{"id":"https://openalex.org/W2127224391","doi":"https://doi.org/10.1109/aiccsa.2010.5587024","title":"The genus of the complete multipartite graph and the complete multi-layered graph","display_name":"The genus of the complete multipartite graph and the complete multi-layered graph","publication_year":2010,"publication_date":"2010-05-01","ids":{"openalex":"https://openalex.org/W2127224391","doi":"https://doi.org/10.1109/aiccsa.2010.5587024","mag":"2127224391"},"language":"en","primary_location":{"id":"doi:10.1109/aiccsa.2010.5587024","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aiccsa.2010.5587024","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACS/IEEE International Conference on Computer Systems and Applications - AICCSA 2010","raw_type":"proceedings-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/A5109242054","display_name":"Sa\u00efd Bettayeb","orcid":null},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]},{"id":"https://openalex.org/I52913039","display_name":"University of Houston - Clear Lake","ror":"https://ror.org/01t817z14","country_code":"US","type":"education","lineage":["https://openalex.org/I52913039"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Said Bettayeb","raw_affiliation_strings":["School of Science and Computer Engineering, University of Houston, Houston, TX, USA","School of Science and Computer Engineering, University of Houston Clear Lake, TX 77058, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Computer Engineering, University of Houston, Houston, TX, USA","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"School of Science and Computer Engineering, University of Houston Clear Lake, TX 77058, USA","institution_ids":["https://openalex.org/I52913039"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072875111","display_name":"Quan T. Nguyen","orcid":null},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Quan T. Nguyen","raw_affiliation_strings":["Johnson School of Engineering and Computer Science, University of Texas, Dallas, Richardson, TX, USA","Johnson School of Engineering and Computer Science, University of Texas at Dallas, Richardson, 75080, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johnson School of Engineering and Computer Science, University of Texas, Dallas, Richardson, TX, USA","institution_ids":["https://openalex.org/I162577319"]},{"raw_affiliation_string":"Johnson School of Engineering and Computer Science, University of Texas at Dallas, Richardson, 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.2028918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/null-graph","display_name":"Null graph","score":0.5812116265296936},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.579826831817627},{"id":"https://openalex.org/keywords/simplex-graph","display_name":"Simplex graph","score":0.5553111433982849},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.5530230402946472},{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.48977136611938477},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47673285007476807},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47376373410224915},{"id":"https://openalex.org/keywords/complement-graph","display_name":"Complement graph","score":0.4701552391052246},{"id":"https://openalex.org/keywords/butterfly-graph","display_name":"Butterfly graph","score":0.4617616534233093},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4468720853328705},{"id":"https://openalex.org/keywords/windmill-graph","display_name":"Windmill graph","score":0.4460500180721283},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.4332914650440216},{"id":"https://openalex.org/keywords/complete-graph","display_name":"Complete graph","score":0.4128308892250061},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40953925251960754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3792376220226288},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37832093238830566},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05924999713897705}],"concepts":[{"id":"https://openalex.org/C17169500","wikidata":"https://www.wikidata.org/wiki/Q3033506","display_name":"Null graph","level":5,"score":0.5812116265296936},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.579826831817627},{"id":"https://openalex.org/C202183611","wikidata":"https://www.wikidata.org/wiki/Q7520883","display_name":"Simplex graph","level":5,"score":0.5553111433982849},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.5530230402946472},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.48977136611938477},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47673285007476807},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47376373410224915},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.4701552391052246},{"id":"https://openalex.org/C18819970","wikidata":"https://www.wikidata.org/wiki/Q3035340","display_name":"Butterfly graph","level":5,"score":0.4617616534233093},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4468720853328705},{"id":"https://openalex.org/C73380178","wikidata":"https://www.wikidata.org/wiki/Q8024306","display_name":"Windmill graph","level":5,"score":0.4460500180721283},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.4332914650440216},{"id":"https://openalex.org/C125080357","wikidata":"https://www.wikidata.org/wiki/Q45715","display_name":"Complete graph","level":3,"score":0.4128308892250061},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40953925251960754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3792376220226288},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37832093238830566},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05924999713897705},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/aiccsa.2010.5587024","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aiccsa.2010.5587024","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACS/IEEE International Conference on Computer Systems and Applications - AICCSA 2010","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1508143344","https://openalex.org/W2104852618","https://openalex.org/W2127970608","https://openalex.org/W2153347500","https://openalex.org/W2612978016","https://openalex.org/W2799004609","https://openalex.org/W4213214460"],"related_works":["https://openalex.org/W4385381900","https://openalex.org/W1999761254","https://openalex.org/W2802056929","https://openalex.org/W2371987308","https://openalex.org/W2048112267","https://openalex.org/W2350241994","https://openalex.org/W2389666784","https://openalex.org/W2391570583","https://openalex.org/W2378085322","https://openalex.org/W2050157065"],"abstract_inverted_index":{"The":[0],"complete":[1,6,14,48,53],"multipartite":[2,49],"graph":[3,8,50,55,69],"and":[4,25,51],"the":[5,13,44,47,52],"multi-layered":[7,54],"are":[9],"both":[10],"generalizations":[11],"of":[12,20,31,46],"bipartite":[15],"graph.":[16],"These":[17],"two":[18],"kinds":[19],"graphs":[21],"have":[22],"recursive":[23],"structure":[24],"offer":[26],"a":[27,37,64],"very":[28],"flexible":[29],"choice":[30],"network":[32,39,66],"size":[33],"with":[34],"respect":[35],"to":[36],"fixed":[38],"order.":[40],"This":[41],"paper":[42],"addresses":[43],"genus":[45],"which":[56],"measures":[57],"how":[58],"efficiently":[59],"we":[60],"can":[61],"set":[62],"up":[63],"computer":[65],"using":[67],"these":[68],"layouts.":[70]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
