{"id":"https://openalex.org/W4383905219","doi":"https://doi.org/10.3233/fi-222151","title":"Network Capacity Bound for Personalized PageRank in Multimodal Networks","display_name":"Network Capacity Bound for Personalized PageRank in Multimodal Networks","publication_year":2023,"publication_date":"2023-07-07","ids":{"openalex":"https://openalex.org/W4383905219","doi":"https://doi.org/10.3233/fi-222151"},"language":"en","primary_location":{"id":"doi:10.3233/fi-222151","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-222151","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"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":"Fundamenta Informaticae","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/A5079111673","display_name":"Mieczys\u0142aw A. K\u0142opotek","orcid":"https://orcid.org/0000-0003-4685-7045"},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Mieczys\u0142aw A. K\u0142opotek","raw_affiliation_strings":["Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210087266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078858474","display_name":"S\u0142awomir T. Wierzcho\u0144","orcid":"https://orcid.org/0000-0001-8860-392X"},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"S\u0142awomir T. Wierzcho\u0144","raw_affiliation_strings":["Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210087266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078858474","display_name":"S\u0142awomir T. Wierzcho\u0144","orcid":"https://orcid.org/0000-0001-8860-392X"},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"S\u0142awomir T. Wierzcho\u0144","raw_affiliation_strings":["Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210087266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039307722","display_name":"Robert A. K\u0142opotek","orcid":"https://orcid.org/0000-0001-9783-4914"},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Robert A. K\u0142opotek","raw_affiliation_strings":["Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210087266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039307722","display_name":"Robert A. K\u0142opotek","orcid":"https://orcid.org/0000-0001-9783-4914"},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Robert A. K\u0142opotek","raw_affiliation_strings":["Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland,","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210087266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5039307722","https://openalex.org/A5078858474","https://openalex.org/A5079111673"],"corresponding_institution_ids":["https://openalex.org/I4210087266","https://openalex.org/I99542240"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08210557,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"189","issue":"1","first_page":"49","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9896000027656555,"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":0.9896000027656555,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9545999765396118,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pagerank","display_name":"PageRank","score":0.9347729682922363},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6508476734161377},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.6275467276573181},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6274176836013794},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5937735438346863},{"id":"https://openalex.org/keywords/hyperlink","display_name":"Hyperlink","score":0.590927004814148},{"id":"https://openalex.org/keywords/modalities","display_name":"Modalities","score":0.5825163125991821},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5245416760444641},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.5230963230133057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2576477825641632},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24259424209594727},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.1888493299484253},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17200258374214172},{"id":"https://openalex.org/keywords/web-page","display_name":"Web page","score":0.15025213360786438}],"concepts":[{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.9347729682922363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6508476734161377},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.6275467276573181},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6274176836013794},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5937735438346863},{"id":"https://openalex.org/C30088001","wikidata":"https://www.wikidata.org/wiki/Q102014","display_name":"Hyperlink","level":3,"score":0.590927004814148},{"id":"https://openalex.org/C2779903281","wikidata":"https://www.wikidata.org/wiki/Q6888026","display_name":"Modalities","level":2,"score":0.5825163125991821},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5245416760444641},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.5230963230133057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2576477825641632},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24259424209594727},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.1888493299484253},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17200258374214172},{"id":"https://openalex.org/C21959979","wikidata":"https://www.wikidata.org/wiki/Q36774","display_name":"Web page","level":2,"score":0.15025213360786438},{"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/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-222151","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-222151","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"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":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2096221717","https://openalex.org/W4248250357","https://openalex.org/W2150410176","https://openalex.org/W2542162642","https://openalex.org/W1971605801","https://openalex.org/W1558012608","https://openalex.org/W2139195016","https://openalex.org/W2378303769","https://openalex.org/W1986226901","https://openalex.org/W2971959138"],"abstract_inverted_index":{"In":[0,29,41],"a":[1,13,46,58,69],"former":[2],"paper":[3,31],"[1]":[4],"the":[5,16,65,78,95],"concept":[6],"of":[7,18,64,71,97,99],"Bipartite":[8],"PageRank":[9,25,72],"was":[10],"introduced":[11],"and":[12,76,91,108],"theorem":[14],"on":[15,94],"limit":[17,96],"authority":[19,100],"flowing":[20],"between":[21],"nodes":[22,61],"for":[23,53,73,87,101],"personalized":[24],"has":[26],"been":[27],"generalized.":[28],"this":[30],"we":[32,43],"want":[33],"to":[34,38],"extend":[35],"those":[36],"results":[37],"multimodal":[39,55],"networks.":[40],"particular":[42],"deal":[44],"with":[45],"hypergraph":[47],"type":[48],"that":[49,83],"may":[50],"be":[51,85],"used":[52,86],"describing":[54],"network":[56],"where":[57,103],"hyperlink":[59],"connects":[60],"from":[62],"each":[63],"modalities.":[66],"We":[67,89],"introduce":[68],"generalisation":[70],"such":[74],"graphs":[75],"define":[77],"respective":[79],"random":[80],"walk":[81],"model":[82],"can":[84],"computations.":[88],"state":[90],"prove":[92],"theorems":[93],"outflow":[98],"cases":[102],"individual":[104],"modalities":[105],"have":[106],"identical":[107],"distinct":[109],"damping":[110],"factors.":[111]},"counts_by_year":[],"updated_date":"2026-05-18T06:02:51.519808","created_date":"2025-10-10T00:00:00"}