{"id":"https://openalex.org/W3150535993","doi":"https://doi.org/10.37236/10350","title":"Extremal Graphs for a Spectral Inequality on Edge-Disjoint Spanning Trees","display_name":"Extremal Graphs for a Spectral Inequality on Edge-Disjoint Spanning Trees","publication_year":2022,"publication_date":"2022-06-16","ids":{"openalex":"https://openalex.org/W3150535993","doi":"https://doi.org/10.37236/10350","mag":"3150535993"},"language":"en","primary_location":{"id":"doi:10.37236/10350","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10350","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i2p56/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i2p56/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002085058","display_name":"Sebastian M. Cioab\u0103","orcid":"https://orcid.org/0000-0001-9983-0212"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sebastian M. Cioab\u0103","raw_affiliation_strings":["University of Delaware"],"affiliations":[{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000208053","display_name":"Anthony Ostuni","orcid":"https://orcid.org/0000-0002-8530-6476"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anthony Ostuni","raw_affiliation_strings":["University of Maryland, College Park"],"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080075317","display_name":"Davin Park","orcid":"https://orcid.org/0000-0001-9847-1369"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Davin Park","raw_affiliation_strings":["University of Maryland, College Park"],"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081828370","display_name":"Sriya Potluri","orcid":"https://orcid.org/0000-0002-2138-6489"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sriya Potluri","raw_affiliation_strings":["University of Maryland, College Park"],"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045285287","display_name":"Tanay Wakhare","orcid":"https://orcid.org/0000-0003-2397-4185"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tanay Wakhare","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, MIT"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, MIT","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088937504","display_name":"Wiseley Wong","orcid":"https://orcid.org/0000-0002-2255-4448"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wiseley Wong","raw_affiliation_strings":["University of Maryland, College Park"],"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5002085058"],"corresponding_institution_ids":["https://openalex.org/I86501945"],"apc_list":null,"apc_paid":null,"fwci":1.6074,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80012655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"29","issue":"2","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":0.9998000264167786,"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":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9944999814033508,"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/T10083","display_name":"Graphene research and applications","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8972920179367065},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8680834174156189},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6490545868873596},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.600468635559082},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5946625471115112},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5151451826095581},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.43038347363471985},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3887249827384949}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8972920179367065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8680834174156189},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6490545868873596},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.600468635559082},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5946625471115112},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5151451826095581},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.43038347363471985},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3887249827384949},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/10350","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10350","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i2p56/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/10350","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10350","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i2p56/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G3570350311","display_name":null,"funder_award_id":"CIF-1815922","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5635581690","display_name":null,"funder_award_id":"CIF-181592","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G568667519","display_name":"The Interplay between Spectral and Combinatorial Properties of Graphs and Association Schemes","funder_award_id":"1600768","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7270993960","display_name":null,"funder_award_id":"DMS-1600768","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8963788510","display_name":"Analytic and Geometric Inverse Problems and Related Topics","funder_award_id":"1815922","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3150535993.pdf","grobid_xml":"https://content.openalex.org/works/W3150535993.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1521019410","https://openalex.org/W1964537835","https://openalex.org/W1969341248","https://openalex.org/W1973091456","https://openalex.org/W2029673229","https://openalex.org/W2039794704","https://openalex.org/W2042706982","https://openalex.org/W2058858486","https://openalex.org/W2079208696","https://openalex.org/W2088062469","https://openalex.org/W2098108980","https://openalex.org/W2115683609","https://openalex.org/W2133339613","https://openalex.org/W2153988305","https://openalex.org/W2200264387","https://openalex.org/W2261554113","https://openalex.org/W2315120586","https://openalex.org/W2470839248","https://openalex.org/W2521125782","https://openalex.org/W2770909773","https://openalex.org/W2801179766","https://openalex.org/W2962940504","https://openalex.org/W3001144994","https://openalex.org/W3186876840","https://openalex.org/W4234768738","https://openalex.org/W4237949745","https://openalex.org/W4285719527","https://openalex.org/W4300223101","https://openalex.org/W6669839378","https://openalex.org/W6677256848"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W2951695430","https://openalex.org/W4256429076","https://openalex.org/W2012063272","https://openalex.org/W4300891849","https://openalex.org/W2318687609","https://openalex.org/W2348092930","https://openalex.org/W2806574890","https://openalex.org/W2499670206"],"abstract_inverted_index":{"Liu,":[0],"Hong,":[1],"Gu,":[2],"and":[3,50,80,99],"Lai":[4],"proved":[5],"if":[6],"the":[7,12,58],"second":[8],"largest":[9],"eigenvalue":[10],"of":[11,15,45],"adjacency":[13],"matrix":[14],"graph":[16,94],"$G$":[17,33],"with":[18,73],"minimum":[19],"degree":[20],"$\\delta":[21],"\\ge":[22,24,69,71],"2m+2":[23,70],"4$":[25,72],"satisfies":[26],"$\\lambda_2(G)":[27],"<":[28,82],"\\delta":[29],"-":[30],"\\frac{2m+1}{\\delta+1}$,":[31],"then":[32],"contains":[34],"at":[35,74],"least":[36],"$m+1$":[37],"edge-disjoint":[38,77],"spanning":[39,78],"trees,":[40],"which":[41],"verified":[42],"a":[43,46,85,90],"generalization":[44],"conjecture":[47],"by":[48,61,96],"Cioab\u0103":[49],"Wong.":[51],"We":[52],"show":[53,88],"this":[54],"bound":[55],"is":[56,101],"essentially":[57,102],"best":[59],"possible":[60],"constructing":[62],"$d$-regular":[63],"graphs":[64],"$\\mathcal{G}_{m,d}$":[65],"for":[66],"all":[67],"$d":[68],"most":[75],"$m$":[76],"trees":[79],"$\\lambda_2(\\mathcal{G}_{m,d})":[81],"d-\\frac{2m+1}{d+3}$.":[83],"As":[84],"corollary,":[86],"we":[87],"that":[89],"spectral":[91],"inequality":[92],"on":[93],"rigidity":[95],"Cioab\u0103,":[97],"Dewar,":[98],"Gu":[100],"tight.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}