{"id":"https://openalex.org/W4367694634","doi":"https://doi.org/10.48550/arxiv.2305.00730","title":"Integer Linear Programming Formulations for Triple and Quadruple Roman Domination Problems","display_name":"Integer Linear Programming Formulations for Triple and Quadruple Roman Domination Problems","publication_year":2023,"publication_date":"2023-05-01","ids":{"openalex":"https://openalex.org/W4367694634","doi":"https://doi.org/10.48550/arxiv.2305.00730"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2305.00730","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.00730","pdf_url":"https://arxiv.org/pdf/2305.00730","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2305.00730","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000284141","display_name":"Sanath Kumar Vengaldas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vengaldas, Sanath Kumar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013055414","display_name":"Adarsh Reddy Muthyala","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Muthyala, Adarsh Reddy","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055110180","display_name":"Bharath Chaitanya Konkati","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Konkati, Bharath Chaitanya","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5067581019","display_name":"P. Venkata Subba Reddy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Reddy, P. Venkata Subba","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.891700029373169,"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":0.891700029373169,"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/integer-programming","display_name":"Integer programming","score":0.6396843791007996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4984290599822998},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49009454250335693},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.42794692516326904},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4081065356731415},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4078305661678314},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23727893829345703},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.06957376003265381}],"concepts":[{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6396843791007996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4984290599822998},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49009454250335693},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.42794692516326904},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4081065356731415},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4078305661678314},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23727893829345703},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.06957376003265381}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2305.00730","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.00730","pdf_url":"https://arxiv.org/pdf/2305.00730","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2305.00730","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2305.00730","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2305.00730","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.00730","pdf_url":"https://arxiv.org/pdf/2305.00730","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4367694634.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1976691234","https://openalex.org/W2963176699","https://openalex.org/W2888180870","https://openalex.org/W2146588052","https://openalex.org/W4205905997","https://openalex.org/W2986400025","https://openalex.org/W2349109195","https://openalex.org/W2069797780","https://openalex.org/W4297965885"],"abstract_inverted_index":{"Roman":[0,15,19,23,36,40,58,66,70],"domination":[1,20,24,37,41,59,67,71],"is":[2],"a":[3],"well":[4],"researched":[5],"topic":[6],"in":[7],"graph":[8],"theory.":[9],"Recently":[10],"two":[11],"new":[12],"variants":[13],"of":[14],"domination,":[16],"namely":[17],"triple":[18,35,55,65],"and":[21,38,56,68,87],"quadruple":[22,39,57,69],"problems":[25,42,72],"have":[26,49,73],"been":[27,74],"introduced,":[28],"to":[29],"provide":[30],"better":[31],"defense":[32],"strategies.":[33],"However,":[34],"are":[43,79],"NP-hard.":[44],"In":[45],"this":[46],"paper,":[47],"we":[48],"provided":[50],"genetic":[51],"algorithm":[52],"for":[53,64,90],"solving":[54],"problems.":[60],"Programming":[61],"(ILP)":[62],"formulations":[63],"proposed.":[75],"The":[76],"proposed":[77],"models":[78],"implemented":[80],"using":[81,94],"IBM":[82],"CPLEX":[83],"22.1":[84],"optimization":[85],"solvers":[86],"obtained":[88],"results":[89],"random":[91],"graphs":[92],"generated":[93],"NetworkX":[95],"Erdos-Renyi":[96],"model.":[97]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}