{"id":"https://openalex.org/W7128683567","doi":"https://doi.org/10.1007/978-3-032-17156-6_18","title":"Directed Weakly Modular Graphs and\u00a0Their Directed Interval Functions","display_name":"Directed Weakly Modular Graphs and\u00a0Their Directed Interval Functions","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7128683567","doi":"https://doi.org/10.1007/978-3-032-17156-6_18"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-17156-6_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-17156-6_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5046061216","display_name":"Lekshmi Kamal K. Sheela","orcid":"https://orcid.org/0000-0002-8527-3280"},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Lekshmi Kamal K. Sheela","raw_affiliation_strings":["Department of Mathematics, University of Kerala, Karyavattom Campus, Thiruvananthapuram, 695581, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kerala, Karyavattom Campus, Thiruvananthapuram, 695581, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074448757","display_name":"Manoj Changat","orcid":"https://orcid.org/0000-0001-7257-6031"},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Manoj Changat","raw_affiliation_strings":["Department of Futures Studies, University of Kerala, Karyavattom Campus, Thiruvananthapuram, 695 581, India"],"affiliations":[{"raw_affiliation_string":"Department of Futures Studies, University of Kerala, Karyavattom Campus, Thiruvananthapuram, 695 581, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125690044","display_name":"M. R. Chithra","orcid":null},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. R. Chithra","raw_affiliation_strings":["Department of Mathematics, University of Kerala, Karyavattom Campus, Thiruvananthapuram, 695581, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kerala, Karyavattom Campus, Thiruvananthapuram, 695581, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5125719529","display_name":"Peter F. Stadler","orcid":null},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]},{"id":"https://openalex.org/I1308548392","display_name":"Santa Fe Institute","ror":"https://ror.org/01arysc35","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308548392"]},{"id":"https://openalex.org/I36243813","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68","country_code":"CO","type":"education","lineage":["https://openalex.org/I36243813"]},{"id":"https://openalex.org/I40900055","display_name":"Telstra (Australia)","ror":"https://ror.org/04g047260","country_code":"AU","type":"company","lineage":["https://openalex.org/I40900055"]},{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["AT","AU","CO","DE","US"],"is_corresponding":false,"raw_author_name":"Peter F. Stadler","raw_affiliation_strings":["Department Computer Science, and Interdisciplinary Center for Bioinformatics, University Leipzig, H\u00e4rtelstr. 16\u201318, Leipzig, Germany","Department Theoretical Chemistry, University Vienna, W\u00e4hringerstr. 17, Wien, Austria","Facultad de Ciencias, Universidad Nacional de Colombia, Sede Bogot\u00e1, Ciudad Universitaria, COL-111321, Bogot\u00e1, D.C., Colombia","MPI Mathematics in the Sciences, Inselstr 22, Leipzig, Germany","Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, USA"],"affiliations":[{"raw_affiliation_string":"Department Computer Science, and Interdisciplinary Center for Bioinformatics, University Leipzig, H\u00e4rtelstr. 16\u201318, Leipzig, Germany","institution_ids":["https://openalex.org/I40900055"]},{"raw_affiliation_string":"Department Theoretical Chemistry, University Vienna, W\u00e4hringerstr. 17, Wien, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Facultad de Ciencias, Universidad Nacional de Colombia, Sede Bogot\u00e1, Ciudad Universitaria, COL-111321, Bogot\u00e1, D.C., Colombia","institution_ids":["https://openalex.org/I36243813"]},{"raw_affiliation_string":"MPI Mathematics in the Sciences, Inselstr 22, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, USA","institution_ids":["https://openalex.org/I1308548392"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074448757"],"corresponding_institution_ids":["https://openalex.org/I158338959"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.52682927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"236","last_page":"249"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.40389999747276306,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.40389999747276306,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.1639000028371811,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.14839999377727509,"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/modular-design","display_name":"Modular design","score":0.6345999836921692},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.6100000143051147},{"id":"https://openalex.org/keywords/modular-decomposition","display_name":"Modular decomposition","score":0.5430999994277954},{"id":"https://openalex.org/keywords/interval-graph","display_name":"Interval graph","score":0.4650999903678894},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46059998869895935},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.45680001378059387},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.45509999990463257},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.40540000796318054}],"concepts":[{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6345999836921692},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.6100000143051147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5591999888420105},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.5430999994277954},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4708000123500824},{"id":"https://openalex.org/C67810366","wikidata":"https://www.wikidata.org/wiki/Q835942","display_name":"Interval graph","level":5,"score":0.4650999903678894},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46059998869895935},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.45680001378059387},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.45509999990463257},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44670000672340393},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4023999869823456},{"id":"https://openalex.org/C68103157","wikidata":"https://www.wikidata.org/wiki/Q569347","display_name":"Graph product","level":5,"score":0.364300012588501},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.337799996137619},{"id":"https://openalex.org/C198414033","wikidata":"https://www.wikidata.org/wiki/Q5155607","display_name":"Comparability graph","level":5,"score":0.325300008058548},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.31439998745918274},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.27970001101493835},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.27649998664855957},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.27549999952316284},{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C43413943","wikidata":"https://www.wikidata.org/wiki/Q4927193","display_name":"Block graph","level":5,"score":0.25450000166893005}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-17156-6_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-17156-6_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4671623408794403}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1706395838","https://openalex.org/W2088304143","https://openalex.org/W2107423338","https://openalex.org/W2141517371","https://openalex.org/W2148760280","https://openalex.org/W2548712227","https://openalex.org/W2735057233","https://openalex.org/W4288281500","https://openalex.org/W4407367665"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-02-14T06:23:00.392402","created_date":"2026-02-13T00:00:00"}