{"id":"https://openalex.org/W2770921868","doi":"https://doi.org/10.1142/s179383091850009x","title":"A correction on the signed bad number","display_name":"A correction on the signed bad number","publication_year":2017,"publication_date":"2017-11-23","ids":{"openalex":"https://openalex.org/W2770921868","doi":"https://doi.org/10.1142/s179383091850009x","mag":"2770921868"},"language":"en","primary_location":{"id":"doi:10.1142/s179383091850009x","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s179383091850009x","pdf_url":"https://www.worldscientific.com/doi/pdf/10.1142/S179383091850009X","source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.worldscientific.com/doi/pdf/10.1142/S179383091850009X","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010585435","display_name":"J. Amjadi","orcid":null},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"J. Amjadi","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran","institution_ids":["https://openalex.org/I51301133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005154718","display_name":"R. Khoeilar","orcid":"https://orcid.org/0000-0002-2981-3625"},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"R. Khoeilar","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran","institution_ids":["https://openalex.org/I51301133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080730298","display_name":"M. Soroudi","orcid":"https://orcid.org/0000-0002-6677-6835"},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M. Soroudi","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran","institution_ids":["https://openalex.org/I51301133"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080730298"],"corresponding_institution_ids":["https://openalex.org/I51301133"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16307501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"01","first_page":"1850009","last_page":"1850009"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9993000030517578,"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/T11797","display_name":"graph theory and CDMA systems","score":0.998199999332428,"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/bipartite-graph","display_name":"Bipartite graph","score":0.7976495027542114},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7113513946533203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6586356163024902},{"id":"https://openalex.org/keywords/signed-graph","display_name":"Signed graph","score":0.5748999118804932},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.538258969783783},{"id":"https://openalex.org/keywords/complete-bipartite-graph","display_name":"Complete bipartite graph","score":0.5300645232200623},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49924492835998535},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4765908420085907},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46517086029052734},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45004212856292725}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7976495027542114},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7113513946533203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6586356163024902},{"id":"https://openalex.org/C2779773260","wikidata":"https://www.wikidata.org/wiki/Q11246292","display_name":"Signed graph","level":3,"score":0.5748999118804932},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.538258969783783},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.5300645232200623},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49924492835998535},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4765908420085907},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46517086029052734},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45004212856292725},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179383091850009x","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s179383091850009x","pdf_url":"https://www.worldscientific.com/doi/pdf/10.1142/S179383091850009X","source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1142/s179383091850009x","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s179383091850009x","pdf_url":"https://www.worldscientific.com/doi/pdf/10.1142/S179383091850009X","source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2770921868.pdf","grobid_xml":"https://content.openalex.org/works/W2770921868.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2017843059","https://openalex.org/W3141776272"],"related_works":["https://openalex.org/W2091826982","https://openalex.org/W3193644910","https://openalex.org/W1867093928","https://openalex.org/W3208430676","https://openalex.org/W245205139","https://openalex.org/W2036057584","https://openalex.org/W4246000090","https://openalex.org/W2107875203","https://openalex.org/W4234658180","https://openalex.org/W3206955298"],"abstract_inverted_index":{"A":[0],"signed":[1,37,57],"bad":[2,38,58],"function":[3,10],"of":[4,32,75,111],"[Formula:":[5,11,16,21,25,33,41,77,80,113,116],"see":[6,12,17,22,26,34,42,78,81,114,117],"text]":[7,13,18,23,27],"is":[8,28,40,92],"a":[9,87],"such":[14],"that":[15,70,106],"for":[19,71,107],"every":[20],"where":[24],"the":[29,90,123],"closed":[30],"neighborhood":[31],"text].":[35,43,82],"The":[36,56],"number":[39],"Ghameshlou":[44],"et":[45],"al.":[46],"[A.":[47],"N.":[48],"Ghameshlou,":[49],"A.":[50],"Khodkar":[51],"and":[52,89,104,119],"S.":[53],"M.":[54],"Sheikholeslami,":[55],"numbers":[59],"in":[60,95],"graphs,":[61],"Discrete":[62],"Math.":[63],"Algorithms":[64],"Appl.":[65],"1":[66],"(2011)":[67],"33\u201341]":[68],"proved":[69],"any":[72,108],"bipartite":[73,109,124],"graph":[74,110],"order":[76,112],"text],":[79,115,118],"But":[83],"their":[84,102],"proof":[85,103],"has":[86],"gap":[88],"bound":[91],"not":[93],"correct":[94],"general.":[96],"In":[97],"this":[98,127],"note,":[99],"we":[100,121],"modify":[101],"show":[105],"also":[120],"characterize":[122],"graphs":[125],"attaining":[126],"bound.":[128]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}