{"id":"https://openalex.org/W3172437222","doi":"https://doi.org/10.1145/3406325.3451061","title":"Towards tight bounds for spectral sparsification of hypergraphs","display_name":"Towards tight bounds for spectral sparsification of hypergraphs","publication_year":2021,"publication_date":"2021-06-15","ids":{"openalex":"https://openalex.org/W3172437222","doi":"https://doi.org/10.1145/3406325.3451061","mag":"3172437222"},"language":"en","primary_location":{"id":"doi:10.1145/3406325.3451061","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451061","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/295304","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086773451","display_name":"Michael Kapralov","orcid":"https://orcid.org/0009-0006-2882-0459"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Michael Kapralov","raw_affiliation_strings":["EPFL, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037378898","display_name":"Robert Krauthgamer","orcid":"https://orcid.org/0009-0003-8154-3735"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Robert Krauthgamer","raw_affiliation_strings":["Weizmann Institute of Science, Israel"],"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science, Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043037436","display_name":"Jakab Tardos","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jakab Tardos","raw_affiliation_strings":["EPFL, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038701345","display_name":"Yuichi Yoshida","orcid":"https://orcid.org/0000-0001-8919-8479"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuichi Yoshida","raw_affiliation_strings":["National Institute of Informatics, Japan"],"affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Japan","institution_ids":["https://openalex.org/I184597095"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5086773451"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":1.9236,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87698682,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"598","last_page":"611"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.998199999332428,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9940000176429749,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.918273389339447},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5107202529907227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48400136828422546},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4821993410587311},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41677162051200867},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41113466024398804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4014820158481598}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.918273389339447},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5107202529907227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48400136828422546},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4821993410587311},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41677162051200867},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41113466024398804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4014820158481598},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3406325.3451061","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451061","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:295304","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/295304","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:295304","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/295304","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"conference proceedings"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1114554540","display_name":null,"funder_award_id":"1086/18","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G7536060703","display_name":null,"funder_award_id":"759471).","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1543491698","https://openalex.org/W1631603072","https://openalex.org/W1978676170","https://openalex.org/W1983193888","https://openalex.org/W1993111701","https://openalex.org/W1998058722","https://openalex.org/W2012184117","https://openalex.org/W2019404063","https://openalex.org/W2038521541","https://openalex.org/W2041674806","https://openalex.org/W2047184404","https://openalex.org/W2083786039","https://openalex.org/W2110868467","https://openalex.org/W2128700566","https://openalex.org/W2129575457","https://openalex.org/W2134062801","https://openalex.org/W2176494464","https://openalex.org/W2294712402","https://openalex.org/W2560674852","https://openalex.org/W2753289174","https://openalex.org/W2780845556","https://openalex.org/W2884840075","https://openalex.org/W2899963518","https://openalex.org/W2902172596","https://openalex.org/W2904221310","https://openalex.org/W2951153688","https://openalex.org/W2963055664","https://openalex.org/W2971784390","https://openalex.org/W3035518758","https://openalex.org/W3081374773","https://openalex.org/W3093516620","https://openalex.org/W3128004196","https://openalex.org/W4206039841","https://openalex.org/W4231490457"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4376608589","https://openalex.org/W1537073411","https://openalex.org/W3138003926","https://openalex.org/W1630514295","https://openalex.org/W4300037846","https://openalex.org/W4288275998","https://openalex.org/W3094179932","https://openalex.org/W3005801850","https://openalex.org/W2950595062"],"abstract_inverted_index":{"Cut":[0],"and":[1,16,32],"spectral":[2],"sparsification":[3],"of":[4,44],"graphs":[5],"have":[6,22],"numerous":[7],"applications,":[8],"including":[9],"e.g.":[10],"speeding":[11],"up":[12],"algorithms":[13],"for":[14,55],"cuts":[15],"Laplacian":[17],"solvers.":[18],"These":[19],"powerful":[20],"notions":[21],"recently":[23],"been":[24],"extended":[25],"to":[26],"hypergraphs,":[27],"which":[28],"are":[29,47],"much":[30],"richer":[31],"may":[33],"offer":[34],"new":[35],"applications.":[36],"However,":[37],"the":[38,42,52],"current":[39],"bounds":[40,54],"on":[41],"size":[43],"hypergraph":[45],"sparsifiers":[46],"not":[48],"as":[49,51],"tight":[50],"corresponding":[53],"graphs.":[56]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}