{"id":"https://openalex.org/W2977288278","doi":"https://doi.org/10.1016/j.laa.2021.10.023","title":"Incidence hypergraphs: Injectivity, uniformity, and matrix-tree theorems","display_name":"Incidence hypergraphs: Injectivity, uniformity, and matrix-tree theorems","publication_year":2021,"publication_date":"2021-11-03","ids":{"openalex":"https://openalex.org/W2977288278","doi":"https://doi.org/10.1016/j.laa.2021.10.023","mag":"2977288278"},"language":"en","primary_location":{"id":"doi:10.1016/j.laa.2021.10.023","doi":"https://doi.org/10.1016/j.laa.2021.10.023","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.laa.2021.10.023","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Linear Algebra and its Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.laa.2021.10.023","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039007343","display_name":"Will Grilliette","orcid":"https://orcid.org/0000-0003-0310-780X","observed_orcids":["https://orcid.org/0000-0003-0310-780X"]},"institutions":[{"id":"https://openalex.org/I13511017","display_name":"Texas State University","ror":"https://ror.org/05h9q1g27","country_code":"US","type":"education","lineage":["https://openalex.org/I13511017"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Will Grilliette","raw_affiliation_strings":["Department of Mathematics, Texas State University, San Marcos, TX 78666, USA"],"raw_orcid":"https://orcid.org/0000-0003-0310-780X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas State University, San Marcos, TX 78666, USA","institution_ids":["https://openalex.org/I13511017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028062710","display_name":"Josephine Reynes","orcid":"https://orcid.org/0000-0002-3862-9176","observed_orcids":["https://orcid.org/0000-0002-3862-9176"]},"institutions":[{"id":"https://openalex.org/I13511017","display_name":"Texas State University","ror":"https://ror.org/05h9q1g27","country_code":"US","type":"education","lineage":["https://openalex.org/I13511017"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Josephine Reynes","raw_affiliation_strings":["Combinatorics and Optimization, University of Waterloo, Waterloo ON, N2L 3G1, Canada","Department of Mathematics, Texas State University, San Marcos, TX 78666, USA"],"raw_orcid":"https://orcid.org/0000-0002-3862-9176","affiliations":[{"raw_affiliation_string":"Combinatorics and Optimization, University of Waterloo, Waterloo ON, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Mathematics, Texas State University, San Marcos, TX 78666, USA","institution_ids":["https://openalex.org/I13511017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085185758","display_name":"Lucas J. Rusnak","orcid":"https://orcid.org/0000-0001-5844-848X","observed_orcids":["https://orcid.org/0000-0001-5844-848X"]},"institutions":[{"id":"https://openalex.org/I13511017","display_name":"Texas State University","ror":"https://ror.org/05h9q1g27","country_code":"US","type":"education","lineage":["https://openalex.org/I13511017"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lucas J. Rusnak","raw_affiliation_strings":["Department of Mathematics, Texas State University, San Marcos, TX 78666, USA","Texas State University,"],"raw_orcid":"https://orcid.org/0000-0001-5844-848X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas State University, San Marcos, TX 78666, USA","institution_ids":["https://openalex.org/I13511017"]},{"raw_affiliation_string":"Texas State University,","institution_ids":["https://openalex.org/I13511017"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085185758"],"corresponding_institution_ids":["https://openalex.org/I13511017"],"apc_list":{"value":2590,"currency":"USD","value_usd":2590},"apc_paid":null,"fwci":3.2861,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.93256794,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"634","issue":null,"first_page":"77","last_page":"105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.8784000277519226,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.8784000277519226,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.05730000138282776,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.026000000536441803,"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/injective-envelope","display_name":"injective envelope","score":0.9150000214576721},{"id":"https://openalex.org/keywords/subobject-classifier","display_name":"subobject classifier","score":0.8799999952316284},{"id":"https://openalex.org/keywords/uniform-hypergraphs","display_name":"uniform hypergraphs","score":0.878000020980835},{"id":"https://openalex.org/keywords/incidence-matrix","display_name":"incidence matrix","score":0.7730000019073486},{"id":"https://openalex.org/keywords/matrix-tree-theorem","display_name":"matrix-tree theorem","score":0.734000027179718},{"id":"https://openalex.org/keywords/permanent","display_name":"permanent","score":0.8519999980926514},{"id":"https://openalex.org/keywords/determinants","display_name":"determinants","score":0.7269999980926514},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"adjacency matrix","score":0.6830000281333923},{"id":"https://openalex.org/keywords/bidirected-graphs","display_name":"bidirected graphs","score":0.9139999747276306}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7914650440216064},{"id":"https://openalex.org/C85136909","wikidata":"https://www.wikidata.org/wiki/Q939272","display_name":"Incidence matrix","level":3,"score":0.6586461067199707},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6155675649642944},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5170803070068359},{"id":"https://openalex.org/C42321380","wikidata":"https://www.wikidata.org/wiki/Q849705","display_name":"Characteristic polynomial","level":3,"score":0.5032004714012146},{"id":"https://openalex.org/C61511704","wikidata":"https://www.wikidata.org/wiki/Q1671857","display_name":"Incidence (geometry)","level":2,"score":0.4902265667915344},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.4826813042163849},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.45770737528800964},{"id":"https://openalex.org/C62555958","wikidata":"https://www.wikidata.org/wiki/Q6042601","display_name":"Integer matrix","level":5,"score":0.4290744662284851},{"id":"https://openalex.org/C14447369","wikidata":"https://www.wikidata.org/wiki/Q7857002","display_name":"Tutte polynomial","level":5,"score":0.41032058000564575},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.3445954918861389},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3228530287742615},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.258310467004776},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.18543225526809692},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.16836926341056824},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.15477457642555237},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.09602820873260498},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.laa.2021.10.023","doi":"https://doi.org/10.1016/j.laa.2021.10.023","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.laa.2021.10.023","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Linear Algebra and its Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1910.02305","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.02305","pdf_url":"https://arxiv.org/pdf/1910.02305","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2977288278","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1910.02305.pdf","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1910.02305","doi":"https://doi.org/10.48550/arxiv.1910.02305","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.02305","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,"listed_in":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1016/j.laa.2021.10.023","doi":"https://doi.org/10.1016/j.laa.2021.10.023","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.laa.2021.10.023","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Linear Algebra and its Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2977288278.pdf","grobid_xml":"https://content.openalex.org/works/W2977288278.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W36355091","https://openalex.org/W285505745","https://openalex.org/W655258421","https://openalex.org/W1483788020","https://openalex.org/W1534018603","https://openalex.org/W1546382158","https://openalex.org/W1556771345","https://openalex.org/W1580467367","https://openalex.org/W1589331344","https://openalex.org/W1594900487","https://openalex.org/W1790768062","https://openalex.org/W1980769375","https://openalex.org/W1981244742","https://openalex.org/W1995303433","https://openalex.org/W2028713441","https://openalex.org/W2041328304","https://openalex.org/W2043790108","https://openalex.org/W2045853915","https://openalex.org/W2083759184","https://openalex.org/W2087720847","https://openalex.org/W2094200485","https://openalex.org/W2095985933","https://openalex.org/W2224383296","https://openalex.org/W2250379861","https://openalex.org/W2318857129","https://openalex.org/W2493333586","https://openalex.org/W2605550497","https://openalex.org/W2605928490","https://openalex.org/W2756395065","https://openalex.org/W2799004609","https://openalex.org/W2804079210","https://openalex.org/W2913095643","https://openalex.org/W2944165815","https://openalex.org/W3034528871","https://openalex.org/W4210751359","https://openalex.org/W4239788839","https://openalex.org/W4300915415","https://openalex.org/W6638708274","https://openalex.org/W6836982560"],"related_works":["https://openalex.org/W2605550497","https://openalex.org/W2094200485","https://openalex.org/W4415111291","https://openalex.org/W2224383296","https://openalex.org/W2756395065","https://openalex.org/W285505745","https://openalex.org/W7097948210","https://openalex.org/W3025450778","https://openalex.org/W2617293591","https://openalex.org/W3048299455"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":6}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2019-10-10T00:00:00"}