{"id":"https://openalex.org/W2130704253","doi":"https://doi.org/10.1142/s0218127407018427","title":"EXISTENCE, COST AND ROBUSTNESS OF SPATIAL SMALL-WORLD NETWORKS","display_name":"EXISTENCE, COST AND ROBUSTNESS OF SPATIAL SMALL-WORLD NETWORKS","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2130704253","doi":"https://doi.org/10.1142/s0218127407018427","mag":"2130704253"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127407018427","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127407018427","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/179735","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055873619","display_name":"Paolo De Los Rios","orcid":"https://orcid.org/0000-0002-5394-5062"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"P. DE LOS RIOS","raw_affiliation_strings":["Institute of Theoretical Physics, EPFL, BSP 720, 1015 Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics, EPFL, BSP 720, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045533515","display_name":"Thomas Petermann","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I4210158500","display_name":"National Institute of Mental Health","ror":"https://ror.org/04xeg9z08","country_code":"US","type":"facility","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I4210158500"]}],"countries":["CH","US"],"is_corresponding":false,"raw_author_name":"T. PETERMANN","raw_affiliation_strings":["Institute of Theoretical Physics, EPFL, BSP 720, 1015 Lausanne, Switzerland","Unit of Neural Network Physiology, National Institute of Mental Health, Porter Neuroscience Research Center, Bethesda MD 20892, USA"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics, EPFL, BSP 720, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Unit of Neural Network Physiology, National Institute of Mental Health, Porter Neuroscience Research Center, Bethesda MD 20892, USA","institution_ids":["https://openalex.org/I4210158500"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055873619"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":0.5217,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.67791754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"07","first_page":"2331","last_page":"2342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9965000152587891,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9865000247955322,"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/robustness","display_name":"Robustness (evolution)","score":0.8586975336074829},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6497427225112915},{"id":"https://openalex.org/keywords/small-world-network","display_name":"Small-world network","score":0.4927251636981964},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.4774782657623291},{"id":"https://openalex.org/keywords/architecture","display_name":"Architecture","score":0.47158658504486084},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.44143927097320557},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3954232335090637},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.2965995669364929},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25792768597602844},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.10041481256484985}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.8586975336074829},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6497427225112915},{"id":"https://openalex.org/C183331307","wikidata":"https://www.wikidata.org/wiki/Q840026","display_name":"Small-world network","level":3,"score":0.4927251636981964},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4774782657623291},{"id":"https://openalex.org/C123657996","wikidata":"https://www.wikidata.org/wiki/Q12271","display_name":"Architecture","level":2,"score":0.47158658504486084},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.44143927097320557},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3954232335090637},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.2965995669364929},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25792768597602844},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.10041481256484985},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127407018427","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127407018427","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:179735","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/179735","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:179735","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/179735","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1572272766","https://openalex.org/W1607102267","https://openalex.org/W1671906456","https://openalex.org/W1673584506","https://openalex.org/W1966920069","https://openalex.org/W1974049455","https://openalex.org/W1976668093","https://openalex.org/W1994177373","https://openalex.org/W1998713044","https://openalex.org/W2006052322","https://openalex.org/W2032332507","https://openalex.org/W2035409992","https://openalex.org/W2044078323","https://openalex.org/W2065630310","https://openalex.org/W2070722739","https://openalex.org/W2081978875","https://openalex.org/W2088251791","https://openalex.org/W2108003960","https://openalex.org/W2119916477","https://openalex.org/W2124637492","https://openalex.org/W2136931666","https://openalex.org/W2139708889","https://openalex.org/W2148606196","https://openalex.org/W2170766502","https://openalex.org/W2171707538","https://openalex.org/W4252893318"],"related_works":["https://openalex.org/W4294294347","https://openalex.org/W2145396827","https://openalex.org/W2279239548","https://openalex.org/W115379796","https://openalex.org/W63976795","https://openalex.org/W2404658402","https://openalex.org/W2610298398","https://openalex.org/W4281992692","https://openalex.org/W2105228010","https://openalex.org/W164473625"],"abstract_inverted_index":{"Small-world":[0],"networks":[1],"embedded":[2],"in":[3],"Euclidean":[4],"space":[5],"represent":[6],"useful":[7],"cartoon":[8],"models":[9],"for":[10,65,89],"a":[11,44,48],"number":[12],"of":[13,36,51],"real":[14],"systems":[15],"such":[16,90],"as":[17,70],"electronic":[18],"circuits,":[19],"communication":[20],"systems,":[21],"the":[22,29,34,52,66,73,78,83],"large-scale":[23],"brain":[24],"architecture":[25],"and":[26,92],"others.":[27],"Since":[28],"small-world":[30,74],"behavior":[31],"relies":[32],"on":[33],"presence":[35],"long-range":[37],"connections":[38],"that":[39],"are":[40,95],"likely":[41],"to":[42,60,71,81],"have":[43],"cost":[45],"which":[46],"is":[47,58],"growing":[49],"function":[50],"length,":[53],"we":[54],"explore":[55],"whether":[56],"it":[57],"possible":[59],"choose":[61],"suitable":[62],"probability":[63],"distributions":[64],"shortcut":[67],"lengths":[68],"so":[69],"preserve":[72],"feature":[75],"and,":[76],"at":[77],"same":[79],"time,":[80],"minimize":[82],"network":[84],"cost.":[85],"The":[86],"flow":[87],"distribution":[88],"networks,":[91],"their":[93],"robustness,":[94],"also":[96],"investigated.":[97]},"counts_by_year":[{"year":2024,"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"}