{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T15:56:33Z","timestamp":1648655793358},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Parallel Process. Lett."],"published-print":{"date-parts":[[2015,12]]},"abstract":"<jats:p> The class of 2-bijective connection networks (2BC networks) is defined recursively as follows: Let [Formula: see text] and for [Formula: see text], let [Formula: see text] be the set of all graphs that can be constructed by taking two (possibly the same) elements [Formula: see text] and [Formula: see text] from [Formula: see text] (if we take the same element, we will assume they are two different copies and so [Formula: see text] remains empty) with two bijections [Formula: see text] and [Formula: see text] to form the graph [Formula: see text] where [Formula: see text] and [Formula: see text] such that [Formula: see text]. This class of networks includes the class of augmented cubes. We study the structural properties of the resulting graph when \u201cmany\u201d edges are deleted from such a network. We then mention some applications. <\/jats:p>","DOI":"10.1142\/s0129626415500061","type":"journal-article","created":{"date-parts":[[2015,12,31]],"date-time":"2015-12-31T02:13:35Z","timestamp":1451528015000},"page":"1550006","source":"Crossref","is-referenced-by-count":1,"title":["Linearly Many Edge-Faults in 2-Bijective Connection Networks"],"prefix":"10.1142","volume":"25","author":[{"given":"Dhruv","family":"Medarametla","sequence":"first","affiliation":[{"name":"Troy High School, 4777 Northfield Pkwy, Troy, MI 48098, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eddie","family":"Cheng","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Steven","family":"Cheng","sequence":"additional","affiliation":[{"name":"Troy High School, 4777 Northfield Pkwy, Troy, MI 48098, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lawrance","family":"Wu","sequence":"additional","affiliation":[{"name":"Troy High School, 4777 Northfield Pkwy, Troy, MI 48098, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,12,30]]},"reference":[{"key":"p_1","first-page":"185","volume":"174","author":"Brigham R. C.","year":"2005","journal-title":"Congressus Numerantium"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1142\/S0219265910002726"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2012.03.040"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.10.029"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1007\/s00373-012-1172-0"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1109\/TR.2011.2170105"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2011.638978"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2007.08.046"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2009.02.019"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2010.08.017"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1080\/00207160410001661726"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1080\/0020716041233127208"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1080\/00207160500113173"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1007\/s11227-007-0167-8"}],"container-title":["Parallel Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129626415500061","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:51:59Z","timestamp":1565200319000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129626415500061"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12]]},"references-count":14,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2015,12,30]]},"published-print":{"date-parts":[[2015,12]]}},"alternative-id":["10.1142\/S0129626415500061"],"URL":"https:\/\/doi.org\/10.1142\/s0129626415500061","relation":{},"ISSN":["0129-6264","1793-642X"],"issn-type":[{"value":"0129-6264","type":"print"},{"value":"1793-642X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12]]}}}