{"id":"https://openalex.org/W7162397608","doi":"https://doi.org/10.1016/j.ins.2026.123679","title":"Graph/Network reduction based on communicability vertex similarity. A heuristic approach","display_name":"Graph/Network reduction based on communicability vertex similarity. A heuristic approach","publication_year":2026,"publication_date":"2026-05-26","ids":{"openalex":"https://openalex.org/W7162397608","doi":"https://doi.org/10.1016/j.ins.2026.123679"},"language":"en","primary_location":{"id":"doi:10.1016/j.ins.2026.123679","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ins.2026.123679","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"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":"Information Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ins.2026.123679","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137000330","display_name":"Darian H. Grass-Boada","orcid":null},"institutions":[{"id":"https://openalex.org/I88155538","display_name":"Universidad de Navarra","ror":"https://ror.org/02rxc7m23","country_code":"ES","type":"education","lineage":["https://openalex.org/I88155538"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Darian H. Grass-Boada","raw_affiliation_strings":["Institute for Data Science and Artificial Intelligence (DATAI), University of Navarra, Pamplona, Navarra, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9865-1615","affiliations":[{"raw_affiliation_string":"Institute for Data Science and Artificial Intelligence (DATAI), University of Navarra, Pamplona, Navarra, Spain","institution_ids":["https://openalex.org/I88155538"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119768116","display_name":"Rodrigo de la Nuez","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rodrigo de la Nuez","raw_affiliation_strings":["Independent Researcher, Madrid, Spain"],"raw_orcid":"https://orcid.org/0009-0004-2529-3337","affiliations":[{"raw_affiliation_string":"Independent Researcher, Madrid, Spain","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5137019273","display_name":"Ernesto Estrada","orcid":"https://orcid.org/0000-0002-3066-7418"},"institutions":[{"id":"https://openalex.org/I4210095952","display_name":"Institute for Cross-Disciplinary Physics and Complex Systems","ror":"https://ror.org/00pfxsh56","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210095952","https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Ernesto Estrada","raw_affiliation_strings":["Institute for Cross-Disciplinary Physics and Complex Systems (IFISC), CSIC-UIB, Palma de Mallorca, Balearic Islands, Spain"],"raw_orcid":"https://orcid.org/0000-0002-3066-7418","affiliations":[{"raw_affiliation_string":"Institute for Cross-Disciplinary Physics and Complex Systems (IFISC), CSIC-UIB, Palma de Mallorca, Balearic Islands, Spain","institution_ids":["https://openalex.org/I4210095952"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5137019273"],"corresponding_institution_ids":["https://openalex.org/I4210095952"],"apc_list":{"value":3330,"currency":"USD","value_usd":3330},"apc_paid":{"value":3330,"currency":"USD","value_usd":3330},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.92289941,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"754","issue":null,"first_page":"123679","last_page":"123679"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9264000058174133,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9264000058174133,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.04170000180602074,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.007799999788403511,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.7059000134468079},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.6015999913215637},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5443999767303467},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5386999845504761},{"id":"https://openalex.org/keywords/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.5116999745368958},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5076000094413757},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.47429999709129333},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.4675999879837036}],"concepts":[{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.7059000134468079},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.6015999913215637},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5443999767303467},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5386999845504761},{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.5116999745368958},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5076000094413757},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.47429999709129333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4740000069141388},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.4675999879837036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43709999322891235},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4302999973297119},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.41659998893737793},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40119999647140503},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3880000114440918},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.3659999966621399},{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.3562999963760376},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.35280001163482666},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C2985906921","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Spectral properties","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C97042676","wikidata":"https://www.wikidata.org/wiki/Q5597097","display_name":"Graph reduction","level":3,"score":0.27219998836517334},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.25780001282691956},{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ins.2026.123679","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ins.2026.123679","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"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":"Information Sciences","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.ins.2026.123679","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ins.2026.123679","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"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":"Information Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.7985104918479919,"display_name":"Good health and well-being"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W261461018","https://openalex.org/W1587744656","https://openalex.org/W1866618235","https://openalex.org/W1968327293","https://openalex.org/W1970754929","https://openalex.org/W1973353128","https://openalex.org/W1980431326","https://openalex.org/W1985667828","https://openalex.org/W1995876521","https://openalex.org/W1997315949","https://openalex.org/W2017987256","https://openalex.org/W2055846164","https://openalex.org/W2057444879","https://openalex.org/W2070448527","https://openalex.org/W2089125183","https://openalex.org/W2090372231","https://openalex.org/W2092040152","https://openalex.org/W2106565812","https://openalex.org/W2126498993","https://openalex.org/W2127048411","https://openalex.org/W2129575457","https://openalex.org/W2146530408","https://openalex.org/W2148606196","https://openalex.org/W2151936673","https://openalex.org/W2166085889","https://openalex.org/W2169871260","https://openalex.org/W2514684750","https://openalex.org/W2566971417","https://openalex.org/W2584686170","https://openalex.org/W2894212516","https://openalex.org/W2907492528","https://openalex.org/W2962910558","https://openalex.org/W4384028920","https://openalex.org/W4390691173","https://openalex.org/W4392553889","https://openalex.org/W4404625678","https://openalex.org/W4405850302"],"related_works":[],"abstract_inverted_index":{"Reducing":[0],"the":[1,8,66,69,73,77,83,110,128,159,177],"size":[2],"of":[3,38,76,90,179],"large":[4],"graphs":[5],"while":[6,121],"preserving":[7],"mechanisms":[9],"that":[10,55,109,162],"governing":[11],"their":[12,147,156],"dynamics":[13],"remains":[14],"a":[15,26,87,167],"central":[16],"challenge":[17],"in":[18,35,116,127],"network":[19],"science.":[20],"In":[21],"this":[22],"work,":[23],"we":[24,135],"introduce":[25],"graph":[27,174],"reduction":[28,100,175],"framework":[29],"based":[30],"on":[31],"communicability-driven":[32],"vertex":[33,164],"similarity,":[34],"which":[36],"pairs":[37],"structurally":[39],"and":[40,62,72,93,119,137,150,169],"dynamically":[41],"equivalent":[42],"vertices":[43,118],"are":[44],"iteratively":[45],"merged.":[46],"The":[47],"method":[48,111],"is":[49,183],"designed":[50],"to":[51,154],"retain":[52],"spectral":[53,74,130],"quantities":[54],"act":[56],"as":[57],"proxies":[58],"for":[59,172],"diffusion,":[60],"synchronization,":[61],"epidemic":[63],"spreading,":[64],"namely":[65],"algebraic":[67],"connectivity,":[68],"Laplacian":[70],"eigenratio,":[71],"radius":[75],"adjacency":[78],"matrix.":[79],"We":[80],"systematically":[81],"evaluate":[82],"proposed":[84],"approach":[85],"across":[86],"diverse":[88],"collection":[89],"real-world":[91],"networks":[92],"benchmark":[94],"it":[95],"against":[96],"seven":[97],"representative":[98],"state-of-the-art":[99],"techniques":[101],"spanning":[102],"different":[103],"algorithmic":[104],"paradigms.":[105],"Our":[106],"results":[107,160],"show":[108],"enables":[112],"substantially":[113],"larger":[114],"reductions":[115],"both":[117],"edges":[120],"maintaining":[122],"comparable":[123],"or":[124],"superior":[125],"fidelity":[126],"targeted":[129],"properties.":[131],"Beyond":[132],"average-case":[133],"performance,":[134],"identify":[136],"analyze":[138],"pathological":[139],"scenarios":[140],"associated":[141],"with":[142],"extreme":[143],"bottleneck":[144],"structures,":[145],"clarify":[146],"structural":[148],"origin,":[149],"propose":[151],"practical":[152],"strategies":[153],"mitigate":[155],"impact.":[157],"Overall,":[158],"demonstrate":[161],"communicability-based":[163],"merging":[165],"provides":[166],"robust":[168],"flexible":[170],"tool":[171],"aggressive":[173],"when":[176],"preservation":[178],"key":[180],"dynamical":[181],"signatures":[182],"required.":[184]},"counts_by_year":[],"updated_date":"2026-05-30T06:14:24.967023","created_date":"2026-05-27T00:00:00"}