{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T17:26:39Z","timestamp":1648661199915},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[1997,9]]},"abstract":"<jats:p> A multiloop network is a Cayley digraph of the additive group \u2124<jats:sub>m<\/jats:sub> of integers modulo m generated by a set A of k \u2265 2 \"steps\". Because of their application to the computer network design, multiloop networks have been studied extensively. Given an integer d \u2265 2 and a real number r &gt; 1, let m(d,3) be the maximum size of a triple loop network with transmission delay (diameter) less than or equal to d, and let m*(r,3) be the maximum size of a triple loop network with average transmission delay less than or equal to r. In this paper, the following lower bounds are proved: [Formula: see text] <\/jats:p><jats:p> which improve earlier lower bounds by Jia and Aguil\u00f3, Fiol and Garcia. <\/jats:p>","DOI":"10.1142\/s0129054197000203","type":"journal-article","created":{"date-parts":[[2003,10,16]],"date-time":"2003-10-16T00:35:19Z","timestamp":1066264519000},"page":"305-328","source":"Crossref","is-referenced-by-count":4,"title":["Triple Loop Networks with Minimal Transmission Delay"],"prefix":"10.1142","volume":"08","author":[{"given":"Xingde","family":"Jia","sequence":"first","affiliation":[{"name":"Department of Mathematics, Southwest Texas State University, San Marcos, Texas 78666-4616, USA"}]},{"given":"Weidong","family":"Su","sequence":"additional","affiliation":[{"name":"LDDS WorldCom, Inc., 12500 San Pedro, Suite 400, San Antonio, Texas, USA"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129054197000203","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:46:01Z","timestamp":1565138761000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129054197000203"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,9]]},"references-count":0,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1997,9]]}},"alternative-id":["10.1142\/S0129054197000203"],"URL":"https:\/\/doi.org\/10.1142\/s0129054197000203","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,9]]}}}