{"id":"https://openalex.org/W2469420167","doi":"https://doi.org/10.1142/s012905411650012x","title":"Vertex-Neighbor-Scattering Number of Bipartite Graphs","display_name":"Vertex-Neighbor-Scattering Number of Bipartite Graphs","publication_year":2016,"publication_date":"2016-06-01","ids":{"openalex":"https://openalex.org/W2469420167","doi":"https://doi.org/10.1142/s012905411650012x","mag":"2469420167"},"language":"en","primary_location":{"id":"doi:10.1142/s012905411650012x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s012905411650012x","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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":"International Journal of Foundations of Computer Science","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/A5070774093","display_name":"Zongtian Wei","orcid":"https://orcid.org/0000-0002-1642-8816"},"institutions":[{"id":"https://openalex.org/I148099405","display_name":"Xi'an University of Architecture and Technology","ror":"https://ror.org/04v2j2k71","country_code":"CN","type":"education","lineage":["https://openalex.org/I148099405"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zongtian Wei","raw_affiliation_strings":["School of Science, Xi'an University of Architecture and Technology, Xi'an, Shaanxi 710055, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Science, Xi'an University of Architecture and Technology, Xi'an, Shaanxi 710055, P. R. China","institution_ids":["https://openalex.org/I148099405"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031560269","display_name":"Nannan Qi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nannan Qi","raw_affiliation_strings":["Science and Technology Laboratory, Luoyang Institute of Electro-Optic Equipment, Luoyang, Henan 471009, P. R. China"],"affiliations":[{"raw_affiliation_string":"Science and Technology Laboratory, Luoyang Institute of Electro-Optic Equipment, Luoyang, Henan 471009, P. R. China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045796612","display_name":"Xiaokui Yue","orcid":"https://orcid.org/0000-0001-6482-0129"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaokui Yue","raw_affiliation_strings":["School of Astronautics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070774093"],"corresponding_institution_ids":["https://openalex.org/I148099405"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06638591,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"27","issue":"04","first_page":"501","last_page":"509"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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/T11476","display_name":"Graph theory and applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/combinatorics","display_name":"Combinatorics","score":0.8337596654891968},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7207071781158447},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6602395176887512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6268726587295532},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49883270263671875},{"id":"https://openalex.org/keywords/complete-bipartite-graph","display_name":"Complete bipartite graph","score":0.48461422324180603},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.469982773065567},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.4256637692451477},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.41969209909439087},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3720153868198395}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8337596654891968},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7207071781158447},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6602395176887512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6268726587295532},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49883270263671875},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.48461422324180603},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.469982773065567},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.4256637692451477},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.41969209909439087},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3720153868198395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s012905411650012x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s012905411650012x","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W29035179","https://openalex.org/W1984394682","https://openalex.org/W2071850839"],"related_works":["https://openalex.org/W2091826982","https://openalex.org/W2036057584","https://openalex.org/W2107875203","https://openalex.org/W245205139","https://openalex.org/W2921162226","https://openalex.org/W4234658180","https://openalex.org/W4300919538","https://openalex.org/W2949735222","https://openalex.org/W2167462019","https://openalex.org/W2071364952"],"abstract_inverted_index":{"Let":[0],"G":[1,17,31,60,73],"be":[2,103],"a":[3,57,65],"connected":[4],"graph.":[5],"A":[6,51],"set":[7,53],"of":[8,20,28,59,72,85,92,94,109,116,129,134,138,149],"vertices":[9,22],"[Formula:":[10,77],"see":[11,78],"text]":[12],"is":[13,47,55,63,74,82,89,97,119,141],"called":[14,56],"subverted":[15,48],"from":[16,34,49],"if":[18,61],"each":[19],"the":[21,26,40,90,107,113,117,126,135,150],"in":[23,30],"S":[24,29,46,54,81],"and":[25,87,112,143,146],"neighbor":[27],"are":[32,152],"deleted":[33],"G.":[35,50],"By":[36],"G/S":[37,62],"we":[38,124],"denote":[39],"survival":[41],"subgraph":[42],"that":[43,99],"remains":[44],"after":[45],"vertex":[52],"cut-strategy":[58,84],"disconnected,":[64],"clique,":[66],"or":[67],"\u00f8.":[68],"The":[69,132],"vertex-neighbor-scattering":[70,127],"number":[71,91,128],"defined":[75],"by":[76],"text],":[79],"where":[80],"any":[83],"G,":[86],"\u00f8(G/S)":[88],"components":[93],"G/S.":[95],"It":[96],"known":[98],"this":[100,122,139],"parameter":[101,118,140,151],"can":[102],"used":[104],"to":[105],"measure":[106],"vulnerability":[108],"spy":[110],"networks":[111],"computing":[114,136],"problem":[115,137],"NP-complete.":[120],"In":[121],"paper,":[123],"discuss":[125],"bipartite":[130],"graphs.":[131],"NP-completeness":[133],"proven,":[142],"some":[144],"upper":[145],"lower":[147],"bounds":[148],"also":[153],"given.":[154]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
