{"id":"https://openalex.org/W2466362186","doi":"https://doi.org/10.3233/978-1-61499-722-1-605","title":"A Geometric Graph Model of Citation Networks with Linearly Growing Node-Increment","display_name":"A Geometric Graph Model of Citation Networks with Linearly Growing Node-Increment","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2466362186","doi":"https://doi.org/10.3233/978-1-61499-722-1-605","mag":"2466362186"},"language":"en","primary_location":{"id":"doi:10.3233/978-1-61499-722-1-605","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-61499-722-1-605","pdf_url":null,"source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/abs/1605.00826","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101601616","display_name":"Qi Liu","orcid":"https://orcid.org/0000-0002-1196-3510"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Liu Qi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047765511","display_name":"Zheng Xie","orcid":"https://orcid.org/0000-0003-0391-8725"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xie Zheng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116359297","display_name":"Dong En-Ming","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dong En-Ming","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100370630","display_name":"Jianping Li","orcid":"https://orcid.org/0000-0003-3761-9950"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li Jian-Ping","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101601616"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5092,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63860278,"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":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5439498424530029},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5231146216392517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4157865047454834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41125404834747314},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3567996025085449},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19332444667816162},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06203240156173706}],"concepts":[{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5439498424530029},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5231146216392517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4157865047454834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41125404834747314},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3567996025085449},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19332444667816162},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06203240156173706}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/978-1-61499-722-1-605","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-61499-722-1-605","pdf_url":null,"source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},{"id":"mag:2466362186","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.00826","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2466362186","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.00826","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1424036046","https://openalex.org/W1556758605","https://openalex.org/W1953975752","https://openalex.org/W1977400111","https://openalex.org/W1982231450","https://openalex.org/W2008620264","https://openalex.org/W2032516423","https://openalex.org/W2037859435","https://openalex.org/W2054096179","https://openalex.org/W2081288091","https://openalex.org/W2088209891","https://openalex.org/W2106116881","https://openalex.org/W2108614537","https://openalex.org/W2112090702","https://openalex.org/W2148606196","https://openalex.org/W2150577300","https://openalex.org/W2169882007","https://openalex.org/W2171520817","https://openalex.org/W2909246539"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Due":[0],"to":[1,26,50,85,121],"the":[2,5,36,41,55,70,77,108,122,151,155,161,166,171,175,181,190],"fact":[3],"that":[4,91,148,180],"numbers":[6],"of":[7,31,40,67,69,132,154,174,193],"annually":[8],"published":[9],"papers":[10,42,111,127,139],"in":[11,34,103,112,124,187],"some":[12,28,126,137],"citation":[13,117,194],"networks":[14],"have":[15],"witnessed":[16],"a":[17,20,65,99,129,184],"linear":[18],"growth,":[19],"geometric":[21,47],"model":[22,123,159,167,182],"is":[23,119,183],"thus":[24],"raised":[25],"reproduce":[27],"statistical":[29],"features":[30],"those":[32],"networks,":[33],"which":[35,89,125,178],"academic":[37],"influence":[38,87,105],"scopes":[39],"are":[43,59,75,82],"denoted":[44],"through":[45],"specific":[46],"areas":[48],"related":[49],"time":[51,78],"and":[52,61,141],"space.":[53],"In":[54],"model,":[56],"nodes":[57],"(papers)":[58],"uniformly":[60],"randomly":[62,140],"sprinkled":[63],"onto":[64],"cluster":[66],"circles":[68],"Minkowski":[71],"space":[72],"whose":[73],"centers":[74],"on":[76,189],"axis.":[79],"Edges":[80],"(citations)":[81],"linked":[83],"according":[84],"an":[86,92,115],"mechanism":[88,118,192],"indicates":[90,179],"existing":[93,138,146],"paper":[94,101],"will":[95,135],"be":[96],"cited":[97],"by":[98],"new":[100],"located":[102],"its":[104],"zone.":[106],"Considering":[107],"citations":[109],"among":[110],"different":[113],"disciplines,":[114],"interdisciplinary":[116],"added":[120],"with":[128],"small":[130],"probability":[131],"being":[133],"chosen":[134],"cite":[136],"uniformly.":[142],"Different":[143],"from":[144],"most":[145],"models":[147],"only":[149],"study":[150],"scale-free":[152,172],"tail":[153,173],"in-degree":[156,163],"distribution,":[157,177],"this":[158],"characterizes":[160],"overall":[162],"distribution.":[164],"Moreover,":[165],"can":[168],"also":[169],"predict":[170],"out-degree":[176],"good":[185],"tool":[186],"researches":[188],"evolutionary":[191],"networks.":[195]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}