66],"colours.":[61],"large":[63,91,175],"prevents":[67],"us":[68],"from":[69,184],"analysing":[70],"such":[71,78],"using":[73,154],"explicit":[74],"SCC":[75,99],"algorithms,":[77],"as":[79],"Tarjan's,":[80],"which":[81],"motivates":[82],"use":[84,166],"a":[86,106,174,188],"symbolic":[87,98,134],"approach.":[88],"However,":[89],"colours":[94,142],"also":[95],"renders":[96],"existing":[97],"algorithms":[101],"impractical.":[102],"This":[103],"paper":[104],"proposes":[105],"novel":[107],"algorithm":[108,127,153],"that":[109],"symbolically":[110],"computes":[111],"all":[112],"monochromatic":[114],"components":[117],"graph.":[121],"In":[122],"worst":[124],"case,":[125],"performs":[128],"$O(p":[129],"\\cdot":[130,132],"n":[131],"log~n)$":[133],"steps,":[135],"where":[136],"$p$":[137],"$n$":[144],"vertices.":[149],"We":[150],"evaluate":[151],"experimental":[156],"implementation":[157,168],"based":[158],"on":[159],"binary":[160],"decision":[161],"diagrams":[162],"(BDDs).":[163],"Specifically,":[164],"we":[165],"our":[167],"to":[169,181],"explore":[170],"SCCs":[172],"collection":[176],"coloured":[178],"(up":[180],"$2^{48}$)":[182],"obtained":[183],"Boolean":[185],"networks":[186],"--":[187],"framework":[190],"commonly":[191],"biology.":[195]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2021-09-13T00:00:00"}