{"id":"https://openalex.org/W2944084490","doi":"https://doi.org/10.3233/jifs-181478","title":"Gallai simplicial complexes","display_name":"Gallai simplicial complexes","publication_year":2019,"publication_date":"2019-05-09","ids":{"openalex":"https://openalex.org/W2944084490","doi":"https://doi.org/10.3233/jifs-181478","mag":"2944084490"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-181478","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-181478","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy 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/A5044427549","display_name":"Shahid Muhmood","orcid":null},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Shahid Muhmood","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, Lahore, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036146915","display_name":"Imran Ahmed","orcid":"https://orcid.org/0000-0001-8843-8020"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Imran Ahmed","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, Lahore, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078635521","display_name":"Adnan Liaquat","orcid":null},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Adnan Liaquat","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, Lahore, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036146915"],"corresponding_institution_ids":["https://openalex.org/I16076960"],"apc_list":null,"apc_paid":null,"fwci":0.4876,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57520053,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":"6","first_page":"5645","last_page":"5651"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9983999729156494,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/betti-number","display_name":"Betti number","score":0.8913136720657349},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6610641479492188},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6572712063789368},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5365142226219177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37123143672943115},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34170031547546387}],"concepts":[{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.8913136720657349},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6610641479492188},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6572712063789368},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5365142226219177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37123143672943115},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34170031547546387}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-181478","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-181478","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322799","display_name":"Higher Education Commission, Pakistan","ror":"https://ror.org/038y3sz68"},{"id":"https://openalex.org/F4320326275","display_name":"Higher Education Commision, Pakistan","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1542975694","https://openalex.org/W2000763343","https://openalex.org/W2010034882","https://openalex.org/W2027254298","https://openalex.org/W2055117070","https://openalex.org/W2081455745","https://openalex.org/W2618291481","https://openalex.org/W2963015793"],"related_works":["https://openalex.org/W2095493290","https://openalex.org/W2971813531","https://openalex.org/W4226419853","https://openalex.org/W2963974879","https://openalex.org/W2588877683","https://openalex.org/W4286888636","https://openalex.org/W3103916991","https://openalex.org/W2087869914","https://openalex.org/W2035886694","https://openalex.org/W2951400617"],"abstract_inverted_index":{"Let":[0],"\u0394":[1],"\u0393":[2,17],"(":[3,18],"G":[4,19,23,70],")":[5,20,132,164],"be":[6,39],"Gallai":[7,15,53],"simplicial":[8,54],"complex":[9,55],"defined":[10],"as":[11],"a":[12,25,67,133],"generalization":[13],"of":[14,52,74,136],"graph":[16,59,69,91,134],"such":[21,169],"that":[22,66,170],"is":[24,88],"finite":[26],"simple":[27,68],"graph.":[28],"The":[29],"Betti":[30,50],"numbers":[31,51],"are":[32],"topological":[33],"objects":[34],"which":[35],"were":[36],"proved":[37],"to":[38,57],"invariants":[40],"by":[41,60],"Poincar\u00e9.":[42],"In":[43],"this":[44],"note,":[45],"we":[46],"give":[47],"formula":[48],"for":[49,92],"associated":[56],"prism":[58],"coding":[61],"in":[62],"MATLAB.":[63],"We":[64],"prove":[65],"having":[71],"n":[72,77],"vertices":[73,168],"the":[75],"form":[76],"=":[78],"3":[79,84,87],"l":[80,85,141,158,162,166,171],"+":[81,86],"2":[82,140,157,161],"or":[83],"f":[89],"-Gallai":[90],"<mml:math":[93,112,143],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[94,113,144],"overflow=\"scroll\">":[95,114,145],"<mml:mi>G</mml:mi>":[96,115],"<mml:mo>=</mml:mo>":[97,116],"<mml:msub>":[98,117],"<mml:mrow>":[99,105,118,124,148],"<mml:mstyle":[100,119],"mathvariant=\"double-struck\">":[101,120],"<mml:mi>\ud835\udd4a</mml:mi>":[102,121],"</mml:mstyle>":[103,122],"</mml:mrow>":[104,108,123,129,151],"<mml:mn>4</mml:mn>":[106,125],"<mml:mi>l</mml:mi>":[107,126,150],"</mml:msub>":[109,130],"</mml:math>":[110,131,154],"(respectively":[111,155],"<mml:mo>+</mml:mo>":[127],"<mml:mn>1</mml:mn>":[128],"consisting":[135],"star":[137],"graphs":[138],"S":[139,156,160],"and":[142,159],"<mml:msubsup>":[146],"<mml:mi>S</mml:mi>":[147],"<mml:mn>2</mml:mn>":[149],"<mml:mo>\u2032</mml:mo>":[152],"</mml:msubsup>":[153],"+1":[163],"with":[165],"common":[167],"\u2265":[172],"2.":[173]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
