{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T13:43:06Z","timestamp":1648993386941},"reference-count":30,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2016,3]]},"abstract":"<jats:p>In this paper we construct a Cayley graph for multiplicative group of upper unitriangular [Formula: see text] matrices over [Formula: see text] mod [Formula: see text]. Also we find some topological indices, diameter, girth, spectra and energy of adjacency, Laplacian, normalized Laplacian and signless Laplacian matrix of the same graph.<\/jats:p>","DOI":"10.1142\/s1793830916500099","type":"journal-article","created":{"date-parts":[[2015,11,23]],"date-time":"2015-11-23T09:19:43Z","timestamp":1448270383000},"page":"1650009","source":"Crossref","is-referenced-by-count":0,"title":["On the graph of nilpotent matrix group of length one"],"prefix":"10.1142","volume":"08","author":[{"given":"C. K.","family":"Gupta","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Manitoba, Winnipeg, Canada, R3T 2N2"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B. Shwetha","family":"Shetty","sequence":"additional","affiliation":[{"name":"Don Bosco Institute of Technology, Bangalore 78, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V.","family":"Lokesha","sequence":"additional","affiliation":[{"name":"Department of Studies in Mathematics, V. S. K. University, Ballari 583105, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,2,26]]},"reference":[{"key":"S1793830916500099BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2014.03.007"},{"key":"S1793830916500099BIB002","volume-title":"Algebraic Graph Theory","author":"Biggs N.","year":"1993"},{"key":"S1793830916500099BIB003","volume-title":"Spectra of Graphs","author":"Brouwer A. E.","year":"2011"},{"key":"S1793830916500099BIB004","doi-asserted-by":"crossref","DOI":"10.1090\/clrm\/032","volume-title":"Visual Group Theory","author":"Carter N.","year":"2009"},{"key":"S1793830916500099BIB005","doi-asserted-by":"publisher","DOI":"10.2307\/2369306"},{"key":"S1793830916500099BIB006","series-title":"CBMS Regional Conference Series","volume-title":"Spectral Graph Theory","volume":"92","author":"Chung F. R.","year":"1997"},{"issue":"3","key":"S1793830916500099BIB007","first-page":"647","volume":"64","author":"Das K. C.","year":"2010","journal-title":"MATCH Commun. Math. Comput. Chem."},{"issue":"1","key":"S1793830916500099BIB008","doi-asserted-by":"crossref","first-page":"117","DOI":"10.26493\/1855-3974.237.48a","volume":"6","author":"Das K. C.","year":"2013","journal-title":"Ars Math. Contemp."},{"issue":"10","key":"S1793830916500099BIB009","first-page":"849","volume":"37","author":"Estrada E.","year":"1998","journal-title":"Indian J. Chem. Sect. A: Inorg. Phys. Theoret. Anal."},{"issue":"70","key":"S1793830916500099BIB010","first-page":"3455","volume":"4","author":"Germina K. A.","year":"2010","journal-title":"Appl. Math. Sci."},{"key":"S1793830916500099BIB011","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1201093G"},{"key":"S1793830916500099BIB012","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.7243"},{"key":"S1793830916500099BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2614(72)85099-1"},{"key":"S1793830916500099BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2005.09.008"},{"key":"S1793830916500099BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830914500293"},{"key":"S1793830916500099BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/BF01164642"},{"key":"S1793830916500099BIB017","volume-title":"Graph-theoretical Matrices in Chemistry","author":"Jane\u017ei\u010d D.","year":"2007"},{"key":"S1793830916500099BIB018","doi-asserted-by":"publisher","DOI":"10.1186\/1029-242X-2013-180"},{"key":"S1793830916500099BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.03.072"},{"key":"S1793830916500099BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/BF01164638"},{"key":"S1793830916500099BIB021","doi-asserted-by":"publisher","DOI":"10.1021\/ja00856a001"},{"issue":"2","key":"S1793830916500099BIB022","first-page":"627","volume":"34","author":"Shwetha B. S.","year":"2012","journal-title":"J. Indian Acad. Math."},{"key":"S1793830916500099BIB023","first-page":"7","volume":"4","author":"Shwetha B. S.","year":"2015","journal-title":"Trans. Combin."},{"issue":"3","key":"S1793830916500099BIB024","first-page":"1097","volume":"7","author":"Shwetha B. S.","year":"2012","journal-title":"Digest J. Nanomater. Biostruct."},{"key":"S1793830916500099BIB025","series-title":"Translations of Mathematical Monographs","volume-title":"Matrix Groups","volume":"45","author":"Suprunenko D. A.","year":"2012"},{"key":"S1793830916500099BIB026","doi-asserted-by":"publisher","DOI":"10.1002\/9783527628766"},{"key":"S1793830916500099BIB027","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-009-9520-x"},{"key":"S1793830916500099BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2007.11.005"},{"key":"S1793830916500099BIB029","doi-asserted-by":"publisher","DOI":"10.1021\/ja01193a005"},{"key":"S1793830916500099BIB030","first-page":"441","volume":"60","author":"Zhou B.","year":"2008","journal-title":"MATCH Commun. Math. Comput. Chem."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830916500099","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,11]],"date-time":"2020-09-11T18:21:10Z","timestamp":1599848470000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830916500099"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,26]]},"references-count":30,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2016,2,26]]},"published-print":{"date-parts":[[2016,3]]}},"alternative-id":["10.1142\/S1793830916500099"],"URL":"https:\/\/doi.org\/10.1142\/s1793830916500099","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,2,26]]}}}