{"id":"https://openalex.org/W2132561826","doi":"https://doi.org/10.1109/tit.2009.2018182","title":"On Complementary Graph Entropy","display_name":"On Complementary Graph Entropy","publication_year":2009,"publication_date":"2009-05-19","ids":{"openalex":"https://openalex.org/W2132561826","doi":"https://doi.org/10.1109/tit.2009.2018182","mag":"2132561826"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2009.2018182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2018182","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5076381426","display_name":"Ertem Tuncel","orcid":"https://orcid.org/0000-0001-9002-7562"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ertem Tuncel","raw_affiliation_strings":["Department of Electrical Engineering, University of California, Riverside, CA, USA","[Dept. of Electr. Eng., Univ. of California, Riverside, CA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California, Riverside, CA, USA","institution_ids":["https://openalex.org/I103635307"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Univ. of California, Riverside, CA]","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113872036","display_name":"Jayanth Nayak","orcid":null},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jayanth Nayak","raw_affiliation_strings":["Department of Electrical Engineering, University of California, Riverside, USA","[Dept. of Electr. Eng., Univ. of California, Riverside, CA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California, Riverside, USA","institution_ids":["https://openalex.org/I103635307"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Univ. of California, Riverside, CA]","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046237305","display_name":"Prashant Koulgi","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Prashant Koulgi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","Dept. of Electr. & Comput. Eng., Univ. of California, Santa Barbara, CA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of California, Santa Barbara, CA#TAB#","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026459097","display_name":"Kenneth Rose","orcid":"https://orcid.org/0000-0001-9463-2647"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]},{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth Rose","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","[Dept. of Electr. Eng., Univ. of California, Riverside, CA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Univ. of California, Riverside, CA]","institution_ids":["https://openalex.org/I103635307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.15143964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"55","issue":"6","first_page":"2537","last_page":"2546"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","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/entropy","display_name":"Entropy (arrow of time)","score":0.5199159979820251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4900130331516266},{"id":"https://openalex.org/keywords/entropy-encoding","display_name":"Entropy encoding","score":0.4756602644920349},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.45764797925949097},{"id":"https://openalex.org/keywords/subadditivity","display_name":"Subadditivity","score":0.45236796140670776},{"id":"https://openalex.org/keywords/variable-length-code","display_name":"Variable-length code","score":0.42921698093414307},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4129839241504669},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3659166097640991},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3567602038383484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35268715023994446},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.33712488412857056},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.2085430920124054},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.2083931267261505},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1668126881122589},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08302012085914612}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5199159979820251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4900130331516266},{"id":"https://openalex.org/C1769480","wikidata":"https://www.wikidata.org/wiki/Q1345239","display_name":"Entropy encoding","level":3,"score":0.4756602644920349},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.45764797925949097},{"id":"https://openalex.org/C19220575","wikidata":"https://www.wikidata.org/wiki/Q1934099","display_name":"Subadditivity","level":2,"score":0.45236796140670776},{"id":"https://openalex.org/C60603091","wikidata":"https://www.wikidata.org/wiki/Q2981616","display_name":"Variable-length code","level":3,"score":0.42921698093414307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4129839241504669},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3659166097640991},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3567602038383484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35268715023994446},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.33712488412857056},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.2085430920124054},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.2083931267261505},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1668126881122589},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08302012085914612},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2009.2018182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2018182","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.332.1126","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.1126","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scl.ece.ucsb.edu/pubs/pubs_D/d09_5.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W86626612","https://openalex.org/W91927153","https://openalex.org/W1517835148","https://openalex.org/W1530753374","https://openalex.org/W1549664537","https://openalex.org/W1963893227","https://openalex.org/W1971612822","https://openalex.org/W1977529491","https://openalex.org/W1997998268","https://openalex.org/W1998992478","https://openalex.org/W2071801393","https://openalex.org/W2074450708","https://openalex.org/W2078289947","https://openalex.org/W2098632144","https://openalex.org/W2099213070","https://openalex.org/W2119336214","https://openalex.org/W2127015626","https://openalex.org/W2136041786","https://openalex.org/W2138522979","https://openalex.org/W2146778221","https://openalex.org/W2157606808","https://openalex.org/W2164684058","https://openalex.org/W2565824138"],"related_works":["https://openalex.org/W2162781804","https://openalex.org/W2156106714","https://openalex.org/W1587903609","https://openalex.org/W2045024766","https://openalex.org/W2479819259","https://openalex.org/W2003513405","https://openalex.org/W2025481570","https://openalex.org/W3083947873","https://openalex.org/W4230922438","https://openalex.org/W1568325880"],"abstract_inverted_index":{"It":[0],"has":[1],"been":[2],"recently":[3],"discovered":[4],"that":[5,32],"complementary":[6,46,61],"graph":[7,47,62],"entropy":[8,48,63],"characterizes":[9],"(and":[10],"offers":[11],"new":[12,30],"insights":[13],"into)":[14],"the":[15,72],"minimum":[16],"asymptotic":[17],"rate":[18,73,77],"for":[19,64],"zero-error":[20,53],"source":[21,82],"coding":[22,54,67],"with":[23],"decoder":[24],"side":[25],"information.":[26],"This":[27],"paper":[28],"presents":[29],"results":[31],"build":[33],"on":[34],"and":[35,51],"complement":[36],"this":[37],"discovery.":[38],"Specifically,":[39],"i)":[40],"previously":[41],"unknown":[42],"subadditivity":[43],"properties":[44],"of":[45,60],"are":[49,56],"derived,":[50],"ii)":[52],"rates":[55],"characterized":[57],"in":[58],"terms":[59],"two":[65],"multiterminal":[66],"scenarios.":[68],"For":[69],"both":[70],"scenarios,":[71],"characterization":[74],"implies":[75],"no":[76],"loss":[78],"relative":[79],"to":[80],"point-to-point":[81],"coding.":[83]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
