{"id":"https://openalex.org/W7162443175","doi":"https://doi.org/10.1016/j.cam.2026.117807","title":"Matrix-Tree Theorems for complex unit gain networks","display_name":"Matrix-Tree Theorems for complex unit gain networks","publication_year":2026,"publication_date":"2026-05-26","ids":{"openalex":"https://openalex.org/W7162443175","doi":"https://doi.org/10.1016/j.cam.2026.117807"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2026.117807","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117807","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137019821","display_name":"Shu Li","orcid":null},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shu Li","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255049, China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137037849","display_name":"Jianfeng Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianfeng Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255049, China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137064939","display_name":"Matthias Dehmer","orcid":null},"institutions":[{"id":"https://openalex.org/I4210091108","display_name":"Health University of Applied Sciences Tyrol","ror":"https://ror.org/00b063968","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210091108"]},{"id":"https://openalex.org/I4210114246","display_name":"UMIT - Private Universit\u00e4t f\u00fcr Gesundheitswissenschaften, Medizinische Informatik und Technik","ror":"https://ror.org/02d0kps43","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210114246"]},{"id":"https://openalex.org/I4210116528","display_name":"Swiss Distance University of Applied Sciences","ror":"https://ror.org/01t75ff47","country_code":"CH","type":"education","lineage":["https://openalex.org/I4210116528"]}],"countries":["AT","CH"],"is_corresponding":false,"raw_author_name":"Matthias Dehmer","raw_affiliation_strings":["Department for Biomedical Computer Science and Mechatronics, The Tyrolean Private University UMIT TIROL, Eduard-Wallnofer-Zentrum 1, Hall in Tyrol, 6060, Tyrol, Austria","Department of Computer Science, Swiss Distance University of Applied Sciences, Brig, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department for Biomedical Computer Science and Mechatronics, The Tyrolean Private University UMIT TIROL, Eduard-Wallnofer-Zentrum 1, Hall in Tyrol, 6060, Tyrol, Austria","institution_ids":["https://openalex.org/I4210091108","https://openalex.org/I4210114246"]},{"raw_affiliation_string":"Department of Computer Science, Swiss Distance University of Applied Sciences, Brig, Switzerland","institution_ids":["https://openalex.org/I4210116528"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136993598","display_name":"Maurizio Brunetti","orcid":null},"institutions":[{"id":"https://openalex.org/I4210117450","display_name":"Federico II University Hospital","ror":"https://ror.org/02jr6tp70","country_code":"IT","type":"healthcare","lineage":["https://openalex.org/I4210117450","https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maurizio Brunetti","raw_affiliation_strings":["Department of Mathematics and Applications, University \u2019Federico II\u2019, Naples, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applications, University \u2019Federico II\u2019, Naples, Italy","institution_ids":["https://openalex.org/I4210117450"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5137077846","display_name":"Yuxia Li","orcid":null},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuxia Li","raw_affiliation_strings":["Institute of Modern Agricultural Equipment, Shandong University of Technology, Zibo, 255049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Modern Agricultural Equipment, Shandong University of Technology, Zibo, 255049, China","institution_ids":["https://openalex.org/I119203015"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5137037849"],"corresponding_institution_ids":["https://openalex.org/I119203015"],"apc_list":{"value":2870,"currency":"USD","value_usd":2870},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.64446105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"488","issue":null,"first_page":"117807","last_page":"117807"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.45590001344680786,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.45590001344680786,"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/T11476","display_name":"Graph theory and applications","score":0.06379999965429306,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.04399999976158142,"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/unit","display_name":"Unit (ring theory)","score":0.4307999908924103},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3303000032901764},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.30410000681877136},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.27730000019073486},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2752000093460083}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8514999747276306},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4307999908924103},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33640000224113464},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33250001072883606},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2709999978542328},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2612000107765198},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.25380000472068787},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2529999911785126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2515999972820282}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2026.117807","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117807","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1673729927","https://openalex.org/W1973151216","https://openalex.org/W2007901221","https://openalex.org/W2012722656","https://openalex.org/W2041328304","https://openalex.org/W2084884775","https://openalex.org/W2087720847","https://openalex.org/W2092153036","https://openalex.org/W2093091655","https://openalex.org/W2151718187","https://openalex.org/W2574711445","https://openalex.org/W2605402236","https://openalex.org/W2739914937","https://openalex.org/W2943547981","https://openalex.org/W2946725775","https://openalex.org/W2963391230","https://openalex.org/W2996914336","https://openalex.org/W3002840827","https://openalex.org/W3016164622","https://openalex.org/W3046185216","https://openalex.org/W3047300747","https://openalex.org/W3201309203","https://openalex.org/W3216407105","https://openalex.org/W4308065494","https://openalex.org/W4386246108","https://openalex.org/W4389506675","https://openalex.org/W4391138788"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-05-27T00:00:00"}