{"id":"https://openalex.org/W2021930057","doi":"https://doi.org/10.1109/tsmc.1980.4308468","title":"Graph Optimal Monomorphism Algorithms","display_name":"Graph Optimal Monomorphism Algorithms","publication_year":1980,"publication_date":"1980-01-01","ids":{"openalex":"https://openalex.org/W2021930057","doi":"https://doi.org/10.1109/tsmc.1980.4308468","mag":"2021930057"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.1980.4308468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.1980.4308468","pdf_url":null,"source":{"id":"https://openalex.org/S76152103","display_name":"IEEE Transactions on Systems Man and Cybernetics","issn_l":"0018-9472","issn":["0018-9472","2168-2909"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics","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/A5084261042","display_name":"David E. Ghahraman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David E. Ghahraman","raw_affiliation_strings":["Megatest Corporation, Santa Clara, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Megatest Corporation, Santa Clara, CA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051841038","display_name":"Andrew K. C. Wong","orcid":"https://orcid.org/0000-0002-0019-7152"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Andrew K. C. Wong","raw_affiliation_strings":["University of Waterloo, Waterloo, ONT, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048182625","display_name":"Tung Au","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tung Au","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.7547,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.98524106,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"10","issue":"4","first_page":"181","last_page":"188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monomorphism","display_name":"Monomorphism","score":0.864650547504425},{"id":"https://openalex.org/keywords/graph-reduction","display_name":"Graph reduction","score":0.5593065023422241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5553354024887085},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.533008873462677},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5313860774040222},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5163872838020325},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.43582507967948914},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4215620756149292},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4164499044418335},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3788268566131592},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2678283751010895},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.15734562277793884},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.07383599877357483}],"concepts":[{"id":"https://openalex.org/C100036529","wikidata":"https://www.wikidata.org/wiki/Q1945067","display_name":"Monomorphism","level":3,"score":0.864650547504425},{"id":"https://openalex.org/C97042676","wikidata":"https://www.wikidata.org/wiki/Q5597097","display_name":"Graph reduction","level":3,"score":0.5593065023422241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5553354024887085},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.533008873462677},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5313860774040222},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5163872838020325},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.43582507967948914},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4215620756149292},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4164499044418335},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3788268566131592},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2678283751010895},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.15734562277793884},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.07383599877357483},{"id":"https://openalex.org/C42383842","wikidata":"https://www.wikidata.org/wiki/Q193076","display_name":"Functional programming","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.1980.4308468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.1980.4308468","pdf_url":null,"source":{"id":"https://openalex.org/S76152103","display_name":"IEEE Transactions on Systems Man and Cybernetics","issn_l":"0018-9472","issn":["0018-9472","2168-2909"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W41728724","https://openalex.org/W82276609","https://openalex.org/W1518650433","https://openalex.org/W1520376281","https://openalex.org/W1602667807","https://openalex.org/W1608549080","https://openalex.org/W1787084044","https://openalex.org/W1966081460","https://openalex.org/W1968832026","https://openalex.org/W1974939198","https://openalex.org/W1977866540","https://openalex.org/W1979412257","https://openalex.org/W1979622972","https://openalex.org/W1980129108","https://openalex.org/W1987179556","https://openalex.org/W1987747103","https://openalex.org/W2000874574","https://openalex.org/W2021930057","https://openalex.org/W2024182184","https://openalex.org/W2045798786","https://openalex.org/W2051536351","https://openalex.org/W2057040510","https://openalex.org/W2072755230","https://openalex.org/W2078162318","https://openalex.org/W2094139270","https://openalex.org/W2105038716","https://openalex.org/W2144931885","https://openalex.org/W2222512263","https://openalex.org/W2291931960","https://openalex.org/W2590685552","https://openalex.org/W4245236715","https://openalex.org/W4253172558","https://openalex.org/W4285719527","https://openalex.org/W6601725199","https://openalex.org/W6631249596","https://openalex.org/W6636172856","https://openalex.org/W6637966829"],"related_works":["https://openalex.org/W2963909210","https://openalex.org/W2061114238","https://openalex.org/W2365848437","https://openalex.org/W2791459131","https://openalex.org/W2805171307","https://openalex.org/W2165454531","https://openalex.org/W4378978929","https://openalex.org/W2891582991","https://openalex.org/W3101803593","https://openalex.org/W2021930057"],"abstract_inverted_index":{"The":[0,28,62],"characterization":[1],"of":[2,7,10,37,59],"graph":[3,13,25,74],"morphisms":[4],"in":[5,67],"terms":[6],"the":[8,11,35,38,57,60,72],"subgraphs":[9],"Cartesian":[12],"product":[14],"is":[15,32,49],"extended":[16],"and":[17,43],"used":[18,66],"to":[19,51],"develop":[20],"algorithms":[21],"for":[22,71],"an":[23],"optimal":[24,73],"monomorphism":[26,75],"problem.":[27,76],"objective":[29],"functional":[30],"considered":[31],"defined":[33],"as":[34],"sum":[36],"weights":[39],"associated":[40],"with":[41],"vertex":[42],"arc":[44],"mappings.":[45],"A":[46],"reduction":[47],"algorithm":[48,70],"proposed":[50],"obtain":[52],"sharp":[53],"lower":[54,63],"bounds":[55,64],"on":[56],"value":[58],"solution.":[61],"are":[65],"a":[68],"branch-and-bound":[69]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
