{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T15:38:37Z","timestamp":1740152317379,"version":"3.37.3"},"reference-count":0,"publisher":"National Library of Serbia","issue":"2","license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004564","name":"Ministry of Education, Science and Technological Development of the Republic of Serbia","doi-asserted-by":"publisher","award":["174012  174033"],"award-info":[{"award-number":["174012  174033"]}],"id":[{"id":"10.13039\/501100004564","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Appl Anal Discrete Math","APPL ANAL DISC MATH","APPL ANAL DISCR MATH","APPL ANAL DISCRETE M"],"published-print":{"date-parts":[[2017]]},"abstract":"<jats:p>For a (simple) graph H and non-negative integers c0, c1,..., cd (cd ? 0),\n   p(H) = ?dk=0 ck?Hk is the lexicographic polynomial in H of degree d, where\n   the sum of two graphs is their join and ck?Hk is the join of ck copies of Hk.\n   The graph Hk is the kth power of H with respect to the lexicographic product\n   (H0 = K1). The spectrum (if H is connected and regular) and the Laplacian\n   spectrum (in general case) of p(H) are determined in terms of the spectrum of\n   H and ck's. Constructions of infinite families of cospectral or integral\n   graphs are announced.<\/jats:p>","DOI":"10.2298\/aadm1702258c","type":"journal-article","created":{"date-parts":[[2017,10,27]],"date-time":"2017-10-27T09:34:49Z","timestamp":1509096889000},"page":"258-272","source":"Crossref","is-referenced-by-count":2,"title":["Lexicographic polynomials of graphs and their spectra"],"prefix":"10.2298","volume":"11","author":[{"suffix":"M.","given":"Domingos","family":"Cardoso","sequence":"first","affiliation":[{"name":"Universidade de Aveiro, Centro de Investiga\u00e7\u00e3o e Desenvolvimento em Matem\u00e1tica e Aplica\u00e7\u00f5es Departamento de Matem\u00e1tica, Aveiro, Portugal"}]},{"given":"Paula","family":"Carvalho","sequence":"additional","affiliation":[{"name":"Universidade de Aveiro, Centro de Investiga\u00e7\u00e3o e Desenvolvimento em Matem\u00e1tica e Aplica\u00e7\u00f5es Departamento de Matem\u00e1tica, Aveiro, Portugal"}]},{"given":"Paula","family":"Rama","sequence":"additional","affiliation":[{"name":"Universidade de Aveiro, Centro de Investiga\u00e7\u00e3o e Desenvolvimento em Matem\u00e1tica e Aplica\u00e7\u00f5es Departamento de Matem\u00e1tica, Aveiro, Portugal"}]},{"suffix":"K.","given":"Slobodan","family":"Simic","sequence":"additional","affiliation":[{"name":"Mathematical Institute SANU, Belgrade + State University of Novi Pazar, Novi Pazar"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4949-4203","authenticated-orcid":false,"given":"Zoran","family":"Stanic","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics, Belgrade"}]}],"member":"1078","container-title":["Applicable Analysis and Discrete Mathematics"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,5,26]],"date-time":"2023-05-26T12:17:35Z","timestamp":1685103455000},"score":1,"resource":{"primary":{"URL":"https:\/\/doiserbia.nb.rs\/Article.aspx?ID=1452-86301702258C"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017]]}},"URL":"https:\/\/doi.org\/10.2298\/aadm1702258c","relation":{},"ISSN":["1452-8630","2406-100X"],"issn-type":[{"type":"print","value":"1452-8630"},{"type":"electronic","value":"2406-100X"}],"subject":[],"published":{"date-parts":[[2017]]}}}