{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:13:20Z","timestamp":1740136400973,"version":"3.37.3"},"reference-count":65,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T00:00:00Z","timestamp":1622505600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T00:00:00Z","timestamp":1622505600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T00:00:00Z","timestamp":1622505600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61701439","61731002"],"award-info":[{"award-number":["61701439","61731002"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Zhejiang Key Research and Development Plan","award":["2019C01002","2019C03131"],"award-info":[{"award-number":["2019C01002","2019C03131"]}]},{"name":"Zhejiang Lab","award":["2019LC0AB01"],"award-info":[{"award-number":["2019LC0AB01"]}]},{"name":"Zhejiang Provincial Natural Science Foundation of China","award":["LY20F010016"],"award-info":[{"award-number":["LY20F010016"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. on Mobile Comput."],"published-print":{"date-parts":[[2021,6,1]]},"DOI":"10.1109\/tmc.2020.2975783","type":"journal-article","created":{"date-parts":[[2020,2,25]],"date-time":"2020-02-25T04:11:53Z","timestamp":1582603913000},"page":"2254-2268","source":"Crossref","is-referenced-by-count":3,"title":["On the Capacity of Fractal D2D Social Networks with Hierarchical Communications"],"prefix":"10.1109","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7769-216X","authenticated-orcid":false,"given":"Ying","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4297-5060","authenticated-orcid":false,"given":"Rongpeng","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5479-7890","authenticated-orcid":false,"given":"Zhifeng","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1492-1364","authenticated-orcid":false,"given":"Honggang","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/IPDPS.2009.5161174"},{"key":"ref38","first-page":"233","article-title":"QoS and service continuity in 3GPP D2D for IoT and wearables","author":"kozio?","year":"2017","journal-title":"Proc IEEE Conf Standards Commun Netw"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/WCSP.2017.8171117"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2017.2751470"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/ICoCS.2014.7060956"},{"key":"ref30","first-page":"1654","article-title":"TFRank: An evaluation of users importance with fractal views in social networks","volume":"5","author":"hao","year":"2011","journal-title":"Int J Comput Autom Control Inf Eng"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/ICT.2016.7500355"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2011.2131693"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1145\/1288107.1288114"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.comnet.2016.08.001"},{"key":"ref60","first-page":"16","article-title":"Scaling laws for ad hoc wireless networks: An information theoretic approach","volume":"1","author":"feng","year":"2006","journal-title":"Found Trends Netw"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1177\/0146167295218002"},{"key":"ref61","first-page":"222","article-title":"The longest edge of the random minimal spanning tree","volume":"7","author":"penrose","year":"1996","journal-title":"Ann Appl Probability"},{"key":"ref63","first-page":"48","article-title":"New inequalities between elementary symmetric polynomials","volume":"4","author":"mitev","year":"2003","journal-title":"J Inequalities Pure Appl Math"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/MWC.2016.7553033"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1145\/1151659.1159930"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/MCOM.2014.6829957"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.885519"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1037\/a0035620"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"4375","DOI":"10.1109\/ACCESS.2017.2755058","article-title":"A situational awareness trust evolution model for mobile devices in D2D communication","volume":"6","author":"guo","year":"2017","journal-title":"IEEE Access"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TMC.2016.2582159"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/18.825799"},{"key":"ref22","first-page":"1","article-title":"On the capacity of hybrid wireless networks","volume":"2010","author":"azimdoost","year":"2009","journal-title":"EURASIP J Wireless Commun Netw"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2002.1019409"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"396","DOI":"10.3390\/s19020396","article-title":"When social networks meet D2D communications: A survey","volume":"19","author":"michele","year":"2019","journal-title":"SENSORS"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2015.2465896"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TNET.2014.2329956"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.comnet.2016.03.013"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2016.2615624"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/MWC.2016.7721749"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.90.058701"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2014.2362523"},{"key":"ref57","first-page":"1","article-title":"The impact of device-to-device communication on the capacity of cellular systems","author":"min","year":"2016","journal-title":"Proc Int Conf Comput Inf Telecommun Syst"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/ICC.2014.6883655"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/APUSNCURSINRSM.2017.8072424"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1109\/APCAP.2015.7374389"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1038\/433365a"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.3390\/s17040841"},{"key":"ref10","first-page":"499","article-title":"Fractal geometry-mathematical foundations and applications","volume":"46","author":"falconer","year":"2003","journal-title":"Biometrics"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.100.248701"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1145\/1080139.1080143"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1038\/nphys266"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2007\/03\/P03006"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1038\/nature03248"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.74.47"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/S003614450342480"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1038\/43601"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1145\/316194.316229"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"3132","DOI":"10.1109\/ACCESS.2017.2674021","article-title":"Not call me cellular any more: The emergence of scaling law, fractal patterns and small-world in wireless networks","volume":"5","author":"yuan","year":"2017","journal-title":"IEEE Access"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TMM.2017.2700621"},{"year":"2015","key":"ref3","article-title":"Service requirements for the evolved packet system (EPS) (release 11)"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2015.7282438"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/MASCOTS.2013.66"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/42.24861"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.6029\/smartcr.2015.04.011"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2012.121112.111581"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1119\/1.13295"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2002.1023623"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TNET.2010.2103367"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/IWCMC.2013.6583603"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/NSW.2011.6004655"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/INFOCOM.2006.299"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1145\/961268.961272"},{"key":"ref44","first-page":"105","article-title":"An optimal probabilistic forwarding protocolin delay tolerant networks","author":"liu","year":"2009","journal-title":"Proc 10th ACM Int Symp Mobile Ad Hoc Netw Comput"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1145\/1288107.1288115"}],"container-title":["IEEE Transactions on Mobile Computing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/7755\/9424512\/09007371.pdf?arnumber=9007371","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T14:52:19Z","timestamp":1652194339000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9007371\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,1]]},"references-count":65,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tmc.2020.2975783","relation":{},"ISSN":["1536-1233","1558-0660","2161-9875"],"issn-type":[{"type":"print","value":"1536-1233"},{"type":"electronic","value":"1558-0660"},{"type":"electronic","value":"2161-9875"}],"subject":[],"published":{"date-parts":[[2021,6,1]]}}}