{"id":"https://openalex.org/W1603783260","doi":"https://doi.org/10.1007/978-3-642-01044-6_12","title":"Isolated Vertices in Random Intersection Graphs","display_name":"Isolated Vertices in Random Intersection Graphs","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1603783260","doi":"https://doi.org/10.1007/978-3-642-01044-6_12","mag":"1603783260"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-01044-6_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-01044-6_12","pdf_url":null,"source":{"id":"https://openalex.org/S4210194094","display_name":"Studies in classification, data analysis, and knowledge organization","issn_l":"1431-8814","issn":["1431-8814","2198-3321"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Classification, Data Analysis, and Knowledge Organization","raw_type":"book-chapter"},"type":"book-chapter","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/A5112777550","display_name":"Erhard Godehardt","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Erhard Godehardt","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103173772","display_name":"Jerzy Jaworski","orcid":"https://orcid.org/0000-0003-4520-6451"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jerzy Jaworski","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5002490455","display_name":"Katarzyna Rybarczyk","orcid":"https://orcid.org/0000-0002-3998-6482"},"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":"Katarzyna Rybarczyk","raw_affiliation_strings":["Adam Mickiewicz University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adam Mickiewicz University,","institution_ids":["https://openalex.org/I59411706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6522,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71316711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"135","last_page":"145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.998199999332428,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/intersection-graph","display_name":"Intersection graph","score":0.7724897861480713},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7654485702514648},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.6702498197555542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6409611701965332},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5994544625282288},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5360387563705444},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4711022973060608},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4652610123157501},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4412086009979248},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.16530659794807434}],"concepts":[{"id":"https://openalex.org/C54540088","wikidata":"https://www.wikidata.org/wiki/Q3498041","display_name":"Intersection graph","level":4,"score":0.7724897861480713},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7654485702514648},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.6702498197555542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6409611701965332},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5994544625282288},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5360387563705444},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4711022973060608},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4652610123157501},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4412086009979248},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.16530659794807434},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-01044-6_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-01044-6_12","pdf_url":null,"source":{"id":"https://openalex.org/S4210194094","display_name":"Studies in classification, data analysis, and knowledge organization","issn_l":"1431-8814","issn":["1431-8814","2198-3321"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Classification, Data Analysis, and Knowledge Organization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W14815362","https://openalex.org/W188357332","https://openalex.org/W1519188191","https://openalex.org/W2008689893","https://openalex.org/W2061726431","https://openalex.org/W2165064763","https://openalex.org/W2505879829","https://openalex.org/W4231918995","https://openalex.org/W6600622346"],"related_works":["https://openalex.org/W4236659380","https://openalex.org/W2184561631","https://openalex.org/W4302878405","https://openalex.org/W2219978534","https://openalex.org/W1606180716","https://openalex.org/W4293517767","https://openalex.org/W1636592403","https://openalex.org/W3087982197","https://openalex.org/W2964307942","https://openalex.org/W2143442844"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
