{"id":"https://openalex.org/W2127819793","doi":"https://doi.org/10.1109/sfcs.1994.365707","title":"A note on the \u03b8 number of Lovasz and the generalized Delsarte bound","display_name":"A note on the \u03b8 number of Lovasz and the generalized Delsarte bound","publication_year":2002,"publication_date":"2002-12-17","ids":{"openalex":"https://openalex.org/W2127819793","doi":"https://doi.org/10.1109/sfcs.1994.365707","mag":"2127819793"},"language":"en","primary_location":{"id":"doi:10.1109/sfcs.1994.365707","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sfcs.1994.365707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 35th Annual Symposium on Foundations of Computer Science","raw_type":"proceedings-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/A5113860564","display_name":"M\u00e1ri\u00f3 Szegedy","orcid":null},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]},{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. Szegedy","raw_affiliation_strings":["AT and T Bell Laboratories, Inc., USA","AT&T Bell Laboratories , USA"],"affiliations":[{"raw_affiliation_string":"AT and T Bell Laboratories, Inc., USA","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"AT&T Bell Laboratories , USA","institution_ids":["https://openalex.org/I72090969"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113860564"],"corresponding_institution_ids":["https://openalex.org/I1283103587","https://openalex.org/I72090969"],"apc_list":null,"apc_paid":null,"fwci":2.0326,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.87404356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"36","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9954000115394592,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9954000115394592,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9947999715805054,"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/T13991","display_name":"Nuclear Receptors and Signaling","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.796349048614502},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5542734861373901},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.4872569143772125},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.45945554971694946},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41460880637168884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40438729524612427},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.382158100605011},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18107149004936218},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07824370265007019}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.796349048614502},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5542734861373901},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.4872569143772125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45945554971694946},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41460880637168884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40438729524612427},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.382158100605011},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18107149004936218},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07824370265007019}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/sfcs.1994.365707","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sfcs.1994.365707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 35th Annual Symposium on Foundations of Computer Science","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4000000059604645,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1548134571","https://openalex.org/W2069816168","https://openalex.org/W2078289947","https://openalex.org/W2109084006","https://openalex.org/W2114189119","https://openalex.org/W2162018802","https://openalex.org/W2983923309","https://openalex.org/W4300645277"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4402427056","https://openalex.org/W238609530","https://openalex.org/W2734192830","https://openalex.org/W3016395638","https://openalex.org/W1636163329","https://openalex.org/W3045121788","https://openalex.org/W3201655533","https://openalex.org/W4226058339","https://openalex.org/W4221156915"],"abstract_inverted_index":{"The":[0,58],"/spl":[1,8,24,39,49,64,68,73,76,101,113,117,120,133,137,140,153,157,161,178,182,222,225,228],"theta/":[2],"number":[3,55],"of":[4,11,28,33,56,92,128,148,169,200],"Lovasz":[5],"and":[6,15,72,227],"the":[7,26,52,106,185,237],"theta//sub":[9,42,65,158,179],"1/2/":[10,180],"Schrijver,":[12],"McEliece,":[13],"Rodemich":[14],"Rumsey":[16],"are":[17,110],"convex":[18],"(semidefinite)":[19],"programming":[20],"upper":[21],"bounds":[22],"on":[23],"alpha/(G),":[25],"size":[27],"a":[29,90,126,146,167,196],"maximal":[30],"independent":[31],"set":[32],"G.":[34,57,83],"It":[35,173],"is":[36,51,174],"known":[37],"that":[38,62,105,177,221,234],"alpha/(G)/spl":[40],"les//spl":[41,44,46],"1/2/(G)/spl":[43],"theta/(G)/spl":[45],"chi/~(G),":[47,183],"where":[48],"chi/~(G)":[50,77,141,229],"clique":[53],"cover":[54],"above":[59],"inequalities":[60],"suggest":[61],"perhaps":[63],"1/2/(G)":[66,159],"approximates":[67,75,119,139,160,181,224],"alpha/(G)":[69,121,162,226],"from":[70,78,236],"above,":[71],"theta/(G)":[74,118,138,223],"below":[79],"for":[80,98,122,142,163,207,215,230],"every":[81,123,143,164],"graph":[82],"Can":[84],"this":[85,201],"approximation":[86],"be":[87],"to":[88,217],"within":[89,125,145,166],"factor":[91,127,147,168],"at":[93],"most":[94],"n/sup":[95,129,149,170],"1-/spl":[96],"epsiv//":[97,131,151,172],"some":[99,212],"fixed":[100],"epsiv/>0?":[102],"We":[103,193,209],"show,":[104],"following":[107],"three":[108],"conjectures":[109],"equivalent:":[111],"1.":[112],"exist//spl":[114,134,154],"epsiv/>0":[115,135,155],":":[116,136,156],"G":[124,144,165,233],"n-/spl":[130,150,171],"2.":[132],"3.":[152],"not":[175],"impossible":[176],"but":[184],"latter":[186],"conjecture":[187],"looks":[188],"strictly":[189],"stronger":[190],"than":[191],"1-3.":[192],"give":[194],"however":[195],"simple":[197],"combinatorial":[198],"reformulation":[199],"one":[202],"(we":[203],"cannot":[204],"find":[205],"such":[206],"1-3).":[208],"rule":[210],"out":[211],"likely":[213],"candidates":[214],"counterexamples":[216],"1-3":[218],"by":[219],"showing":[220],"those":[231],"graphs":[232],"come":[235],"Hamming":[238],"scheme.<":[239],"<ETX":[240],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[241],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">&gt;</ETX>":[242]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}