{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T15:58:42Z","timestamp":1787759922146,"version":"build-2784847793"},"reference-count":69,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[2015,10,1]],"date-time":"2015-10-01T00:00:00Z","timestamp":1443657600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"name":"University Grants Committee of the Hong Kong Special Administrative Region, China","award":["AoE\/E-02\/08"],"award-info":[{"award-number":["AoE\/E-02\/08"]}]},{"name":"Shenzhen Research Fund","award":["KQCX20130628164008004"],"award-info":[{"award-number":["KQCX20130628164008004"]}]},{"name":"Shenzhen Research Fund","award":["JCYJ20130401171935815"],"award-info":[{"award-number":["JCYJ20130401171935815"]}]},{"name":"Shenzhen Key Laboratory of Network Coding Key Technology and Application, Shenzhen, China","award":["ZDSY20120619151314964"],"award-info":[{"award-number":["ZDSY20120619151314964"]}]},{"name":"University Grants Committee of the Hong Kong Special Administrative Region, China","award":["14200714"],"award-info":[{"award-number":["14200714"]}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-13-20237"],"award-info":[{"award-number":["CCF-13-20237"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proc. IEEE"],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1109\/jproc.2015.2458316","type":"journal-article","created":{"date-parts":[[2015,9,16]],"date-time":"2015-09-16T20:36:29Z","timestamp":1442435789000},"page":"1883-1913","source":"Crossref","is-referenced-by-count":60,"title":["Multivariate Mutual Information Inspired by Secret-Key Agreement"],"prefix":"10.1109","volume":"103","author":[{"given":"Chung","family":"Chan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ali","family":"Al-Bashabsheh","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Javad B.","family":"Ebrahimi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tarik","family":"Kaced","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tie","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","author":"yeung","year":"2008","journal-title":"Information Theory and Network Coding"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BF02592217"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2015.7282463"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/BF01589419"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/NETCOD.2015.7176782"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2014.6875014"},{"key":"ref37","author":"bang-jensen","year":"2001","journal-title":"Decompositions and Orientations of Hypergraphs"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-218X(02)00463-8"},{"key":"ref35","author":"dantzig","year":"2003","journal-title":"Linear Programming 1 Introduction"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1002\/0471200611"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620334"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2009.5394810"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/ITW.2013.6691270"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2110110"},{"key":"ref28","first-page":"1759","article-title":"Minimum average cost clustering","author":"nagano","year":"2010","journal-title":"Advances in Neural Information Processing Systems 23"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(79)90011-X"},{"key":"ref27","author":"milosavljevic","year":"2013","journal-title":"Data exchange problems Algorithms and complexity"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2002.807285"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2090227"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2262496"},{"key":"ref67","article-title":"Network coding in undirected networks","author":"li","year":"0","journal-title":"Proc 38th Annu Conf Inf Sci Syst"},{"key":"ref68","doi-asserted-by":"crossref","first-page":"2467","DOI":"10.1109\/TIT.2006.874515","article-title":"On achieving maximum multicast throughput in undirected networks","volume":"52","author":"li","year":"2006","journal-title":"IEEE Trans Inf Theory"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2050832"},{"key":"ref2","author":"chan","year":"2010","journal-title":"Generating Secret in A Network"},{"key":"ref1","author":"chan","year":"2010","journal-title":"Mutual dependence of random variables"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2313566"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2081210"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557610"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2081450"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2008.4595140"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2011.6034157"},{"key":"ref25","author":"schrijver","year":"2002","journal-title":"Combinatorial Optimization Polyhedra and Efficiency"},{"key":"ref50","first-page":"127","author":"fujishige","year":"2009","journal-title":"Theory of Principal Partitions Revisited"},{"key":"ref51","first-page":"149","article-title":"Common information is far less than mutual information","volume":"2","author":"g\u00e1cs","year":"1972","journal-title":"Probl Control Inf Theory"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2012.6283513"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2010.5706995"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1975.1055346"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2046253"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/18.79902"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(78)90275-9"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1007\/BF02289159"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2274614"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/18.256484"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/18.243431"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(78)91063-X"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1949.tb00928.x"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1007\/3-540-45539-6_24","article-title":"Information-theoretic key agreement: From weak to strong secrecy for free","volume":"1807","author":"maurer","year":"2000","journal-title":"Advances in Cryptology—EUROCRYPT 2000"},{"key":"ref14","first-page":"154","article-title":"On the interplay between shannon’s information measures and reliability criteria","author":"ho","year":"0","journal-title":"Proc IEEE Int Symp Inf Theory"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557523"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2008.4595085"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2009.5206054"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2216254"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2184075"},{"key":"ref4","author":"chan","year":"2008","journal-title":"On tightness of mutual dependence upper bound for secret-key capacity of multiple terminals"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.838380"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2011.6034285"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/CISS.2010.5464805"},{"key":"ref8","article-title":"Interactive multiterminal communication","author":"narayan","year":"0","journal-title":"Workshop Optimal Cooperation Communication Learning in Decentralized Systems"},{"key":"ref7","article-title":"Omniscience and secrecy","author":"narayan","year":"2012","journal-title":"IEEE Int Symp Inf Theory"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(91)90070-D"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.921705"},{"key":"ref46","author":"kullback","year":"1959","journal-title":"Information Theory and Statistics"},{"key":"ref45","doi-asserted-by":"crossref","DOI":"10.1109\/ALLERTON.2015.7447116","article-title":"Clustering of random variables by multivariate mutual information on Chow-Liu tree approximations","author":"chan","year":"2015","journal-title":"Proc 53rd Annu Allerton Conf Commun Control Comput"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1147\/rd.41.0066"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(75)80004-0"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/18.681320"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/18.641561"},{"key":"ref44","article-title":"Clustering of random variables by multivariate mutual information","author":"chan","year":"0","journal-title":"IEEE Trans Inf Theory"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/27.3.339"}],"container-title":["Proceedings of the IEEE"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/5\/7270357\/07270410.pdf?arnumber=7270410","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:03:11Z","timestamp":1642003391000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7270410\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10]]},"references-count":69,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/jproc.2015.2458316","relation":{},"ISSN":["0018-9219","1558-2256"],"issn-type":[{"value":"0018-9219","type":"print"},{"value":"1558-2256","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10]]}}}