{"id":"https://openalex.org/W4406267930","doi":"https://doi.org/10.1080/09728600.2024.2443910","title":"Some complexity results on semipaired domination in graphs","display_name":"Some complexity results on semipaired domination in graphs","publication_year":2025,"publication_date":"2025-01-10","ids":{"openalex":"https://openalex.org/W4406267930","doi":"https://doi.org/10.1080/09728600.2024.2443910"},"language":"en","primary_location":{"id":"doi:10.1080/09728600.2024.2443910","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2024.2443910","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1080/09728600.2024.2443910","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044880150","display_name":"Vikash Tripathi","orcid":"https://orcid.org/0000-0002-5703-0417"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vikash Tripathi","raw_affiliation_strings":["The Institute of Mathematical Sciences, HBNI","The Institute of Mathematical Sciences, HBNI, Chennai, India"],"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, HBNI","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences, HBNI, Chennai, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008751912","display_name":"Kusum","orcid":null},"institutions":[{"id":"https://openalex.org/I119241673","display_name":"Indian Institute of Technology Ropar","ror":"https://ror.org/02qkhhn56","country_code":"IN","type":"education","lineage":["https://openalex.org/I119241673"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Kusum","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Ropar","Department of Mathematics, Indian Institute of Technology Ropar, Punjab, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Ropar","institution_ids":["https://openalex.org/I119241673"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Ropar, Punjab, India","institution_ids":["https://openalex.org/I119241673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102755835","display_name":"Arti Pandey","orcid":"https://orcid.org/0000-0001-6425-5529"},"institutions":[{"id":"https://openalex.org/I119241673","display_name":"Indian Institute of Technology Ropar","ror":"https://ror.org/02qkhhn56","country_code":"IN","type":"education","lineage":["https://openalex.org/I119241673"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Arti Pandey","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Ropar","Department of Mathematics, Indian Institute of Technology Ropar, Punjab, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Ropar","institution_ids":["https://openalex.org/I119241673"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Ropar, Punjab, India","institution_ids":["https://openalex.org/I119241673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008751912"],"corresponding_institution_ids":["https://openalex.org/I119241673"],"apc_list":{"value":1000,"currency":"GBP","value_usd":1226},"apc_paid":{"value":1000,"currency":"GBP","value_usd":1226},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0115367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"2","first_page":"183","last_page":"189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973999857902527,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9932000041007996,"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":0.8573952913284302},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6999596953392029},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.559645414352417},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2767888605594635},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.1390896737575531}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8573952913284302},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6999596953392029},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.559645414352417},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2767888605594635},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.1390896737575531}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/09728600.2024.2443910","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2024.2443910","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ce88e7a6aea34dd6ae62d47706dbbe87","is_oa":true,"landing_page_url":"https://doaj.org/article/ce88e7a6aea34dd6ae62d47706dbbe87","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics, Vol 22, Iss 2, Pp 183-189 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1080/09728600.2024.2443910","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2024.2443910","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W560340026","https://openalex.org/W1033655406","https://openalex.org/W1974224894","https://openalex.org/W2003370404","https://openalex.org/W2802627953","https://openalex.org/W2884228923","https://openalex.org/W2949015409","https://openalex.org/W2984335350","https://openalex.org/W3033103597","https://openalex.org/W3178831799","https://openalex.org/W4200630549","https://openalex.org/W4214483257","https://openalex.org/W4244148219","https://openalex.org/W4248338579","https://openalex.org/W4253733479","https://openalex.org/W4367459369","https://openalex.org/W7043250094"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W1976691234","https://openalex.org/W2963176699","https://openalex.org/W2888180870","https://openalex.org/W4205905997","https://openalex.org/W2986400025"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,15],"see":[2,16],"text]":[3,17],"be":[4,29],"a":[5,21,59,66,131,157],"graph":[6,68,102],"without":[7],"any":[8],"isolated":[9],"vertices.":[10],"A":[11],"semipaired":[12,62],"dominating":[13,22,63],"set":[14,23,64],"of":[18,24,41,65,77,95,116,145],"G,":[19,25],"is":[20,56,71,80,148],"if":[26],"D":[27],"can":[28],"partitioned":[30],"into":[31],"cardinality":[32,61],"2":[33],"subsets":[34,43],"such":[35],"that":[36,73,112],"the":[37,74,78,93,96,113,117,126,136,143,146,164],"vertices":[38],"in":[39,98,139,152,166],"each":[40,51],"these":[42],"are":[44],"at":[45,47],"distance":[46],"most":[48],"two":[49,99],"from":[50],"other.":[52],"The":[53],"Min-Semi-PD":[54,118,137],"problem":[55,79,97,119,138,165],"to":[57],"compute":[58],"minimum":[60],"given":[67],"G.":[69],"It":[70],"known":[72],"decision":[75,114],"version":[76,115],"NP-complete":[81,121],"for":[82,122,135,163],"bipartite":[83],"graphs":[84,106],"and":[85,107],"split":[86],"graphs.":[87,109,124,168],"In":[88],"this":[89],"article,":[90],"we":[91,129,154],"resolve":[92],"complexity":[94,144],"well":[100],"studied":[101],"classes,":[103],"namely,":[104],"AT-free":[105,140,167],"planar":[108,123],"We":[110],"show":[111],"remains":[120],"On":[125],"positive":[127],"side,":[128],"propose":[130],"polynomial-time":[132],"exact":[133],"algorithm":[134,147,162],"graphs,":[141],"but":[142],"quite":[149],"high.":[150],"So,":[151],"addition,":[153],"also":[155],"give":[156],"linear-time":[158],"constant":[159],"factor":[160],"approximation":[161]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}