{"id":"https://openalex.org/W4411344131","doi":"https://doi.org/10.3390/e27060634","title":"A Method Inspired by One-Dimensional Discrete-Time Quantum Walks for Influential Node Identification","display_name":"A Method Inspired by One-Dimensional Discrete-Time Quantum Walks for Influential Node Identification","publication_year":2025,"publication_date":"2025-06-14","ids":{"openalex":"https://openalex.org/W4411344131","doi":"https://doi.org/10.3390/e27060634","pmid":"https://pubmed.ncbi.nlm.nih.gov/40566221"},"language":"en","primary_location":{"id":"doi:10.3390/e27060634","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27060634","pdf_url":"https://www.mdpi.com/1099-4300/27/6/634/pdf?version=1750138826","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/27/6/634/pdf?version=1750138826","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033669271","display_name":"Wen Liang","orcid":"https://orcid.org/0000-0003-1938-0149"},"institutions":[{"id":"https://openalex.org/I116036724","display_name":"Shenyang Ligong University","ror":"https://ror.org/03m20nr07","country_code":"CN","type":"education","lineage":["https://openalex.org/I116036724"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wen Liang","raw_affiliation_strings":["College of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, China"],"raw_orcid":"https://orcid.org/0000-0003-1938-0149","affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, China","institution_ids":["https://openalex.org/I116036724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100398552","display_name":"Yifan Wang","orcid":"https://orcid.org/0000-0002-2818-2331"},"institutions":[{"id":"https://openalex.org/I116036724","display_name":"Shenyang Ligong University","ror":"https://ror.org/03m20nr07","country_code":"CN","type":"education","lineage":["https://openalex.org/I116036724"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yifan Wang","raw_affiliation_strings":["College of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, China","institution_ids":["https://openalex.org/I116036724"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Qiwei Liu","orcid":"https://orcid.org/0009-0002-2171-9770"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiwei Liu","raw_affiliation_strings":["School of Public Administration and Policy, Dalian University of Technology, Dalian 116081, China"],"raw_orcid":"https://orcid.org/0009-0002-2171-9770","affiliations":[{"raw_affiliation_string":"School of Public Administration and Policy, Dalian University of Technology, Dalian 116081, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073229663","display_name":"Wenbo Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I116036724","display_name":"Shenyang Ligong University","ror":"https://ror.org/03m20nr07","country_code":"CN","type":"education","lineage":["https://openalex.org/I116036724"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenbo Zhang","raw_affiliation_strings":["College of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, China","institution_ids":["https://openalex.org/I116036724"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033669271"],"corresponding_institution_ids":["https://openalex.org/I116036724"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":1.2699,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.84249643,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"27","issue":"6","first_page":"634","last_page":"634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9962000250816345,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/quantum-walk","display_name":"Quantum walk","score":0.6675706505775452},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.6528010368347168},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5612397193908691},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5333561897277832},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45340532064437866},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.434704065322876},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4273327589035034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41020795702934265},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3638400137424469},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3432236909866333},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3364236652851105},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.3044276833534241},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22822904586791992},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2214221954345703},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19300147891044617}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.6675706505775452},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.6528010368347168},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5612397193908691},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5333561897277832},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45340532064437866},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.434704065322876},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4273327589035034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41020795702934265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3638400137424469},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3432236909866333},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3364236652851105},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3044276833534241},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22822904586791992},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2214221954345703},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19300147891044617},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e27060634","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27060634","pdf_url":"https://www.mdpi.com/1099-4300/27/6/634/pdf?version=1750138826","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:40566221","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40566221","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:d8a61d94880242289fcad87390e043b7","is_oa":true,"landing_page_url":"https://doaj.org/article/d8a61d94880242289fcad87390e043b7","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":"Entropy, Vol 27, Iss 6, p 634 (2025)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:12191468","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12191468","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e27060634","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27060634","pdf_url":"https://www.mdpi.com/1099-4300/27/6/634/pdf?version=1750138826","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320313852","display_name":"Shenyang Ligong University","ror":"https://ror.org/03m20nr07"},{"id":"https://openalex.org/F4320323086","display_name":"Natural Science Foundation of Liaoning Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411344131.pdf","grobid_xml":"https://content.openalex.org/works/W4411344131.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W46234782","https://openalex.org/W2286055517","https://openalex.org/W2461110262","https://openalex.org/W2809132165","https://openalex.org/W2972205206","https://openalex.org/W3021374038","https://openalex.org/W3031552253","https://openalex.org/W3094694622","https://openalex.org/W3103949045","https://openalex.org/W3104262429","https://openalex.org/W3165376261","https://openalex.org/W4220875314","https://openalex.org/W4283587574","https://openalex.org/W4288809008","https://openalex.org/W4307610194","https://openalex.org/W4319321528","https://openalex.org/W4386101171","https://openalex.org/W4388009907","https://openalex.org/W4389262645","https://openalex.org/W4390508571","https://openalex.org/W4390675566","https://openalex.org/W4390939312","https://openalex.org/W4391154915","https://openalex.org/W4391248988","https://openalex.org/W4391621017","https://openalex.org/W4392003224","https://openalex.org/W4392203343","https://openalex.org/W4392385994","https://openalex.org/W4393404840","https://openalex.org/W4393960857","https://openalex.org/W4394565770","https://openalex.org/W4398170708","https://openalex.org/W4400410167","https://openalex.org/W4400975572","https://openalex.org/W4401235904","https://openalex.org/W4402775762","https://openalex.org/W6601886625","https://openalex.org/W6752826884","https://openalex.org/W6859109546"],"related_works":["https://openalex.org/W2089342336","https://openalex.org/W3114654323","https://openalex.org/W1968287309","https://openalex.org/W2883913628","https://openalex.org/W2800432156","https://openalex.org/W1566596544","https://openalex.org/W2009948449","https://openalex.org/W638834885","https://openalex.org/W4320736706","https://openalex.org/W3127020915"],"abstract_inverted_index":{"Identifying":[0],"influential":[1,142],"nodes":[2],"in":[3,33,109,145],"complex":[4,146],"networks":[5],"is":[6],"essential":[7],"for":[8,141],"a":[9,46,63,119,136],"wide":[10],"range":[11],"of":[12,62,93,123],"applications,":[13],"from":[14],"social":[15],"network":[16,153],"analysis":[17],"to":[18],"enhancing":[19,88],"infrastructure":[20],"resilience.":[21],"While":[22],"quantum":[23,54,101],"walk-based":[24],"methods":[25,104],"offer":[26],"potential":[27],"advantages,":[28],"existing":[29],"approaches":[30],"face":[31],"challenges":[32],"dimensionality,":[34],"computational":[35,121],"efficiency,":[36],"and":[37,71,79,91,102,113,138],"accuracy.":[38],"To":[39],"address":[40],"these":[41],"limitations,":[42],"this":[43],"study":[44],"proposes":[45],"novel":[47],"method":[48],"inspired":[49],"by":[50],"the":[51,60,72,85,89,94,128],"one-dimensional":[52],"discrete-time":[53],"walk":[55],"(IOQW).":[56],"This":[57],"design":[58],"enables":[59],"development":[61],"simplified":[64],"shift":[65],"operator":[66],"that":[67,106],"leverages":[68],"both":[69,111],"self-loops":[70],"network's":[73],"structural":[74],"connectivity.":[75],"Furthermore,":[76],"degree":[77],"centrality":[78],"path-based":[80],"features":[81],"are":[82],"integrated":[83],"into":[84],"coin":[86],"operator,":[87],"accuracy":[90],"scalability":[92],"IOQW":[95,107,134],"framework.":[96],"Comparative":[97],"evaluations":[98],"against":[99],"state-of-the-art":[100],"classical":[103],"demonstrate":[105],"excels":[108],"capturing":[110],"local":[112],"global":[114],"topological":[115],"properties":[116],"while":[117],"maintaining":[118],"low":[120],"complexity":[122],"O(N\u27e8k\u27e9),":[124],"where":[125],"\u27e8k\u27e9":[126],"denotes":[127],"average":[129],"degree.":[130],"These":[131],"advancements":[132],"establish":[133],"as":[135],"powerful":[137],"practical":[139],"tool":[140],"node":[143],"identification":[144],"networks,":[147],"bridging":[148],"quantum-inspired":[149],"techniques":[150],"with":[151],"real-world":[152],"science":[154],"applications.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}