{"id":"https://openalex.org/W3174528992","doi":"https://doi.org/10.1155/2021/9952481","title":"Statistics and Calculation of Entropy of Dominating David Derived Networks","display_name":"Statistics and Calculation of Entropy of Dominating David Derived Networks","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3174528992","doi":"https://doi.org/10.1155/2021/9952481","mag":"3174528992"},"language":"en","primary_location":{"id":"doi:10.1155/2021/9952481","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9952481","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/9952481.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2021/9952481.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101465788","display_name":"Xuemei Zhao","orcid":"https://orcid.org/0000-0001-5977-4164"},"institutions":[{"id":"https://openalex.org/I4210114245","display_name":"Anhui Business College","ror":"https://ror.org/02d0cgn19","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210114245"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuemei Zhao","raw_affiliation_strings":["Anhui Business and Technology College, Hefei 231131, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Anhui Business and Technology College, Hefei 231131, China","institution_ids":["https://openalex.org/I4210114245"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014716837","display_name":"Haidar Ali","orcid":"https://orcid.org/0000-0002-9815-7158"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Haidar Ali","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Attock Campus, Islamabad, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-9815-7158","affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Attock Campus, Islamabad, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038707755","display_name":"Bilal Ali","orcid":"https://orcid.org/0000-0003-4049-9443"},"institutions":[{"id":"https://openalex.org/I194348271","display_name":"Government College University, Faisalabad","ror":"https://ror.org/051zgra59","country_code":"PK","type":"education","lineage":["https://openalex.org/I194348271"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Bilal Ali","raw_affiliation_strings":["Department of Mathematics, Government College University, Faisalabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government College University, Faisalabad, Pakistan","institution_ids":["https://openalex.org/I194348271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088782593","display_name":"Muhammad Ahsan Binyamin","orcid":"https://orcid.org/0000-0003-0717-7557"},"institutions":[{"id":"https://openalex.org/I194348271","display_name":"Government College University, Faisalabad","ror":"https://ror.org/051zgra59","country_code":"PK","type":"education","lineage":["https://openalex.org/I194348271"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Ahsan Binyamin","raw_affiliation_strings":["Department of Mathematics, Government College University, Faisalabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government College University, Faisalabad, Pakistan","institution_ids":["https://openalex.org/I194348271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076981458","display_name":"Jia\u2010Bao Liu","orcid":"https://orcid.org/0000-0002-9620-7692"},"institutions":[{"id":"https://openalex.org/I118987531","display_name":"Anhui Jianzhu University","ror":"https://ror.org/0108wjw08","country_code":"CN","type":"education","lineage":["https://openalex.org/I118987531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia-Bao Liu","raw_affiliation_strings":["School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China"],"raw_orcid":"https://orcid.org/0000-0002-9620-7692","affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China","institution_ids":["https://openalex.org/I118987531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008339384","display_name":"Ali Raza","orcid":"https://orcid.org/0000-0002-0152-4821"},"institutions":[{"id":"https://openalex.org/I194348271","display_name":"Government College University, Faisalabad","ror":"https://ror.org/051zgra59","country_code":"PK","type":"education","lineage":["https://openalex.org/I194348271"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Ali Raza","raw_affiliation_strings":["Department of Statistics, Government College University, Faisalabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Government College University, Faisalabad, Pakistan","institution_ids":["https://openalex.org/I194348271"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5014716837"],"corresponding_institution_ids":["https://openalex.org/I16076960"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":5.0673,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.95902172,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.9904999732971191,"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/T10086","display_name":"Alzheimer's disease research and treatments","score":0.9779999852180481,"subfield":{"id":"https://openalex.org/subfields/2737","display_name":"Physiology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4885610044002533},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4809369444847107},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4805513024330139},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4168008267879486}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4885610044002533},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4809369444847107},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4805513024330139},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4168008267879486}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/9952481","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9952481","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/9952481.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:9952481","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/9952481.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:df49259ad4fe483b809d475f491a6703","is_oa":true,"landing_page_url":"https://doaj.org/article/df49259ad4fe483b809d475f491a6703","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":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/9952481","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/9952481","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/9952481.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3174528992.pdf","grobid_xml":"https://content.openalex.org/works/W3174528992.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W72434325","https://openalex.org/W95475432","https://openalex.org/W106879616","https://openalex.org/W1484040084","https://openalex.org/W1995875735","https://openalex.org/W2021229217","https://openalex.org/W2029782076","https://openalex.org/W2055750281","https://openalex.org/W2059295424","https://openalex.org/W2081422980","https://openalex.org/W2107886177","https://openalex.org/W2180596940","https://openalex.org/W2314696023","https://openalex.org/W2318794083","https://openalex.org/W2341939561","https://openalex.org/W2791773435","https://openalex.org/W3155636855","https://openalex.org/W6602925205"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"A":[0,96],"graph\u2019s":[1],"entropy":[2,28,102],"is":[3],"a":[4,37],"functional":[5],"one,":[6],"based":[7],"on":[8,18],"both":[9],"the":[10,14,23],"graph":[11,27],"itself":[12],"and":[13,46,62,76,100,114],"distribution":[15],"of":[16,25,39,58,83,103],"probability":[17],"its":[19,30],"vertex":[20],"set.":[21],"In":[22,49],"theory":[24],"information,":[26],"has":[29],"origins.":[31],"Dominating":[32],"David":[33,55],"derived":[34,56],"networks":[35],"have":[36],"variety":[38],"important":[40],"applications":[41],"in":[42],"medication":[43],"store,":[44],"hardware,":[45],"system":[47],"administration.":[48],"this":[50],"study,":[51],"we":[52],"discuss":[53],"dominating":[54],"network":[57],"type":[59],"1,":[60],"2,":[61],"3":[63,78,116],"written":[64],"as":[65,94],"D":[66,71,77,104,109,115],"1":[67,105],"(":[68,73,79,106,111,117],"n":[69,74,80,85,107,112,118],"),":[70,75,81,108,113],"2":[72,110],"respectively":[82],"order":[84],".":[86],"We":[87],"also":[88],"compute":[89],"some":[90],"degree\u2010based":[91],"entropies":[92],"such":[93],"Randi\u0107,":[95],"B":[97],"C":[98],",":[99],"GA":[101],").":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
