{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T20:07:48Z","timestamp":1648843668997},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2020,12]]},"abstract":"<jats:p> A [Formula: see text] net is a trivalent decoration made by alternating square [Formula: see text] and octagons [Formula: see text]. It can cover either a cylinder or a tori. Cayley graph [Formula: see text] on a group [Formula: see text] with connection set [Formula: see text] has the elements of [Formula: see text] as its vertices and an edge joining [Formula: see text] and [Formula: see text] for all [Formula: see text] and [Formula: see text]. Motivated by Afshari\u2019s work, we show that the [Formula: see text] tori are Cayley graphs by constructing a regular subgroup of the automorphism group of [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830920500731","type":"journal-article","created":{"date-parts":[[2020,6,4]],"date-time":"2020-06-04T03:25:45Z","timestamp":1591241145000},"page":"2050073","source":"Crossref","is-referenced-by-count":0,"title":["C4C8(S) tori which are Cayley graphs"],"prefix":"10.1142","volume":"12","author":[{"given":"Chunqi","family":"Liu","sequence":"first","affiliation":[{"name":"Nanjing Polytechnic Institute, Nanjing, Jiangsu, China"}]}],"member":"219","published-online":{"date-parts":[[2020,7,7]]},"reference":[{"key":"S1793830920500731BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830919500332"},{"key":"S1793830920500731BIB002","doi-asserted-by":"crossref","first-page":"705","DOI":"10.1016\/j.ipl.2009.03.009","volume":"109","author":"Alspach B.","year":"2009","journal-title":"Inform. Process. Lett."},{"key":"S1793830920500731BIB003","volume-title":"Algebraic Graph Theory","author":"Biggs N.","year":"1993","edition":"2"},{"key":"S1793830920500731BIB004","doi-asserted-by":"crossref","first-page":"174","DOI":"10.2307\/2369306","volume":"1","author":"Cayley A.","year":"1978","journal-title":"Amer. J. Math."},{"key":"S1793830920500731BIB005","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/978-1-4612-0261-5_4","volume":"123","author":"Chung F. R. K.","year":"1994","journal-title":"Lie Theory and Geometry"},{"key":"S1793830920500731BIB006","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1038\/354056a0","volume":"354","author":"Iijima S.","year":"1991","journal-title":"Nature"},{"key":"S1793830920500731BIB007","first-page":"493","volume":"56","author":"Meng J.","year":"2006","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"S1793830920500731BIB008","doi-asserted-by":"crossref","first-page":"800","DOI":"10.1090\/S0002-9939-1958-0097068-7","volume":"9","author":"Sabidussi G.","year":"1958","journal-title":"Proc. Amer. Math. Soc."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830920500731","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,29]],"date-time":"2020-11-29T05:01:50Z","timestamp":1606626110000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830920500731"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,7]]},"references-count":8,"journal-issue":{"issue":"06","published-print":{"date-parts":[[2020,12]]}},"alternative-id":["10.1142\/S1793830920500731"],"URL":"https:\/\/doi.org\/10.1142\/s1793830920500731","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7,7]]}}}