{"id":"https://openalex.org/W2136544532","doi":"https://doi.org/10.1007/978-3-642-38164-5_4","title":"The Algebra of Directed Acyclic Graphs","display_name":"The Algebra of Directed Acyclic Graphs","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2136544532","doi":"https://doi.org/10.1007/978-3-642-38164-5_4","mag":"2136544532"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-38164-5_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38164-5_4","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":"conference-paper","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/A5080675787","display_name":"Marcelo Fiore","orcid":"https://orcid.org/0000-0001-8558-3492"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Marcelo Fiore","raw_affiliation_strings":["Computer Laboratory, University of Cambridge, UK","University of Cambridge,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Laboratory, University of Cambridge, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"University of Cambridge,","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009930431","display_name":"Marco Devesas Campos","orcid":"https://orcid.org/0000-0001-6675-4671"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Marco Devesas Campos","raw_affiliation_strings":["Computer Laboratory, University of Cambridge, UK","University of Cambridge,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Laboratory, University of Cambridge, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"University of Cambridge,","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.5169,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.91096381,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"37","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9950000047683716,"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/T10142","display_name":"Formal Methods in Verification","score":0.9932000041007996,"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/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.839779794216156},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.6814664006233215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.597981870174408},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5951247215270996},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.5932689905166626},{"id":"https://openalex.org/keywords/graph-algebra","display_name":"Graph algebra","score":0.545294463634491},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.49091774225234985},{"id":"https://openalex.org/keywords/universal-algebra","display_name":"Universal algebra","score":0.46902361512184143},{"id":"https://openalex.org/keywords/algebraic-semantics","display_name":"Algebraic semantics","score":0.46440932154655457},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3834128975868225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2905232310295105},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2708740830421448},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.25631195306777954},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2000972330570221},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13345184922218323},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.080516517162323},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.07381874322891235}],"concepts":[{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.839779794216156},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.6814664006233215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.597981870174408},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5951247215270996},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.5932689905166626},{"id":"https://openalex.org/C45961005","wikidata":"https://www.wikidata.org/wiki/Q5597072","display_name":"Graph algebra","level":5,"score":0.545294463634491},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.49091774225234985},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.46902361512184143},{"id":"https://openalex.org/C2779729104","wikidata":"https://www.wikidata.org/wiki/Q4724013","display_name":"Algebraic semantics","level":3,"score":0.46440932154655457},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3834128975868225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2905232310295105},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2708740830421448},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25631195306777954},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2000972330570221},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13345184922218323},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.080516517162323},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.07381874322891235}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-38164-5_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38164-5_4","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1588422495","https://openalex.org/W1662196352","https://openalex.org/W2034851406","https://openalex.org/W2120076632","https://openalex.org/W2148790674","https://openalex.org/W2162340558","https://openalex.org/W4241220941","https://openalex.org/W4244525635","https://openalex.org/W4294621147"],"related_works":["https://openalex.org/W2146569528","https://openalex.org/W1998712144","https://openalex.org/W4287028074","https://openalex.org/W2106828717","https://openalex.org/W3191289342","https://openalex.org/W4300165677","https://openalex.org/W4297817344","https://openalex.org/W4299728988","https://openalex.org/W2949290869","https://openalex.org/W2136544532"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}