{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T13:19:11Z","timestamp":1774963151555,"version":"3.50.1"},"reference-count":30,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"DOI":"10.13039\/501100002293","name":"Department of Industry and Science, Australian Government","doi-asserted-by":"crossref","award":["DST\/INSPIRE Fellowship\/[IF150651] 2015"],"award-info":[{"award-number":["DST\/INSPIRE Fellowship\/[IF150651] 2015"]}],"id":[{"id":"10.13039\/501100002293","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2019,12]]},"abstract":"<jats:p> In this paper, we define some variants of corona of graphs namely, subdivision (respectively, [Formula: see text]-graph, [Formula: see text]-graph, total) neighborhood corona, [Formula: see text]-graph (respectively, [Formula: see text]-graph, total) semi-edge neighborhood corona, [Formula: see text]-graph (respectively, total) semi-vertex neighborhood corona of graphs constrained by vertex subsets. These corona operations generalize some existing corona operations such as subdivision ([Formula: see text]-graph, [Formula: see text]-graph, total) double neighborhood corona, subdivision vertex (respectively, edge) neighborhood corona, [Formula: see text]-graph vertex (respectively, edge) neighborhood corona of graphs. First, we consider a matrix in specific form and determine its spectrum. Then by using this, we derive the characteristic polynomials of the adjacency and the Laplacian matrices of the new graphs when the base graph is regular. Also, we deduce the characteristic polynomials of the adjacency and Laplacian matrices of the above mentioned particular cases from our results. <\/jats:p>","DOI":"10.1142\/s1793830919500733","type":"journal-article","created":{"date-parts":[[2019,9,27]],"date-time":"2019-09-27T03:13:48Z","timestamp":1569554028000},"page":"1950073","source":"Crossref","is-referenced-by-count":11,"title":["Adjacency and Laplacian spectra of variants of neighborhood corona of graphs constrained by vertex subsets"],"prefix":"10.1142","volume":"11","author":[{"given":"M.","family":"Gayathri","sequence":"first","affiliation":[{"name":"Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India"}]},{"given":"R.","family":"Rajkumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India"}]}],"member":"219","published-online":{"date-parts":[[2019,12,19]]},"reference":[{"key":"S1793830919500733BIB001","doi-asserted-by":"publisher","DOI":"10.2298\/AADM150218006B"},{"key":"S1793830919500733BIB002","doi-asserted-by":"publisher","DOI":"10.1515\/spma-2018-0027"},{"key":"S1793830919500733BIB003","doi-asserted-by":"publisher","DOI":"10.1137\/050624029"},{"key":"S1793830919500733BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2016.09.030"},{"key":"S1793830919500733BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-1939-6"},{"key":"S1793830919500733BIB006","first-page":"141","volume":"91","author":"Chinn P. 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