{"id":"https://openalex.org/W2091414881","doi":"https://doi.org/10.1002/jgt.3190170203","title":"On the connectivity of graphs generated by a sum of random mappings","display_name":"On the connectivity of graphs generated by a sum of random mappings","publication_year":1993,"publication_date":"1993-06-01","ids":{"openalex":"https://openalex.org/W2091414881","doi":"https://doi.org/10.1002/jgt.3190170203","mag":"2091414881"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190170203","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190170203","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5103173772","display_name":"Jerzy Jaworski","orcid":"https://orcid.org/0000-0003-4520-6451"},"institutions":[{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jerzy Jaworski","raw_affiliation_strings":["Department of Discrete Mathematics Adam Mickiewicz University Poznan\u0301, Poland","Department of Discrete Mathematics, Adam Mickiewicz University, Pozna\u0144, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Discrete Mathematics Adam Mickiewicz University Poznan\u0301, Poland","institution_ids":["https://openalex.org/I59411706"]},{"raw_affiliation_string":"Department of Discrete Mathematics, Adam Mickiewicz University, Pozna\u0144, Poland","institution_ids":["https://openalex.org/I59411706"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110883614","display_name":"Micha\u0142 Karo\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Karo\u0144ski","raw_affiliation_strings":["Department of Discrete Mathematics Adam Mickiewicz University Poznan\u0301, Poland","Department of Discrete Mathematics, Adam Mickiewicz University, Pozna\u0144, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Discrete Mathematics Adam Mickiewicz University Poznan\u0301, Poland","institution_ids":["https://openalex.org/I59411706"]},{"raw_affiliation_string":"Department of Discrete Mathematics, Adam Mickiewicz University, Pozna\u0144, Poland","institution_ids":["https://openalex.org/I59411706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.26502964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"2","first_page":"135","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10374","display_name":"Advanced Graph Theory Research","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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9952999949455261,"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/mathematics","display_name":"Mathematics","score":0.8217881917953491},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7707238793373108},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7268894910812378},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.6025447249412537},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5830169916152954},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5207833647727966},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5129275321960449},{"id":"https://openalex.org/keywords/random-regular-graph","display_name":"Random regular graph","score":0.45354098081588745},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45292580127716064},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4399522542953491},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.21352878212928772},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.16868379712104797}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8217881917953491},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7707238793373108},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7268894910812378},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.6025447249412537},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5830169916152954},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5207833647727966},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5129275321960449},{"id":"https://openalex.org/C4255713","wikidata":"https://www.wikidata.org/wiki/Q7291988","display_name":"Random regular graph","level":5,"score":0.45354098081588745},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45292580127716064},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4399522542953491},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.21352878212928772},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.16868379712104797},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190170203","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190170203","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309904","display_name":"Auburn University","ror":"https://ror.org/02v80fc35"},{"id":"https://openalex.org/F4320318036","display_name":"Southern Methodist University","ror":"https://ror.org/042tdr378"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W395387967","https://openalex.org/W1489878404","https://openalex.org/W1577466578","https://openalex.org/W2070658523","https://openalex.org/W2146162554","https://openalex.org/W2464982787"],"related_works":["https://openalex.org/W2012853908","https://openalex.org/W2092565550","https://openalex.org/W2170524605","https://openalex.org/W365256087","https://openalex.org/W3130470475","https://openalex.org/W3102921333","https://openalex.org/W2071911310","https://openalex.org/W2610630562","https://openalex.org/W2963998228","https://openalex.org/W2030761932"],"abstract_inverted_index":{"Abstract":[0],"We":[1,42],"consider":[2],"four":[3],"models":[4,24],"of":[5,13,36,48,51,53],"random":[6],"directed":[7],"multigraphs":[8],"with":[9,25],"n":[10,32,62],"labeled":[11],"vertices":[12],"out\u2010degree":[14],"d":[15,59],".":[16],"First":[17],"we":[18],"establish":[19],"formal":[20],"relationships":[21],"between":[22],"our":[23],"respect":[26],"to":[27],"exact":[28],"and":[29],"asymptotic":[30,46],"(as":[31],"\u2192":[33],"\u221e)":[34],"probabilities":[35],"possessing":[37],"a":[38],"graph":[39],"monotone":[40],"property.":[41],"also":[43],"study":[44],"the":[45,49,54],"behavior":[47],"strength":[50],"connectivity":[52],"underlying":[55],"simple":[56],"graphs":[57],"when":[58],"=":[60],"o(":[61],").":[63],"\u00a9":[64],"1993":[65],"John":[66],"Wiley":[67],"&":[68],"Sons,":[69],"Inc.":[70]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}