{"id":"https://openalex.org/W2806902968","doi":"https://doi.org/10.1007/s40306-018-0273-0","title":"Critical Paired Dominating Sets and Irreducible Decompositions of Powers of Edge Ideals","display_name":"Critical Paired Dominating Sets and Irreducible Decompositions of Powers of Edge Ideals","publication_year":2018,"publication_date":"2018-06-02","ids":{"openalex":"https://openalex.org/W2806902968","doi":"https://doi.org/10.1007/s40306-018-0273-0","mag":"2806902968"},"language":"en","primary_location":{"id":"doi:10.1007/s40306-018-0273-0","doi":"https://doi.org/10.1007/s40306-018-0273-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40306-018-0273-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210239085","display_name":"Acta Mathematica Vietnamica","issn_l":"0251-4184","issn":["0251-4184","2315-4144"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-3","vabb-shw"],"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":"Acta Mathematica Vietnamica","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2806902968"],"child_works_count":0,"type":"article","is_traditional":true,"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/A5101480485","display_name":"Nguy\u1ec5n Th\u1ecb Ph\u01b0\u01a1ng Dung","orcid":"https://orcid.org/0000-0002-0260-7127","observed_orcids":["https://orcid.org/0000-0002-0260-7127"]},"institutions":[{"id":"https://openalex.org/I4210126287","display_name":"Thai Nguyen University of Agriculture and Forestry","ror":"https://ror.org/028zxrr95","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210126287"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Thi Dung","raw_affiliation_strings":["Thai Nguyen University of Agriculture and Forestry, Thai Nguyen, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Thai Nguyen University of Agriculture and Forestry, Thai Nguyen, Vietnam","institution_ids":["https://openalex.org/I4210126287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082154225","display_name":"Nguy\u1ec5n Th\u1ecb Thanh T\u00e2m","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4387156139","display_name":"Hung Vuong University","ror":"https://ror.org/036xsg644","country_code":"VN","type":"education","lineage":["https://openalex.org/I4387156139"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Thi Thanh Tam","raw_affiliation_strings":["Hung Vuong University, Viet Tri, Phu Tho, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hung Vuong University, Viet Tri, Phu Tho, Vietnam","institution_ids":["https://openalex.org/I4387156139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020435464","display_name":"Hoang Le Truong","orcid":"https://orcid.org/0000-0002-2256-3176","observed_orcids":["https://orcid.org/0000-0002-2256-3176"]},"institutions":[{"id":"https://openalex.org/I4210148301","display_name":"Institute of Mathematics","ror":"https://ror.org/04jr71r83","country_code":"VN","type":"facility","lineage":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]},{"id":"https://openalex.org/I70349855","display_name":"Vietnam Academy of Science and Technology","ror":"https://ror.org/02wsd5p50","country_code":"VN","type":"government","lineage":["https://openalex.org/I70349855"]},{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE","VN"],"is_corresponding":true,"raw_author_name":"Hoang Le Truong","raw_affiliation_strings":["Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam","Mathematik und Informatik, Universit\u00e4t des Saarlandes, Campus E2 4, 66123, Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]},{"raw_affiliation_string":"Mathematik und Informatik, Universit\u00e4t des Saarlandes, Campus E2 4, 66123, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023693510","display_name":"Hoang Ngoc Yen","orcid":"https://orcid.org/0000-0002-0183-6067","observed_orcids":["https://orcid.org/0000-0002-0183-6067"]},"institutions":[{"id":"https://openalex.org/I4387154701","display_name":"Thai Nguyen University Of Education","ror":"https://ror.org/044deqz63","country_code":"VN","type":"education","lineage":["https://openalex.org/I4387154701"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Hoang Ngoc Yen","raw_affiliation_strings":["Thai Nguyen University of Education, Thai Nguyen, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Thai Nguyen University of Education, Thai Nguyen, Vietnam","institution_ids":["https://openalex.org/I4387154701"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5020435464"],"corresponding_institution_ids":["https://openalex.org/I4210148301","https://openalex.org/I70349855","https://openalex.org/I91712215"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.827,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61417189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"44","issue":"3","first_page":"587","last_page":"601"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.913100004196167,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.913100004196167,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.030799999833106995,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.013899999670684338,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/paired-domination","display_name":"paired domination","score":0.9049999713897705},{"id":"https://openalex.org/keywords/irreducible-decomposition","display_name":"irreducible decomposition","score":0.8299999833106995},{"id":"https://openalex.org/keywords/edge-ideals","display_name":"edge ideals","score":0.9620000123977661},{"id":"https://openalex.org/keywords/monomial-ideals","display_name":"monomial ideals","score":0.7770000100135803},{"id":"https://openalex.org/keywords/powers-of-ideals","display_name":"powers of ideals","score":0.7039999961853027},{"id":"https://openalex.org/keywords/matching-number","display_name":"matching number","score":0.9210000038146973},{"id":"https://openalex.org/keywords/graph-theory","display_name":"graph theory","score":0.3440000116825104},{"id":"https://openalex.org/keywords/commutative-algebra","display_name":"commutative algebra","score":0.902999997138977}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7849145531654358},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7762246131896973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7753227949142456},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.5965355038642883},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.48591485619544983},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.4247451722621918},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4041929841041565},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3957575261592865}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40306-018-0273-0","doi":"https://doi.org/10.1007/s40306-018-0273-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40306-018-0273-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210239085","display_name":"Acta Mathematica Vietnamica","issn_l":"0251-4184","issn":["0251-4184","2315-4144"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-3","vabb-shw"],"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":"Acta Mathematica Vietnamica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7723199482","display_name":"M\u00e1y t\u00ednh h\u1ed7 tr\u1ee3 c\u00e1c ch\u1ee9ng minh: M\u1ed9t s\u1ed1 b\u1ea5t bi\u1ebfn c\u1ee7a \u0111a t\u1ea1p v\u00e0 m\u1ed9t s\u1ed1 v\u1ea5n \u0111\u1ec1 v\u1ec1 \u0111\u01a1n h\u1eefu t\u1ef7.","funder_award_id":"101.04-2017.14","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"}],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W1977182256","https://openalex.org/W1995950617","https://openalex.org/W2003370404","https://openalex.org/W2016962272","https://openalex.org/W2051206167","https://openalex.org/W2059608229","https://openalex.org/W2088737132","https://openalex.org/W2103059334","https://openalex.org/W2249255167","https://openalex.org/W2337462376","https://openalex.org/W2752812391","https://openalex.org/W2752945912","https://openalex.org/W2964312789","https://openalex.org/W4233756358","https://openalex.org/W6600721425"],"related_works":["https://openalex.org/W3015611081","https://openalex.org/W1988321487","https://openalex.org/W4407593169","https://openalex.org/W2587625905","https://openalex.org/W2041621858","https://openalex.org/W1975999209","https://openalex.org/W2794794122","https://openalex.org/W2003716984","https://openalex.org/W2108271056","https://openalex.org/W2222668086"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2018-06-13T00:00:00"}