{"id":"https://openalex.org/W2885907809","doi":"https://doi.org/10.1109/isit.2018.8437309","title":"LP relaxations and Fuglede's conjecture","display_name":"LP relaxations and Fuglede's conjecture","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2885907809","doi":"https://doi.org/10.1109/isit.2018.8437309","mag":"2885907809"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2018.8437309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437309","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5071798008","display_name":"Aditya Siripuram","orcid":"https://orcid.org/0000-0002-8210-7113"},"institutions":[{"id":"https://openalex.org/I65181880","display_name":"Indian Institute of Technology Hyderabad","ror":"https://ror.org/01j4v3x97","country_code":"IN","type":"education","lineage":["https://openalex.org/I65181880"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Aditya Siripuram","raw_affiliation_strings":["IIT Hyderabad"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIT Hyderabad","institution_ids":["https://openalex.org/I65181880"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081621247","display_name":"Brad Osgood","orcid":"https://orcid.org/0000-0001-9186-0732"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brad Osgood","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5349,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.89162844,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"10","issue":null,"first_page":"2525","last_page":"2529"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8003138303756714},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.7251045107841492},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6309512257575989},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5628765821456909},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5305160880088806},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5059837698936462},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4798935651779175},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.4364981949329376},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43090516328811646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3904726505279541},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30975645780563354}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8003138303756714},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.7251045107841492},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6309512257575989},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5628765821456909},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5305160880088806},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5059837698936462},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4798935651779175},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.4364981949329376},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43090516328811646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3904726505279541},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30975645780563354},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2018.8437309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437309","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:raiith.iith.ac.in:6912","is_oa":false,"landing_page_url":"http://raiith.iith.ac.in/6912/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400292","display_name":"Research Archive of Indian Institute of Technology Hyderabad (Indian Institute of Technology Hyderabad)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I65181880","host_organization_name":"Indian Institute of Technology Hyderabad","host_organization_lineage":["https://openalex.org/I65181880"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W606453859","https://openalex.org/W1524446580","https://openalex.org/W1536906089","https://openalex.org/W1604193998","https://openalex.org/W1677183711","https://openalex.org/W2009600348","https://openalex.org/W2027360963","https://openalex.org/W2038182478","https://openalex.org/W2063753890","https://openalex.org/W2078289947","https://openalex.org/W2081826993","https://openalex.org/W2114189119","https://openalex.org/W2145073008","https://openalex.org/W2160900467","https://openalex.org/W2516153412","https://openalex.org/W3102943387","https://openalex.org/W3103870832","https://openalex.org/W3105329345","https://openalex.org/W3122060294","https://openalex.org/W4206148326","https://openalex.org/W6604469142","https://openalex.org/W6618503222"],"related_works":["https://openalex.org/W4281971614","https://openalex.org/W2390933768","https://openalex.org/W1970313336","https://openalex.org/W4388175706","https://openalex.org/W2467236363","https://openalex.org/W3170865983","https://openalex.org/W2356126862","https://openalex.org/W2112928736","https://openalex.org/W4301927665","https://openalex.org/W3002556790"],"abstract_inverted_index":{"Consider":[0],"a":[1,29,40],"unitary":[2],"(up":[3],"to":[4,61],"scaling)":[5],"submatrix":[6],"of":[7],"the":[8,22,34,54],"Fourier":[9],"matrix":[10],"with":[11],"rows":[12],"indexed":[13,18],"by":[14,19],"I":[15,38],"and":[16,66],"columns":[17],"J.":[20],"From":[21],"column":[23],"index":[24,36],"set":[25,37],"J":[26],"we":[27],"construct":[28],"graph":[30],"G":[31,43],"so":[32],"that":[33],"row":[35],"determines":[39],"max-clique.":[41],"Interpreting":[42],"as":[44],"coming":[45],"from":[46],"an":[47],"association":[48],"scheme":[49],"gives":[50],"certain":[51],"bounds":[52],"on":[53,64],"clique":[55],"number,":[56],"which":[57],"has":[58],"possible":[59],"applications":[60],"Fuglede's":[62],"conjecture":[63],"spectral":[65],"tiling":[67],"sets.":[68]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}