{"id":"https://openalex.org/W3212467123","doi":"https://doi.org/10.1080/09728600.2021.1995307","title":"Independent point-set domination in line graphs","display_name":"Independent point-set domination in line graphs","publication_year":2021,"publication_date":"2021-09-02","ids":{"openalex":"https://openalex.org/W3212467123","doi":"https://doi.org/10.1080/09728600.2021.1995307","mag":"3212467123"},"language":"en","primary_location":{"id":"doi:10.1080/09728600.2021.1995307","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2021.1995307","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/09728600.2021.1995307?needAccess=true","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://www.tandfonline.com/doi/pdf/10.1080/09728600.2021.1995307?needAccess=true","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008708299","display_name":"Purnima Gupta","orcid":"https://orcid.org/0000-0003-4389-3024"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Purnima Gupta","raw_affiliation_strings":["Department of Mathematics, Sri Venkateswara College, University of Delhi, Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sri Venkateswara College, University of Delhi, Delhi, India","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038367284","display_name":"Alka Goyal","orcid":null},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Alka Goyal","raw_affiliation_strings":["Department of Mathematics, Sri Venkateswara College, University of Delhi, Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sri Venkateswara College, University of Delhi, Delhi, India","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079672245","display_name":"Ranjana Jain","orcid":"https://orcid.org/0000-0001-5302-5656"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ranjana Jain","raw_affiliation_strings":["Department of Mathematics, Sri Venkateswara College, University of Delhi, Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sri Venkateswara College, University of Delhi, Delhi, India","institution_ids":["https://openalex.org/I110166357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038367284"],"corresponding_institution_ids":["https://openalex.org/I110166357"],"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":0.20544208,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"3","first_page":"180","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9986000061035156,"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":0.9986000061035156,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9976999759674072,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8393205404281616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7608795762062073},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.6958860754966736},{"id":"https://openalex.org/keywords/block-graph","display_name":"Block graph","score":0.5387803316116333},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5059704184532166},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.5004112720489502},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.456502765417099},{"id":"https://openalex.org/keywords/vertex-transitive-graph","display_name":"Vertex-transitive graph","score":0.43581101298332214},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.42071953415870667},{"id":"https://openalex.org/keywords/complement-graph","display_name":"Complement graph","score":0.4196152091026306},{"id":"https://openalex.org/keywords/bound-graph","display_name":"Bound graph","score":0.4184771180152893},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40971845388412476},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.36154723167419434},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.35061636567115784},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.17160144448280334}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8393205404281616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7608795762062073},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.6958860754966736},{"id":"https://openalex.org/C43413943","wikidata":"https://www.wikidata.org/wiki/Q4927193","display_name":"Block graph","level":5,"score":0.5387803316116333},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5059704184532166},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.5004112720489502},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.456502765417099},{"id":"https://openalex.org/C113203676","wikidata":"https://www.wikidata.org/wiki/Q220997","display_name":"Vertex-transitive graph","level":5,"score":0.43581101298332214},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.42071953415870667},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.4196152091026306},{"id":"https://openalex.org/C121134508","wikidata":"https://www.wikidata.org/wiki/Q4949882","display_name":"Bound graph","level":5,"score":0.4184771180152893},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40971845388412476},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.36154723167419434},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.35061636567115784},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.17160144448280334}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/09728600.2021.1995307","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2021.1995307","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/09728600.2021.1995307?needAccess=true","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:b92e3f8397bb4782a9662d610615280e","is_oa":true,"landing_page_url":"https://doaj.org/article/b92e3f8397bb4782a9662d610615280e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics, Vol 18, Iss 3, Pp 180-185 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1080/09728600.2021.1995307","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2021.1995307","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/09728600.2021.1995307?needAccess=true","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":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3212467123.pdf"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1546866970","https://openalex.org/W1808305725","https://openalex.org/W1985260677","https://openalex.org/W2014287896","https://openalex.org/W2970630501","https://openalex.org/W4213214460","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2219991221","https://openalex.org/W2044762907","https://openalex.org/W2293414251","https://openalex.org/W2097999883","https://openalex.org/W2044289376","https://openalex.org/W4232461730","https://openalex.org/W2054343363","https://openalex.org/W3182166453","https://openalex.org/W2580189544","https://openalex.org/W2070569225"],"abstract_inverted_index":{"Line":[0],"graph":[1,4,9,30,34,38,60,68,84],"of":[2,10,15,29,53,57,72,95],"a":[3,22,48,67],"G":[5,31,54],"is":[6,35,77],"an":[7,36,41,88,109],"intersection":[8],"the":[11,27,70,73],"edge":[12],"set":[13,112],"E(G)":[14],"G.":[16],"In":[17],"this":[18],"paper,":[19],"we":[20,91],"obtain":[21],"sharp":[23],"upper":[24],"bound":[25],"on":[26],"diameter":[28,52,56],"whose":[32,105],"line":[33,59,83,106],"ipsd":[37],"(graph":[39],"possessing":[40],"independent":[42,110],"point-set":[43],"dominating":[44,113],"set)":[45],"by":[46],"establishing":[47],"fundamental":[49],"relation":[50],"between":[51],"and":[55,101],"its":[58,82],"L(G).":[61],"We":[62],"prove":[63],"that":[64],"if":[65],"for":[66],"G,":[69],"length":[71],"longest":[74],"induced":[75],"cycle":[76],"greater":[78],"than":[79],"5,":[80],"then":[81],"does":[85],"not":[86],"possess":[87,108],"ipsd-set.":[89],"Further":[90],"characterize":[92],"certain":[93],"classes":[94],"graphs":[96,100,104,107],"viz.,":[97],"trees,":[98],"complete":[99,102],"bipartite":[103],"point":[111],"set.":[114]},"counts_by_year":[],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}