{"id":"https://openalex.org/W2963784719","doi":"https://doi.org/10.1109/itwf.2015.7360724","title":"On critical index coding problems","display_name":"On critical index coding problems","publication_year":2015,"publication_date":"2015-10-01","ids":{"openalex":"https://openalex.org/W2963784719","doi":"https://doi.org/10.1109/itwf.2015.7360724","mag":"2963784719"},"language":"en","primary_location":{"id":"doi:10.1109/itwf.2015.7360724","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itwf.2015.7360724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Information Theory Workshop - Fall (ITW)","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/A5028564632","display_name":"Fatemeh Arbabjolfaei","orcid":"https://orcid.org/0000-0003-1297-8121"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fatemeh Arbabjolfaei","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, San Diego, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, San Diego, United States of America","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101647166","display_name":"Young-Han Kim","orcid":"https://orcid.org/0000-0001-7255-8757"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Young-Han Kim","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, San Diego, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, San Diego, United States of America","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":1.7531,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87739464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"9","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9363999962806702,"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/T11130","display_name":"Coding theory and cryptography","score":0.9300000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.9285271167755127},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.562974214553833},{"id":"https://openalex.org/keywords/criticality","display_name":"Criticality","score":0.5312072038650513},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5227180123329163},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4717092216014862},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4468937814235687},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.41825735569000244},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41059863567352295},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3916313350200653},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37530213594436646},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32089757919311523},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17827686667442322},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12972965836524963},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10839283466339111},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09015679359436035}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.9285271167755127},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.562974214553833},{"id":"https://openalex.org/C125611927","wikidata":"https://www.wikidata.org/wiki/Q17008131","display_name":"Criticality","level":2,"score":0.5312072038650513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5227180123329163},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4717092216014862},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4468937814235687},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.41825735569000244},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41059863567352295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3916313350200653},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37530213594436646},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32089757919311523},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17827686667442322},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12972965836524963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10839283466339111},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09015679359436035},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itwf.2015.7360724","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itwf.2015.7360724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Information Theory Workshop - Fall (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1966060873","https://openalex.org/W1975711725","https://openalex.org/W1981824316","https://openalex.org/W2010213837","https://openalex.org/W2038110714","https://openalex.org/W2059613941","https://openalex.org/W2066723570","https://openalex.org/W2081008934","https://openalex.org/W2090908401","https://openalex.org/W2130507035","https://openalex.org/W2963010620"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2391769344","https://openalex.org/W2359260952","https://openalex.org/W4297790016","https://openalex.org/W2769269860","https://openalex.org/W2020701214","https://openalex.org/W4287585143"],"abstract_inverted_index":{"The":[0],"question":[1],"of":[2,37,93],"under":[3],"what":[4],"condition":[5,73],"some":[6],"side":[7,41],"information":[8,42],"for":[9,39,74],"index":[10],"coding":[11],"can":[12],"be":[13,63],"removed":[14,64],"without":[15,65],"affecting":[16],"the":[17,35,40,67,88,91,96,104],"capacity":[18,68,105],"region":[19,106],"is":[20,44,48,58,76,84],"studied,":[21],"which":[22,86],"was":[23],"originally":[24],"posed":[25],"by":[26,107],"Tahmasbi,":[27],"Shahrasbi,":[28],"and":[29,46,95,111],"Gohari.":[30],"To":[31],"answer":[32],"this":[33,71],"question,":[34],"notion":[36,92],"unicycle":[38,57,94],"graph":[43],"introduced":[45],"it":[47,61],"shown":[49],"that":[50,53],"any":[51],"edge":[52],"belongs":[54],"to":[55],"a":[56,81],"critical,":[59],"namely,":[60],"cannot":[62],"reducing":[66],"region.":[69],"Although":[70],"sufficient":[72],"criticality":[75],"not":[77],"necessary":[78],"in":[79],"general,":[80],"partial":[82],"converse":[83],"established,":[85],"elucidates":[87],"connection":[89],"between":[90],"maximal":[97],"acylic":[98],"induced":[99],"subgraph":[100],"outer":[101],"bound":[102],"on":[103],"Bar-Yossef,":[108],"Birk,":[109],"Jayram,":[110],"Kol.":[112]},"counts_by_year":[{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}