{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T15:13:48Z","timestamp":1770909228567,"version":"3.50.1"},"reference-count":14,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11571139"],"award-info":[{"award-number":["11571139"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2018,2]]},"abstract":"<jats:p> Let [Formula: see text] be a simple graph with [Formula: see text] edges and [Formula: see text], [Formula: see text] be [Formula: see text] simple graphs. The generalized edge corona, denoted by [Formula: see text], is the graph obtained by taking one copy of graphs [Formula: see text], [Formula: see text], [Formula: see text] and then joining two end-vertices of the [Formula: see text]th edge [Formula: see text] of [Formula: see text] to every vertex of [Formula: see text] for [Formula: see text]. In this paper, we determine and study the characteristic polynomial, Laplacian polynomial and signless Laplacian polynomial of [Formula: see text]. As an application, we also count the number of spanning trees of the generalized edge corona. <\/jats:p>","DOI":"10.1142\/s1793830918500027","type":"journal-article","created":{"date-parts":[[2017,11,3]],"date-time":"2017-11-03T06:31:25Z","timestamp":1509690685000},"page":"1850002","source":"Crossref","is-referenced-by-count":10,"title":["Spectra of the generalized edge corona of graphs"],"prefix":"10.1142","volume":"10","author":[{"given":"Yanyan","family":"Luo","sequence":"first","affiliation":[{"name":"School of Sciences, Jimei University, Xiamen 361021, P. R. China"}]},{"given":"Weigen","family":"Yan","sequence":"additional","affiliation":[{"name":"School of Sciences, Jimei University, Xiamen 361021, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2018,2,14]]},"reference":[{"key":"S1793830918500027BIB001","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1850"},{"key":"S1793830918500027BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84882-981-7"},{"key":"S1793830918500027BIB003","doi-asserted-by":"publisher","DOI":"10.1137\/050624029"},{"key":"S1793830918500027BIB004","volume-title":"Algebraic Graph Theory","author":"Biggs N. L.","year":"1993","edition":"2"},{"key":"S1793830918500027BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s00373-013-1327-7"},{"key":"S1793830918500027BIB006","first-page":"287","volume":"88","author":"Cui S. Y.","year":"2012","journal-title":"Util. Math."},{"key":"S1793830918500027BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2015.11.032"},{"key":"S1793830918500027BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/BF01844162"},{"key":"S1793830918500027BIB009","doi-asserted-by":"publisher","DOI":"10.21236\/AD0705364"},{"key":"S1793830918500027BIB010","doi-asserted-by":"publisher","DOI":"10.13001\/1081-3810.1395"},{"key":"S1793830918500027BIB011","doi-asserted-by":"publisher","DOI":"10.5937\/KgJMath1401163L"},{"key":"S1793830918500027BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2012.12.033"},{"key":"S1793830918500027BIB013","first-page":"55","volume":"112","author":"Ma X. L.","year":"2013","journal-title":"Ars Combin."},{"key":"S1793830918500027BIB014","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2012.670236"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830918500027","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:11:31Z","timestamp":1565111491000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830918500027"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2]]},"references-count":14,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2018,2,14]]},"published-print":{"date-parts":[[2018,2]]}},"alternative-id":["10.1142\/S1793830918500027"],"URL":"https:\/\/doi.org\/10.1142\/s1793830918500027","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,2]]}}}