{"id":"https://openalex.org/W2751987736","doi":"https://doi.org/10.37236/6531","title":"Vertex-Addition Strategy for Domination-Like Invariants","display_name":"Vertex-Addition Strategy for Domination-Like Invariants","publication_year":2017,"publication_date":"2017-09-08","ids":{"openalex":"https://openalex.org/W2751987736","doi":"https://doi.org/10.37236/6531","mag":"2751987736"},"language":"en","primary_location":{"id":"doi:10.37236/6531","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6531","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/6531","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045129685","display_name":"Michitaka Furuya","orcid":"https://orcid.org/0000-0003-0991-6122"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michitaka Furuya","raw_affiliation_strings":["Kitazato University"],"affiliations":[{"raw_affiliation_string":"Kitazato University","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037172032","display_name":"Naoki Matsumoto","orcid":"https://orcid.org/0000-0003-2861-7152"},"institutions":[{"id":"https://openalex.org/I6030618","display_name":"Seikei University","ror":"https://ror.org/03ptaj492","country_code":"JP","type":"education","lineage":["https://openalex.org/I6030618"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naoki Matsumoto","raw_affiliation_strings":["Seikei University"],"affiliations":[{"raw_affiliation_string":"Seikei University","institution_ids":["https://openalex.org/I6030618"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045129685"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15141697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9969000220298767,"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":0.9969000220298767,"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/T12288","display_name":"Optimization and Search Problems","score":0.9053000211715698,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8887059092521667},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.7837285995483398},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7577966451644897},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6482149958610535},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6026221513748169},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4940233826637268},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4909551441669464},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.422211229801178},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3660717010498047}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8887059092521667},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.7837285995483398},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7577966451644897},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6482149958610535},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6026221513748169},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4940233826637268},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4909551441669464},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.422211229801178},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3660717010498047},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/6531","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6531","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/6531","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6531","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2794522194","https://openalex.org/W2963404550","https://openalex.org/W4367190712","https://openalex.org/W30750922","https://openalex.org/W4378234127","https://openalex.org/W72870998","https://openalex.org/W2763279932","https://openalex.org/W2339280209","https://openalex.org/W2346500824","https://openalex.org/W4299822763"],"abstract_inverted_index":{"In":[0,27],"[J.":[1],"Graph":[2],"Theory":[3],"13":[4],"(1989)":[5],"749\u2014762],":[6],"McCuaig":[7],"and":[8,65,72],"Shepherd":[9],"gave":[10],"an":[11],"upper":[12,44],"bound":[13,45],"of":[14,46,53,75],"the":[15,38,47,51,58,73],"domination":[16,48],"number":[17,49,52,74],"for":[18],"connected":[19],"graphs":[20],"with":[21,37],"minimum":[22],"degree":[23],"at":[24],"least":[25],"two.":[26],"this":[28],"paper,":[29],"we":[30],"propose":[31],"a":[32,42,67],"simple":[33],"strategy":[34,60],"which,":[35],"together":[36],"McCuaig-Shepherd":[39],"theorem,":[40],"gives":[41],"sharp":[43],"via":[50],"leaves.":[54,76],"We":[55],"also":[56],"apply":[57],"same":[59],"to":[61],"other":[62],"domination-like":[63],"invariants,":[64],"find":[66],"relationship":[68],"between":[69],"such":[70],"invariants":[71]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
