{"id":"https://openalex.org/W2904592667","doi":"https://doi.org/10.1109/access.2018.2885563","title":"A Graph-Theory-Based Method for Topological and Dimensional Representation of Planar Mechanisms as a Computational Tool for Engineering Design","display_name":"A Graph-Theory-Based Method for Topological and Dimensional Representation of Planar Mechanisms as a Computational Tool for Engineering Design","publication_year":2018,"publication_date":"2018-12-07","ids":{"openalex":"https://openalex.org/W2904592667","doi":"https://doi.org/10.1109/access.2018.2885563","mag":"2904592667"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2885563","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2885563","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08567881.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08567881.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061146491","display_name":"Eric Santiago-Valent\u00edn","orcid":"https://orcid.org/0000-0002-3197-9544"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Eric Santiago-Valenten","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0002-3197-9544","affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055796555","display_name":"Edgar Alfredo Portilla-Flores","orcid":"https://orcid.org/0000-0002-8951-1346"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Edgar Alfredo Portilla-Flores","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0002-8951-1346","affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058469717","display_name":"Efr\u00e9n Mezura\u2010Montes","orcid":"https://orcid.org/0000-0002-1565-5267"},"institutions":[{"id":"https://openalex.org/I147280213","display_name":"Universidad Veracruzana","ror":"https://ror.org/03efxn362","country_code":"MX","type":"education","lineage":["https://openalex.org/I147280213"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Efren Mezura-Montes","raw_affiliation_strings":["Centro de Investigac\u00edon en Inteligencia Artificial, Universidad Veracruzana, Xalapa, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Investigac\u00edon en Inteligencia Artificial, Universidad Veracruzana, Xalapa, M\u00e9xico","institution_ids":["https://openalex.org/I147280213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067451440","display_name":"Eduardo Vega-Alvarado","orcid":"https://orcid.org/0000-0001-9464-7996"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Eduardo Vega-Alvarado","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0001-9464-7996","affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003751272","display_name":"Mar\u00eda Barbara Calva-Y\u00e1\u00f1ez","orcid":"https://orcid.org/0000-0003-3500-4880"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Maria Barbara Calva-Yanez","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0003-3500-4880","affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021362565","display_name":"Martin Pedroza-Villalba","orcid":"https://orcid.org/0000-0001-8208-5244"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Martin Pedroza-Villalba","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0001-8208-5244","affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional\u2013CIDETEC\u2013Group of Research and Innovation in Mechatronics\u2013GRIM, M\u00e9xico, M\u00e9xico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6765,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.72914711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"587","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11115","display_name":"Topology Optimization in Engineering","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9937000274658203,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/adjacency-matrix","display_name":"Adjacency matrix","score":0.6379004716873169},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6053081750869751},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.5422613620758057},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5191049575805664},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5181626081466675},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5099891424179077},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.48830127716064453},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4769957363605499},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4501115381717682},{"id":"https://openalex.org/keywords/topological-graph","display_name":"Topological graph","score":0.4425819218158722},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4303470253944397},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.420463889837265},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38789093494415283},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3819289207458496},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26293426752090454}],"concepts":[{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.6379004716873169},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6053081750869751},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.5422613620758057},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5191049575805664},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5181626081466675},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5099891424179077},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.48830127716064453},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4769957363605499},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4501115381717682},{"id":"https://openalex.org/C8764922","wikidata":"https://www.wikidata.org/wiki/Q17104195","display_name":"Topological graph","level":3,"score":0.4425819218158722},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4303470253944397},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.420463889837265},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38789093494415283},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3819289207458496},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26293426752090454},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2885563","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2885563","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08567881.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ee8141282999441da2138aeaec6ac155","is_oa":true,"landing_page_url":"https://doaj.org/article/ee8141282999441da2138aeaec6ac155","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 587-596 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2885563","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2885563","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08567881.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321694","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"},{"id":"https://openalex.org/F4320324217","display_name":"Comisi\u00f3n de Operaci\u00f3n y Fomento de Actividades Acad\u00e9micas, Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904592667.pdf","grobid_xml":"https://content.openalex.org/works/W2904592667.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W91541789","https://openalex.org/W339759996","https://openalex.org/W1443057221","https://openalex.org/W1575923498","https://openalex.org/W1966225579","https://openalex.org/W1968927530","https://openalex.org/W1988902128","https://openalex.org/W1990084845","https://openalex.org/W1991334813","https://openalex.org/W1993277565","https://openalex.org/W1998674867","https://openalex.org/W2007750701","https://openalex.org/W2009695009","https://openalex.org/W2023267503","https://openalex.org/W2026717547","https://openalex.org/W2034806020","https://openalex.org/W2054314333","https://openalex.org/W2056458695","https://openalex.org/W2064703296","https://openalex.org/W2094209213","https://openalex.org/W2125458942","https://openalex.org/W2132034927","https://openalex.org/W2135620844","https://openalex.org/W2145479420","https://openalex.org/W2157033597","https://openalex.org/W2287077495","https://openalex.org/W2414024476","https://openalex.org/W2472028905","https://openalex.org/W2551179323","https://openalex.org/W2561521509","https://openalex.org/W2586910513","https://openalex.org/W2618058081","https://openalex.org/W2744688842","https://openalex.org/W2780731649","https://openalex.org/W2793144805","https://openalex.org/W2796420015","https://openalex.org/W2796504117","https://openalex.org/W6750908757"],"related_works":["https://openalex.org/W4213150077","https://openalex.org/W2369410163","https://openalex.org/W2059018062","https://openalex.org/W2078477160","https://openalex.org/W1989103179","https://openalex.org/W1991172810","https://openalex.org/W2117632582","https://openalex.org/W4388347373","https://openalex.org/W2604585036","https://openalex.org/W125803343"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,32,81,146],"graph-theory-based":[4],"approach":[5],"for":[6,50,151],"representing":[7,117],"planar":[8,33,163],"mechanisms":[9],"is":[10,85],"presented,":[11],"the":[12,18,28,37,51,58,70,78,91,94,103,113,118,124,129,134,139,152,155,160],"Santiago":[13],"Portilla":[14],"method":[15],"(SPM).":[16],"From":[17],"corresponding":[19,76],"adjacency":[20],"matrix,":[21],"SPM":[22,140],"generates":[23],"an":[24,106],"extended":[25],"matrix":[26,45,125,143],"containing":[27],"complete":[29],"characterization":[30],"of":[31,54,65,80,93,133,154,162],"mechanism,":[34],"including":[35],"all":[36],"information":[38],"about":[39],"both":[40],"topology":[41],"and":[42,60,109,141,148],"geometry.":[43],"This":[44],"representation":[46,144],"can":[47],"be":[48],"used":[49],"optimal":[52],"design":[53,79,104,161],"mechanisms,":[55],"allowing":[56],"simultaneously":[57],"topological":[59],"dimensional":[61],"synthesis":[62],"by":[63,101,123,128],"means":[64],"computational":[66],"tools":[67],"such":[68],"as":[69,105],"metaheuristic":[71],"algorithms.":[72],"A":[73],"case":[74,135],"study":[75,136],"to":[77,89],"fixed-linear-trajectory":[82],"tracker":[83],"mechanism":[84],"included":[86],"in":[87,120],"order":[88],"test":[90],"efficiency":[92],"proposed":[95],"approach.":[96],"It":[97],"was":[98],"carried":[99],"out":[100],"addressing":[102],"optimization":[107],"problem":[108],"solving":[110],"it":[111],"with":[112],"differential":[114],"evolution":[115],"algorithm,":[116],"individuals":[119],"its":[121,142],"population":[122],"form":[126],"generated":[127],"SPM.":[130],"The":[131],"results":[132],"show":[137],"that":[138],"constitute":[145],"useful":[147],"flexible":[149],"tool":[150],"solution":[153],"real":[156],"engineering":[157],"problems":[158],"involving":[159],"mechanisms.":[164]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
