{"id":"https://openalex.org/W3173204379","doi":"https://doi.org/10.3390/e23070835","title":"Algorithmic Information Distortions in Node-Aligned and Node-Unaligned Multidimensional Networks","display_name":"Algorithmic Information Distortions in Node-Aligned and Node-Unaligned Multidimensional Networks","publication_year":2021,"publication_date":"2021-06-29","ids":{"openalex":"https://openalex.org/W3173204379","doi":"https://doi.org/10.3390/e23070835","mag":"3173204379","pmid":"https://pubmed.ncbi.nlm.nih.gov/34210065"},"language":"en","primary_location":{"id":"doi:10.3390/e23070835","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23070835","pdf_url":"https://www.mdpi.com/1099-4300/23/7/835/pdf?version=1625213590","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/7/835/pdf?version=1625213590","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066534634","display_name":"Felipe S. Abrah\u00e3o","orcid":"https://orcid.org/0000-0001-7314-6543"},"institutions":[{"id":"https://openalex.org/I4210104250","display_name":"Laboratoire de Recherche Scientifique","ror":"https://ror.org/00sbgyf60","country_code":"FR","type":"nonprofit","lineage":["https://openalex.org/I4210104250"]},{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR","FR"],"is_corresponding":true,"raw_author_name":"Felipe S. Abrah\u00e3o","raw_affiliation_strings":["Laboratoire de Recherche Scientifique (LABORES) for the Natural and Digital Sciences, Algorithmic Nature Group, 75005 Paris, France","National Laboratory for Scientific Computing (LNCC), Petropolis 25651-075, RJ, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-7314-6543","affiliations":[{"raw_affiliation_string":"Laboratoire de Recherche Scientifique (LABORES) for the Natural and Digital Sciences, Algorithmic Nature Group, 75005 Paris, France","institution_ids":["https://openalex.org/I4210104250"]},{"raw_affiliation_string":"National Laboratory for Scientific Computing (LNCC), Petropolis 25651-075, RJ, Brazil","institution_ids":["https://openalex.org/I4210142352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050311644","display_name":"Klaus Wehmuth","orcid":"https://orcid.org/0000-0003-2694-3931"},"institutions":[{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Klaus Wehmuth","raw_affiliation_strings":["National Laboratory for Scientific Computing (LNCC), Petropolis 25651-075, RJ, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-2694-3931","affiliations":[{"raw_affiliation_string":"National Laboratory for Scientific Computing (LNCC), Petropolis 25651-075, RJ, Brazil","institution_ids":["https://openalex.org/I4210142352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003718950","display_name":"H\u00e9ctor Zenil","orcid":"https://orcid.org/0000-0003-0634-4384"},"institutions":[{"id":"https://openalex.org/I125680101","display_name":"Turing Institute","ror":"https://ror.org/02x2mw849","country_code":"GB","type":"facility","lineage":["https://openalex.org/I125680101"]},{"id":"https://openalex.org/I2800016483","display_name":"British Library","ror":"https://ror.org/05dhe8b71","country_code":"GB","type":"archive","lineage":["https://openalex.org/I2800016483"]},{"id":"https://openalex.org/I28166907","display_name":"Karolinska Institutet","ror":"https://ror.org/056d84691","country_code":"SE","type":"education","lineage":["https://openalex.org/I28166907"]},{"id":"https://openalex.org/I4210104250","display_name":"Laboratoire de Recherche Scientifique","ror":"https://ror.org/00sbgyf60","country_code":"FR","type":"nonprofit","lineage":["https://openalex.org/I4210104250"]},{"id":"https://openalex.org/I4210128584","display_name":"The Alan Turing Institute","ror":"https://ror.org/035dkdb55","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210128584"]}],"countries":["FR","GB","SE"],"is_corresponding":false,"raw_author_name":"Hector Zenil","raw_affiliation_strings":["British Library, The Alan Turing Institute, 2QR, 96 Euston Rd, London NW1 2DB, UK","Center for Molecular Medicine, Algorithmic Dynamics Lab, Unit of Computational Medicine, Department of Medicine Solna, Karolinska Institute, SE-171 77 Stockholm, Sweden","Laboratoire de Recherche Scientifique (LABORES) for the Natural and Digital Sciences, Algorithmic Nature Group, 75005 Paris, France","Oxford Immune Algorithmics, Reading RG1 3EU, UK"],"raw_orcid":"https://orcid.org/0000-0003-0634-4384","affiliations":[{"raw_affiliation_string":"British Library, The Alan Turing Institute, 2QR, 96 Euston Rd, London NW1 2DB, UK","institution_ids":["https://openalex.org/I125680101","https://openalex.org/I4210128584","https://openalex.org/I2800016483"]},{"raw_affiliation_string":"Center for Molecular Medicine, Algorithmic Dynamics Lab, Unit of Computational Medicine, Department of Medicine Solna, Karolinska Institute, SE-171 77 Stockholm, Sweden","institution_ids":["https://openalex.org/I28166907"]},{"raw_affiliation_string":"Laboratoire de Recherche Scientifique (LABORES) for the Natural and Digital Sciences, Algorithmic Nature Group, 75005 Paris, France","institution_ids":["https://openalex.org/I4210104250"]},{"raw_affiliation_string":"Oxford Immune Algorithmics, Reading RG1 3EU, UK","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010517387","display_name":"Artur Ziviani","orcid":"https://orcid.org/0000-0001-9326-8214"},"institutions":[{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Artur Ziviani","raw_affiliation_strings":["National Laboratory for Scientific Computing (LNCC), Petropolis 25651-075, RJ, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-9326-8214","affiliations":[{"raw_affiliation_string":"National Laboratory for Scientific Computing (LNCC), Petropolis 25651-075, RJ, Brazil","institution_ids":["https://openalex.org/I4210142352"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5066534634"],"corresponding_institution_ids":["https://openalex.org/I4210104250","https://openalex.org/I4210142352"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.2667,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78764228,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"23","issue":"7","first_page":"835","last_page":"835"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9983999729156494,"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":0.9937000274658203,"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/node","display_name":"Node (physics)","score":0.7505453824996948},{"id":"https://openalex.org/keywords/lossless-compression","display_name":"Lossless compression","score":0.6492791771888733},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6482301950454712},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5320169925689697},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.4318513870239258},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.42240387201309204},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.412087619304657},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3429032266139984},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3121105432510376},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3099365234375},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.15288624167442322},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1132802665233612},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10790914297103882},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10709917545318604},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.07817581295967102}],"concepts":[{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.7505453824996948},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.6492791771888733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6482301950454712},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5320169925689697},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4318513870239258},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.42240387201309204},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.412087619304657},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3429032266139984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3121105432510376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3099365234375},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.15288624167442322},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1132802665233612},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10790914297103882},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10709917545318604},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.07817581295967102},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e23070835","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23070835","pdf_url":"https://www.mdpi.com/1099-4300/23/7/835/pdf?version=1625213590","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:34210065","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34210065","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:fb76aac056ba410ea270af761935e440","is_oa":true,"landing_page_url":"https://doaj.org/article/fb76aac056ba410ea270af761935e440","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 23, Iss 7, p 835 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/23/7/835/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23070835","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 23; Issue 7; Pages: 835","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8304561","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8304561","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e23070835","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23070835","pdf_url":"https://www.mdpi.com/1099-4300/23/7/835/pdf?version=1625213590","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1724255039","display_name":null,"funder_award_id":"e-26/203.046/2017","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"},{"id":"https://openalex.org/G4364520169","display_name":null,"funder_award_id":"310.201/2019-5","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G607873993","display_name":null,"funder_award_id":"301.322/2020-1","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G998663985","display_name":null,"funder_award_id":"303.193/2020-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3173204379.pdf"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1493312012","https://openalex.org/W1534785633","https://openalex.org/W1574049752","https://openalex.org/W1638203394","https://openalex.org/W1647431324","https://openalex.org/W1875112053","https://openalex.org/W2004795957","https://openalex.org/W2007512406","https://openalex.org/W2059033281","https://openalex.org/W2098005762","https://openalex.org/W2169999610","https://openalex.org/W2400899518","https://openalex.org/W2516327767","https://openalex.org/W2765310599","https://openalex.org/W2765801977","https://openalex.org/W2883563097","https://openalex.org/W2904276544","https://openalex.org/W2921289806","https://openalex.org/W2939784476","https://openalex.org/W2947041906","https://openalex.org/W2963031235","https://openalex.org/W2981665536","https://openalex.org/W3037826211","https://openalex.org/W3047013681","https://openalex.org/W3085255488","https://openalex.org/W3102201777","https://openalex.org/W3103222496","https://openalex.org/W3103589660","https://openalex.org/W3105734402","https://openalex.org/W3147459908","https://openalex.org/W4229741534","https://openalex.org/W4231669646","https://openalex.org/W4234989302","https://openalex.org/W4237496336","https://openalex.org/W4245608944","https://openalex.org/W4255316878","https://openalex.org/W4320909274","https://openalex.org/W6631868417"],"related_works":["https://openalex.org/W3106969033","https://openalex.org/W2186939576","https://openalex.org/W2357988910","https://openalex.org/W2948148442","https://openalex.org/W2377158164","https://openalex.org/W2187600494","https://openalex.org/W4399165047","https://openalex.org/W3022550295","https://openalex.org/W1519862060","https://openalex.org/W3100677332"],"abstract_inverted_index":{"In":[0,34,82],"this":[1],"article,":[2,85],"we":[3,86,152],"investigate":[4],"limitations":[5],"of":[6,29,79,137,165,168,198],"importing":[7],"methods":[8],"based":[9],"on":[10],"algorithmic":[11,55,104,188,196],"information":[12,56,105,189,197],"theory":[13],"from":[14],"monoplex":[15,66,112,183],"networks":[16,19,46,147,180,184],"into":[17,207],"multidimensional":[18,45,49,90,97,146,150,179,200,210],"(such":[20],"as":[21],"multilayer":[22],"networks)":[23],"that":[24,43,69,88,154,175,194],"have":[25],"a":[26,162],"large":[27],"number":[28,78,136,167],"extra":[30,80,138,169],"dimensions":[31],"(i.e.,":[32],"aspects).":[33],"the":[35,77,83,116,127,135,141,166,195,199],"worst-case":[36],"scenario,":[37],"it":[38],"has":[39],"been":[40],"previously":[41],"shown":[42],"node-aligned":[44,117,145],"with":[47,61,76,93,107,134,148],"non-uniform":[48,96,118],"spaces":[50],"can":[51,99,157],"display":[52,101],"exponentially":[53,102,133],"larger":[54,103],"(or":[57],"lossless":[58],"compressibility)":[59],"distortions":[60,71,106,125],"respect":[62,108],"to":[63,109,161,204],"their":[64,110],"isomorphic":[65,111],"networks,":[67,91],"so":[68],"these":[70,124,172],"grow":[72,130,159],"at":[73,131],"least":[74,132],"linearly":[75],"dimensions.":[81,139,170],"present":[84],"demonstrate":[87,153],"node-unaligned":[89,128],"either":[92],"uniform":[94,149],"or":[95],"spaces,":[98,151],"also":[100],"networks.":[113],"However,":[114],"unlike":[115],"case":[119,129],"studied":[120],"in":[121,126,190,209],"previous":[122],"work,":[123],"On":[140],"other":[142],"hand,":[143],"for":[144],"any":[155],"distortion":[156],"only":[158],"up":[160],"logarithmic":[163],"order":[164],"Thus,":[171],"results":[173],"establish":[174],"isomorphisms":[176],"between":[177],"finite":[178,182],"and":[181,192],"do":[185],"not":[186],"preserve":[187],"general":[191],"highlight":[193],"space":[201],"itself":[202],"needs":[203],"be":[205],"taken":[206],"account":[208],"network":[211],"complexity":[212],"analysis.":[213]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-12T08:23:45.883708","created_date":"2025-10-10T00:00:00"}
