{"id":"https://openalex.org/W1999764748","doi":"https://doi.org/10.5555/2043527.2043528","title":"Markov property of correlated random networks and its application to the analysis of the internet topologies","display_name":"Markov property of correlated random networks and its application to the analysis of the internet topologies","publication_year":2011,"publication_date":"2011-09-09","ids":{"openalex":"https://openalex.org/W1999764748","doi":"https://doi.org/10.5555/2043527.2043528","mag":"1999764748"},"language":"en","primary_location":{"id":"mag:1999764748","is_oa":false,"landing_page_url":"https://dl.acm.org/doi/10.5555/2043527.2043528","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"type":"article","indexed_in":[],"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/A5023763606","display_name":"Shigeo Shioda","orcid":"https://orcid.org/0000-0001-5112-4933"},"institutions":[{"id":"https://openalex.org/I159385669","display_name":"Chiba University","ror":"https://ror.org/01hjzeq58","country_code":"JP","type":"education","lineage":["https://openalex.org/I159385669"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shigeo Shioda","raw_affiliation_strings":["Chiba University, Yayoi, Inage, Chiba, Japan#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-5112-4933","affiliations":[{"raw_affiliation_string":"Chiba University, Yayoi, Inage, Chiba, Japan#TAB#","institution_ids":["https://openalex.org/I159385669"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030990827","display_name":"Yoshihara Masato","orcid":null},"institutions":[{"id":"https://openalex.org/I159385669","display_name":"Chiba University","ror":"https://ror.org/01hjzeq58","country_code":"JP","type":"education","lineage":["https://openalex.org/I159385669"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshihara Masato","raw_affiliation_strings":["Chiba University, Yayoi, Inage, Chiba, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chiba University, Yayoi, Inage, Chiba, Japan#TAB#","institution_ids":["https://openalex.org/I159385669"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013072836","display_name":"Izumi Asuka","orcid":null},"institutions":[{"id":"https://openalex.org/I159385669","display_name":"Chiba University","ror":"https://ror.org/01hjzeq58","country_code":"JP","type":"education","lineage":["https://openalex.org/I159385669"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Izumi Asuka","raw_affiliation_strings":["Chiba University, Yayoi, Inage, Chiba, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chiba University, Yayoi, Inage, Chiba, Japan#TAB#","institution_ids":["https://openalex.org/I159385669"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086757140","display_name":"Kouhei Tachikawa","orcid":null},"institutions":[{"id":"https://openalex.org/I159385669","display_name":"Chiba University","ror":"https://ror.org/01hjzeq58","country_code":"JP","type":"education","lineage":["https://openalex.org/I159385669"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kouhei Tachikawa","raw_affiliation_strings":["Chiba University, Yayoi, Inage, Chiba, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chiba University, Yayoi, Inage, Chiba, Japan#TAB#","institution_ids":["https://openalex.org/I159385669"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5023763606"],"corresponding_institution_ids":["https://openalex.org/I159385669"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08966775,"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":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9916999936103821,"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/T11476","display_name":"Graph theory and applications","score":0.9876999855041504,"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/network-topology","display_name":"Network topology","score":0.7291114330291748},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6059702634811401},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5996158719062805},{"id":"https://openalex.org/keywords/router","display_name":"Router","score":0.594613790512085},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5284476280212402},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5180228352546692},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.488651305437088},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.4845982789993286},{"id":"https://openalex.org/keywords/degree-distribution","display_name":"Degree distribution","score":0.48435816168785095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4682760238647461},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4403771460056305},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4385562539100647},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.34319964051246643},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3315262794494629},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12670958042144775},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.12611046433448792},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12083002924919128},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07012256979942322}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.7291114330291748},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6059702634811401},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5996158719062805},{"id":"https://openalex.org/C2775896111","wikidata":"https://www.wikidata.org/wiki/Q642560","display_name":"Router","level":2,"score":0.594613790512085},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5284476280212402},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5180228352546692},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.488651305437088},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.4845982789993286},{"id":"https://openalex.org/C87414783","wikidata":"https://www.wikidata.org/wiki/Q1002603","display_name":"Degree distribution","level":3,"score":0.48435816168785095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4682760238647461},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4403771460056305},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4385562539100647},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.34319964051246643},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3315262794494629},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12670958042144775},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.12611046433448792},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12083002924919128},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07012256979942322},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:1999764748","is_oa":false,"landing_page_url":"https://dl.acm.org/doi/10.5555/2043527.2043528","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1969116892","https://openalex.org/W1995052256","https://openalex.org/W1997698259","https://openalex.org/W2008620264","https://openalex.org/W2032516423","https://openalex.org/W2038063928","https://openalex.org/W2039990322","https://openalex.org/W2040956707","https://openalex.org/W2044881936","https://openalex.org/W2045812531","https://openalex.org/W2053248591","https://openalex.org/W2080201763","https://openalex.org/W2097147952","https://openalex.org/W2105498167","https://openalex.org/W2111769183","https://openalex.org/W2112976607","https://openalex.org/W2119148009","https://openalex.org/W2129918926","https://openalex.org/W2148606196","https://openalex.org/W2167659338","https://openalex.org/W2169015768","https://openalex.org/W2567990742","https://openalex.org/W3121379941","https://openalex.org/W3125904337"],"related_works":["https://openalex.org/W2081042088","https://openalex.org/W2021631849","https://openalex.org/W1569840251","https://openalex.org/W2126284323","https://openalex.org/W2529884563","https://openalex.org/W1509560505","https://openalex.org/W2894262948","https://openalex.org/W2127891294","https://openalex.org/W2124637492","https://openalex.org/W3099533838","https://openalex.org/W2985032018","https://openalex.org/W2951179377","https://openalex.org/W1933202457","https://openalex.org/W2182827561","https://openalex.org/W2739806318","https://openalex.org/W2023915329","https://openalex.org/W2964258673","https://openalex.org/W1660713635","https://openalex.org/W116046179","https://openalex.org/W1971889054"],"abstract_inverted_index":{"We":[0,66,85],"propose":[1],"a":[2,38,87],"framework":[3],"for":[4,80],"modeling":[5],"higher-order":[6],"(beyond":[7],"two":[8],"point)":[9],"degree":[10,41,64,149],"correlation":[11],"among":[12],"nodes,":[13],"depending":[14],"on":[15,22],"their":[16,81],"mutual":[17],"connectivity.":[18],"Our":[19],"focus":[20],"is":[21,125],"the":[23,26,35,47,53,62,69,77,107,111,130,134,144,147],"introduction":[24],"of":[25,37,46,72,90,97,106,133,146],"Markov":[27,54],"property":[28,55],"to":[29,128],"find":[30],"maximally":[31],"unbiased":[32],"networks":[33,49,51,74],"under":[34],"constraint":[36],"prescribed":[39],"two-point":[40,63,148],"correlation.":[42,65,150],"The":[43,104],"topological":[44,70,131],"features":[45],"Markovian":[48,73,101],"--":[50,56],"satisfying":[52],"are":[57,100,117],"fully":[58],"characterized":[59],"solely":[60,142],"by":[61,143],"theoretically":[67],"investigate":[68],"characteristics":[71,132],"and":[75,92,114],"derive":[76],"analytical":[78],"formulas":[79],"graph":[82],"theoretical":[83],"metrics.":[84],"present":[86],"comparative":[88],"analysis":[89,108],"AS-":[91,113,138],"router-level":[93,115,141],"topologies":[94,116],"in":[95],"terms":[96],"whether":[98],"they":[99],"or":[102,139],"not.":[103],"results":[105],"show":[109],"that":[110,123],"studied":[112],"not":[118],"Markovian.":[119],"This":[120],"finding":[121],"indicates":[122],"it":[124],"rather":[126],"difficult":[127],"capture":[129],"Internet":[135],"either":[136],"at":[137,140],"input":[145]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
