{"id":"https://openalex.org/W2152705493","doi":"https://doi.org/10.1109/allerton.2013.6736606","title":"Matroid bounds on the region of entropic vectors","display_name":"Matroid bounds on the region of entropic vectors","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2152705493","doi":"https://doi.org/10.1109/allerton.2013.6736606","mag":"2152705493"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2013.6736606","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2013.6736606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/A5049701424","display_name":"Congduan Li","orcid":"https://orcid.org/0000-0003-0495-332X"},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Congduan Li","raw_affiliation_strings":["Dept. of ECE, Drexel University, Philadelphia, PA, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of ECE, Drexel University, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060945955","display_name":"John MacLaren Walsh","orcid":null},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John MacLaren Walsh","raw_affiliation_strings":["Dept. of ECE, Drexel University, Philadelphia, PA, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of ECE, Drexel University, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064074892","display_name":"Steven Weber","orcid":"https://orcid.org/0000-0002-9235-6922"},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven Weber","raw_affiliation_strings":["Dept. of ECE, Drexel University, Philadelphia, PA, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of ECE, Drexel University, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I72816309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049701424"],"corresponding_institution_ids":["https://openalex.org/I72816309"],"apc_list":null,"apc_paid":null,"fwci":1.889,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8805744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"796","last_page":"803"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9993000030517578,"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":0.9993000030517578,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9957000017166138,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9521337747573853},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7211881875991821},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.659985363483429},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5828326344490051},{"id":"https://openalex.org/keywords/oriented-matroid","display_name":"Oriented matroid","score":0.5578657388687134},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.507026195526123},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47582152485847473},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.47492700815200806},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4661409258842468},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.3059283494949341},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08306556940078735}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9521337747573853},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7211881875991821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.659985363483429},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5828326344490051},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.5578657388687134},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.507026195526123},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47582152485847473},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47492700815200806},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4661409258842468},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.3059283494949341},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08306556940078735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/allerton.2013.6736606","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2013.6736606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.719.2410","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.719.2410","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.pages.drexel.edu/%7Ecl698/Allerton2013.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W108696806","https://openalex.org/W1992823229","https://openalex.org/W2022780488","https://openalex.org/W2060472508","https://openalex.org/W2070056858","https://openalex.org/W2078355120","https://openalex.org/W2082979238","https://openalex.org/W2086387649","https://openalex.org/W2120085609","https://openalex.org/W2131304595","https://openalex.org/W2134206798","https://openalex.org/W2147681281","https://openalex.org/W2170184107","https://openalex.org/W4231868828","https://openalex.org/W4238778133","https://openalex.org/W4243881360"],"related_works":["https://openalex.org/W2400862597","https://openalex.org/W2072414647","https://openalex.org/W2058489697","https://openalex.org/W2550106438","https://openalex.org/W1984819493","https://openalex.org/W2153065381","https://openalex.org/W1706059295","https://openalex.org/W2046319394","https://openalex.org/W4246417054","https://openalex.org/W4226057593"],"abstract_inverted_index":{"Several":[0],"properties":[1,112],"of":[2,9,32,48,52,68,71,85,89,100,104,108,123],"the":[3,7,46,49,53,65,69,82,86,90,101,105,121],"inner":[4,95],"bound":[5,56,96],"on":[6],"region":[8],"entropic":[10],"vectors":[11],"obtained":[12],"from":[13],"representable":[14,92],"matroids":[15],"are":[16,61,63,77,97,113],"derived.":[17],"In":[18],"particular,":[19],"it":[20,39],"is":[21,40],"shown":[22,114],"that:":[23],"I)":[24],"It":[25],"suffices":[26],"to":[27,36,115],"check":[28],"size":[29],"2":[30],"minors":[31],"an":[33],"integer-valued":[34],"vector":[35],"determine":[37],"if":[38],"a":[41,98],"valid":[42],"matroid":[43,75,93,109],"rank;":[44],"II)":[45],"subset":[47,99],"extreme":[50,66,83,102],"rays":[51,67,84,103],"Shannon":[54],"outer":[55],"(the":[57],"extremal":[58],"polymatroids)":[59],"that":[60],"matroidal":[62],"also":[64],"cone":[70],"matroids;":[72],"III)":[73],"All":[74],"ranks":[76,94],"convex":[78],"independent;":[79],"and":[80],"IV)":[81],"conic":[87,106],"hull":[88,107],"binary/ternary/quaternary":[91],"ranks.":[110],"These":[111],"allow":[116],"for":[117],"substantial":[118],"reduction":[119],"in":[120,128],"complexity":[122],"calculating":[124],"important":[125],"rate":[126],"regions":[127],"multiterminal":[129],"information":[130],"theory,":[131],"including":[132],"multiple":[133],"source":[134],"multicast":[135],"network":[136],"coding":[137],"capacity":[138],"regions.":[139]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}