{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T13:06:39Z","timestamp":1648559199094},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2000,3]]},"abstract":"<jats:p> Double-loop networks have been widely studied as architecture for local area networks. The L-shape is an important tool for studying the distance properties of double-loop networks. Two L-shapes are equivalent if the numbers of nodes k steps away from the origin are the same for every k. Hwang and Xu first studied equivalent L-shapes through a geometric operation called a 3-rectangle transformation. R\u00f6dseth gave an algebraic operation, which was found by Huang, Hwang and Liu to correspond to the 3-rectangle transformation. Recently, Chen and Hwang obtained all equivalent transformations for the nondegenerate case. In this paper, we do the same for the degenerate case. <\/jats:p>","DOI":"10.1142\/s0219265900000044","type":"journal-article","created":{"date-parts":[[2002,8,24]],"date-time":"2002-08-24T17:40:19Z","timestamp":1030210819000},"page":"47-60","source":"Crossref","is-referenced-by-count":4,"title":["EQUIVALENT L-SHAPES OF DOUBLE-LOOP NETWORKS FOR THE DEGENERATE CASE"],"prefix":"10.1142","volume":"01","author":[{"given":"CHIUYUAN","family":"CHEN","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics,  National Chiao Tung University, Hsinchu 300, Taiwan, R.O.C."}]},{"given":"F. K.","family":"HWANG","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics,  National Chiao Tung University, Hsinchu 300, Taiwan, R.O.C."}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1016\/0743-7315(86)90008-0"},{"key":"p_2","author":"Chen C.","journal-title":"IEEE Trans. Comput."},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(92)90370-U"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(93)90363-X"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1109\/TC.1987.1676963"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480190184811"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(87)90123-3"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1109\/90.330417"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(94)00239-F"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1145\/321832.321838"}],"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265900000044","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T10:41:03Z","timestamp":1565174463000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219265900000044"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,3]]},"references-count":10,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,1,25]]},"published-print":{"date-parts":[[2000,3]]}},"alternative-id":["10.1142\/S0219265900000044"],"URL":"https:\/\/doi.org\/10.1142\/s0219265900000044","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"value":"0219-2659","type":"print"},{"value":"1793-6713","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,3]]}}}