{"id":"https://openalex.org/W7161155483","doi":"https://doi.org/10.1016/j.knosys.2026.116128","title":"A category-theoretic approach to causal equivalence: Mapping directed acyclic graphs to undirected prime graphs","display_name":"A category-theoretic approach to causal equivalence: Mapping directed acyclic graphs to undirected prime graphs","publication_year":2026,"publication_date":"2026-05-14","ids":{"openalex":"https://openalex.org/W7161155483","doi":"https://doi.org/10.1016/j.knosys.2026.116128"},"language":"en","primary_location":{"id":"doi:10.1016/j.knosys.2026.116128","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.knosys.2026.116128","pdf_url":null,"source":{"id":"https://openalex.org/S10169007","display_name":"Knowledge-Based Systems","issn_l":"0950-7051","issn":["0950-7051","1872-7409"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Knowledge-Based Systems","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/A5136180887","display_name":"Chao Wang","orcid":"https://orcid.org/0000-0003-4843-1953"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Chao Wang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4843-1953","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136126906","display_name":"Weiwei Fu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weiwei Fu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136101739","display_name":"Yang Zhou","orcid":"https://orcid.org/0009-0007-6937-2514"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang Zhou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5136180887"],"corresponding_institution_ids":[],"apc_list":{"value":3130,"currency":"USD","value_usd":3130},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.91308347,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"346","issue":null,"first_page":"116128","last_page":"116128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.579200029373169,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.579200029373169,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.061000000685453415,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.052000001072883606,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.5616000294685364},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4828000068664551},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.412200003862381},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.40700000524520874},{"id":"https://openalex.org/keywords/comparability-graph","display_name":"Comparability graph","score":0.3865000009536743},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.33000001311302185},{"id":"https://openalex.org/keywords/modular-decomposition","display_name":"Modular decomposition","score":0.3183000087738037}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5845000147819519},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.5616000294685364},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4828000068664551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45579999685287476},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.412200003862381},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4117000102996826},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.40700000524520874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39800000190734863},{"id":"https://openalex.org/C198414033","wikidata":"https://www.wikidata.org/wiki/Q5155607","display_name":"Comparability graph","level":5,"score":0.3865000009536743},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.33000001311302185},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.3183000087738037},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.3050000071525574},{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.29820001125335693},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2757999897003174},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.27059999108314514},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.2583000063896179}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.knosys.2026.116128","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.knosys.2026.116128","pdf_url":null,"source":{"id":"https://openalex.org/S10169007","display_name":"Knowledge-Based Systems","issn_l":"0950-7051","issn":["0950-7051","1872-7409"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4378605782985687,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1593793857","https://openalex.org/W1773149199","https://openalex.org/W1967416529","https://openalex.org/W2006147162","https://openalex.org/W2086331397","https://openalex.org/W2125615797","https://openalex.org/W2162082995","https://openalex.org/W2251512949","https://openalex.org/W2468822137","https://openalex.org/W2946086442","https://openalex.org/W2962764817","https://openalex.org/W2964345792","https://openalex.org/W2987734933","https://openalex.org/W3034772468","https://openalex.org/W3110435696","https://openalex.org/W4206192903","https://openalex.org/W4214490042","https://openalex.org/W4377694900","https://openalex.org/W4384820618","https://openalex.org/W4386102114","https://openalex.org/W4386390750","https://openalex.org/W4388753969","https://openalex.org/W4389520706","https://openalex.org/W4391260543","https://openalex.org/W4391684103","https://openalex.org/W4391897255","https://openalex.org/W4396494589","https://openalex.org/W4396923051","https://openalex.org/W4399490840","https://openalex.org/W4403628303","https://openalex.org/W4404202132","https://openalex.org/W4405047214","https://openalex.org/W4405894139","https://openalex.org/W4408803503","https://openalex.org/W4415551811"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2026-05-15T00:00:00"}
