{"id":"https://openalex.org/W2105425523","doi":"https://doi.org/10.1109/isit.2010.5513495","title":"Typicality graphs and their properties","display_name":"Typicality graphs and their properties","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2105425523","doi":"https://doi.org/10.1109/isit.2010.5513495","mag":"2105425523"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","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/A5107862866","display_name":"Ali Nazari","orcid":"https://orcid.org/0009-0006-4827-802X"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ali Nazari","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, USA","Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061944195","display_name":"Dinesh Krithivasan","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dinesh Krithivasan","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, USA","Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012221966","display_name":"S. Sandeep Pradhan","orcid":"https://orcid.org/0000-0001-8406-4404"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Sandeep Pradhan","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, USA","Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021002637","display_name":"Achilleas Anastasopoulos","orcid":"https://orcid.org/0000-0003-3795-1654"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Achilleas Anastasopoulos","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, USA","Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081409970","display_name":"Ramji Venkataramanan","orcid":"https://orcid.org/0000-0001-7915-5432"},"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":"Ramji Venkataramanan","raw_affiliation_strings":["Department of Electrical Engineering, University of Stanford, USA","[Department of Electrical Engineering Stanford University, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Stanford, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"[Department of Electrical Engineering Stanford University, USA]","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5107862866"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":0.2939,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65426681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"520","last_page":"524"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9970999956130981,"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/bipartite-graph","display_name":"Bipartite graph","score":0.7087820172309875},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4717845618724823},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4604739248752594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43610507249832153},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35817965865135193},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3345962464809418},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32259058952331543},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2823150157928467}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7087820172309875},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4717845618724823},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4604739248752594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43610507249832153},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35817965865135193},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3345962464809418},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32259058952331543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2823150157928467}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2010.5513495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:generic.eprints.org:528979","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/528979/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[{"score":0.7900000214576721,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W178099325","https://openalex.org/W1549664537","https://openalex.org/W1971079746","https://openalex.org/W2017970192","https://openalex.org/W2068871408","https://openalex.org/W2100058520","https://openalex.org/W2105425523","https://openalex.org/W2105781669","https://openalex.org/W2143652864","https://openalex.org/W2145903892","https://openalex.org/W2149306165","https://openalex.org/W2951349773","https://openalex.org/W6607267289","https://openalex.org/W6633073622","https://openalex.org/W6675028125","https://openalex.org/W6723629830"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2372768926","https://openalex.org/W3085245180","https://openalex.org/W2586280130","https://openalex.org/W4221143622","https://openalex.org/W1981723335","https://openalex.org/W2089088747"],"abstract_inverted_index":{"Let":[0],"X":[1],"and":[2,7,22,44,80],"Y":[3],"be":[4,60],"finite":[5],"alphabets":[6],"P":[8,18,23,55],"<sub":[9,19,24,56],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,20,25,42,47,57],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">XY</sub>":[11,58],"a":[12,63,68,73,77],"joint":[13],"distribution":[14],"over":[15],"them,":[16],"with":[17],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">X</sub>":[21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Y</sub>":[26],"representing":[27],"the":[28,35,90],"marginals.":[29],"For":[30],"any":[31],"\u03f5":[32],">":[33],"0,":[34],"set":[36],"of":[37,71,83,92],"n-length":[38],"sequences":[39],"x":[40],"<sup":[41,46],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[43,48],"y":[45],"that":[49],"are":[50],"jointly":[51],"typical":[52],"according":[53],"to":[54],"can":[59],"represented":[61],"on":[62],"bipartite":[64],"graph.":[65],"We":[66],"present":[67],"formal":[69],"definition":[70],"such":[72],"graph,":[74,79],"known":[75],"as":[76],"typicality":[78],"study":[81,91],"some":[82],"its":[84],"properties.":[85],"These":[86],"properties":[87],"arise":[88],"in":[89],"several":[93],"multiuser":[94],"communication":[95],"problems.":[96]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}