{"id":"https://openalex.org/W2129470382","doi":"https://doi.org/10.1007/s00493-008-2283-3","title":"Two-point concentration in random geometric graphs","display_name":"Two-point concentration in random geometric graphs","publication_year":2008,"publication_date":"2008-08-12","ids":{"openalex":"https://openalex.org/W2129470382","doi":"https://doi.org/10.1007/s00493-008-2283-3","mag":"2129470382"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-008-2283-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-008-2283-3","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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/A5077475001","display_name":"Tobias M\u00fcller","orcid":"https://orcid.org/0000-0002-5964-7867"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Tobias M\u00fcller","raw_affiliation_strings":["Department of Statistics, University of Oxford, 1 South Parks Road, Oxford, OX1 3TG, UK","University of Oxford, Department of Statistics, 1 South Parks Road, OX1 3TG, Oxford, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Oxford, 1 South Parks Road, Oxford, OX1 3TG, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"University of Oxford, Department of Statistics, 1 South Parks Road, OX1 3TG, Oxford, UK#TAB#","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077475001"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":2.5395,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.88332416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"28","issue":"5","first_page":"529","last_page":"545"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9988999962806702,"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":0.9988999962806702,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9983999729156494,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9973000288009644,"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/mathematics","display_name":"Mathematics","score":0.8991234302520752},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8771829605102539},{"id":"https://openalex.org/keywords/clique-number","display_name":"Clique number","score":0.7157250046730042},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.6803880929946899},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6182003021240234},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.524623692035675},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.523676335811615},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5081360340118408},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39820921421051025},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07297888398170471}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8991234302520752},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8771829605102539},{"id":"https://openalex.org/C2985491264","wikidata":"https://www.wikidata.org/wiki/Q761631","display_name":"Clique number","level":3,"score":0.7157250046730042},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.6803880929946899},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6182003021240234},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.524623692035675},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.523676335811615},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5081360340118408},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39820921421051025},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07297888398170471}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00493-008-2283-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-008-2283-3","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/b0867700-ca87-442d-948d-1d4bbdedfaf9","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/b0867700-ca87-442d-948d-1d4bbdedfaf9","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"M\u00fcller, T 2008, 'Two-point concentration in random geometric graphs', Combinatorica, vol. 28, no. 5, pp. 529-545. https://doi.org/10.1007/s00493-008-2283-3","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:650754","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=650754","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0209-9683","raw_type":"Article / Letter to the editor"},{"id":"pmh:cwi:oai:cwi.nl:17230","is_oa":false,"landing_page_url":"https://ir.cwi.nl/pub/17230","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorica, 28(5), 529 - 541","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:library.tue.nl:650754","is_oa":false,"landing_page_url":"http://repository.tue.nl/650754","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0209-9683","raw_type":"Article / Letter to the editor"},{"id":"pmh:tue:oai:pure.tue.nl:publications/b0867700-ca87-442d-948d-1d4bbdedfaf9","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/b0867700-ca87-442d-948d-1d4bbdedfaf9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorica, 28(5), 529 - 545. Janos Bolyai Mathematical Society","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W630423399","https://openalex.org/W1594563152","https://openalex.org/W1963743085","https://openalex.org/W1978113428","https://openalex.org/W2036855940","https://openalex.org/W2037011629","https://openalex.org/W2037787045","https://openalex.org/W2041263659","https://openalex.org/W2048245798","https://openalex.org/W2060664509","https://openalex.org/W2094746759","https://openalex.org/W2153413930","https://openalex.org/W4243142473","https://openalex.org/W4255690077"],"related_works":["https://openalex.org/W4368339666","https://openalex.org/W4243250875","https://openalex.org/W2067688212","https://openalex.org/W2890393729","https://openalex.org/W2129470382","https://openalex.org/W4234387146","https://openalex.org/W2900103943","https://openalex.org/W3163262314","https://openalex.org/W4301774312","https://openalex.org/W2588376139"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}