{"id":"https://openalex.org/W1750260646","doi":"https://doi.org/10.1007/s00453-006-0104-x","title":"The Expected Size of the Rule k Dominating Set","display_name":"The Expected Size of the Rule k Dominating Set","publication_year":2006,"publication_date":"2006-10-19","ids":{"openalex":"https://openalex.org/W1750260646","doi":"https://doi.org/10.1007/s00453-006-0104-x","mag":"1750260646"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-006-0104-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-006-0104-x","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","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/A5000420164","display_name":"Jennie C. Hansen","orcid":null},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jennie C. Hansen","raw_affiliation_strings":["Actuarial Mathematics and Statistics Department,\nHerriot-Watt University, Edinburgh EH14 4AS, Scotland","Actuarial Mathematics and Statistics Department,#N#Herriot-Watt University, Edinburgh EH14 4AS, Scotland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Actuarial Mathematics and Statistics Department,\nHerriot-Watt University, Edinburgh EH14 4AS, Scotland","institution_ids":["https://openalex.org/I32062511"]},{"raw_affiliation_string":"Actuarial Mathematics and Statistics Department,#N#Herriot-Watt University, Edinburgh EH14 4AS, Scotland","institution_ids":["https://openalex.org/I32062511"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048043622","display_name":"Eric Schmutz","orcid":null},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eric Schmutz","raw_affiliation_strings":["Department of Mathematics, Drexel University, Philadelphia, PA 19104, USA","Department of Mathematics , Drexel University , Philadelphia , PA 19104 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Drexel University, Philadelphia, PA 19104, USA","institution_ids":["https://openalex.org/I72816309"]},{"raw_affiliation_string":"Department of Mathematics , Drexel University , Philadelphia , PA 19104 , USA","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064869270","display_name":"Sheng Li","orcid":"https://orcid.org/0000-0003-1315-4730"},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Li Sheng","raw_affiliation_strings":["Department of Mathematics, Drexel University, Philadelphia, PA 19104, USA","Department of Mathematics , Drexel University , Philadelphia , PA 19104 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Drexel University, Philadelphia, PA 19104, USA","institution_ids":["https://openalex.org/I72816309"]},{"raw_affiliation_string":"Department of Mathematics , Drexel University , Philadelphia , PA 19104 , USA","institution_ids":["https://openalex.org/I72816309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000420164","https://openalex.org/A5048043622","https://openalex.org/A5064869270"],"corresponding_institution_ids":["https://openalex.org/I32062511","https://openalex.org/I72816309"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.6866,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83006536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"46","issue":"3-4","first_page":"409","last_page":"418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9991999864578247,"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":0.9988999962806702,"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/combinatorics","display_name":"Combinatorics","score":0.8016113042831421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7694563865661621},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.6767313480377197},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.48600849509239197},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4707643985748291},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.418510764837265},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.41107532382011414},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4018072485923767},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1708914041519165},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.07730579376220703}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8016113042831421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7694563865661621},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.6767313480377197},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.48600849509239197},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4707643985748291},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.418510764837265},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.41107532382011414},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4018072485923767},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1708914041519165},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.07730579376220703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00453-006-0104-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-006-0104-x","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.342.3364","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.342.3364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cs/0408067v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.93.7612","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.93.7612","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.drexel.edu/coas/math/preprint/2004Schmutz01.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W37909102","https://openalex.org/W112474555","https://openalex.org/W205317756","https://openalex.org/W1509326639","https://openalex.org/W1538390725","https://openalex.org/W1602335774","https://openalex.org/W1918250237","https://openalex.org/W1984385455","https://openalex.org/W2022318042","https://openalex.org/W2045028348","https://openalex.org/W2045349136","https://openalex.org/W2056979696","https://openalex.org/W2058917139","https://openalex.org/W2063572899","https://openalex.org/W2066577300","https://openalex.org/W2088521668","https://openalex.org/W2098502330","https://openalex.org/W2103772074","https://openalex.org/W2103902040","https://openalex.org/W2125398755","https://openalex.org/W2139349113","https://openalex.org/W2153413930","https://openalex.org/W2155984879","https://openalex.org/W2165275875","https://openalex.org/W2167810763","https://openalex.org/W2169848785","https://openalex.org/W2671731656","https://openalex.org/W2733786774","https://openalex.org/W2798062075","https://openalex.org/W2952194979","https://openalex.org/W3141863997"],"related_works":["https://openalex.org/W3184131894","https://openalex.org/W3018679651","https://openalex.org/W1490764355","https://openalex.org/W2513388465","https://openalex.org/W2329407138","https://openalex.org/W885288402","https://openalex.org/W2001283893","https://openalex.org/W2032550399","https://openalex.org/W2057791178","https://openalex.org/W2007607373"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
