{"id":"https://openalex.org/W1972974523","doi":"https://doi.org/10.1142/s1793830914500529","title":"Structural properties and surviving rate of planar graphs","display_name":"Structural properties and surviving rate of planar graphs","publication_year":2014,"publication_date":"2014-08-04","ids":{"openalex":"https://openalex.org/W1972974523","doi":"https://doi.org/10.1142/s1793830914500529","mag":"1972974523"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830914500529","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500529","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025509188","display_name":"Jiangxu Kong","orcid":null},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiangxu Kong","raw_affiliation_strings":["School of Mathematical Science, Xiamen University, Fujian 361005, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Xiamen University, Fujian 361005, P. R. China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079455278","display_name":"Lianzhu Zhang","orcid":"https://orcid.org/0000-0002-8474-0668"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lianzhu Zhang","raw_affiliation_strings":["School of Mathematical Science, Xiamen University, Fujian 361005, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Xiamen University, Fujian 361005, P. R. China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101959202","display_name":"Weifan Wang","orcid":"https://orcid.org/0000-0002-9207-5135"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weifan Wang","raw_affiliation_strings":["Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025509188"],"corresponding_institution_ids":["https://openalex.org/I191208505"],"apc_list":null,"apc_paid":null,"fwci":0.7122,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69668984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"06","issue":"04","first_page":"1450052","last_page":"1450052"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991999864578247,"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/T12288","display_name":"Optimization and Search Problems","score":0.9905999898910522,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9848999977111816,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7671986222267151},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6886508464813232},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6506816744804382},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5254658460617065},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5227632522583008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5126904249191284},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.45183855295181274},{"id":"https://openalex.org/keywords/wheel-graph","display_name":"Wheel graph","score":0.44181883335113525},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.41481202840805054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3444395661354065},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19025859236717224},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.15794110298156738},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.061389416456222534}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7671986222267151},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6886508464813232},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6506816744804382},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5254658460617065},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5227632522583008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5126904249191284},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.45183855295181274},{"id":"https://openalex.org/C148364342","wikidata":"https://www.wikidata.org/wiki/Q948887","display_name":"Wheel graph","level":5,"score":0.44181883335113525},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.41481202840805054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3444395661354065},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19025859236717224},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.15794110298156738},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.061389416456222534},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830914500529","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500529","pdf_url":null,"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":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"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":5,"referenced_works":["https://openalex.org/W2033212080","https://openalex.org/W2061068662","https://openalex.org/W2065887199","https://openalex.org/W2593918671","https://openalex.org/W3123402719"],"related_works":["https://openalex.org/W2044422372","https://openalex.org/W2964695382","https://openalex.org/W2963041596","https://openalex.org/W3003159024","https://openalex.org/W4206939583","https://openalex.org/W2157163513","https://openalex.org/W4229634034","https://openalex.org/W4213252030","https://openalex.org/W4251672073","https://openalex.org/W1862756588"],"abstract_inverted_index":{"Let":[0],"G":[1,62,84],"be":[2],"a":[3,8,51,91],"connected":[4],"graph.":[5],"Suppose":[6],"that":[7,49,97,112],"fire":[9,42,76],"breaks":[10],"out":[11],"at":[12,80],"some":[13],"vertex.":[14],"A":[15,82],"firefighter":[16,26],"starts":[17],"to":[18,44],"protect":[19],"vertices.":[20],"At":[21,34],"each":[22,38],"time":[23,39],"interval,":[24,40],"the":[25,35,41,46,64,71,75],"protects":[27],"k":[28,59,99],"vertices":[29,48],"not":[30],"yet":[31],"on":[32,53],"fire.":[33,54],"end":[36],"of":[37,61,67,74,107],"spreads":[43],"all":[45],"unprotected":[47],"have":[50],"neighbor":[52],"The":[55],"k-surviving":[56],"rate":[57],"\u03c1":[58,98],"(G)":[60,100],"is":[63,77,85,90],"average":[65],"proportion":[66],"saved":[68],"vertices,":[69],"if":[70,88],"starting":[72],"vertex":[73],"chosen":[78],"uniformly":[79],"random.":[81],"graph":[83],"called":[86],"k-good":[87],"there":[89],"constant":[92],"c":[93],"&gt;":[94],"0":[95],"such":[96],"\u2265":[101],"c.":[102],"We":[103],"study":[104],"structural":[105],"properties":[106],"planar":[108,113],"graphs":[109,114],"and":[110],"show":[111],"are":[115],"3-good.":[116]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
