{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T08:40:24Z","timestamp":1775205624776,"version":"3.50.1"},"reference-count":16,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1992,4,1]],"date-time":"1992-04-01T00:00:00Z","timestamp":702086400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":7777,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[1992,4]]},"DOI":"10.1016\/0166-218x(92)90229-4","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:46:59Z","timestamp":1027655219000},"page":"153-168","source":"Crossref","is-referenced-by-count":107,"title":["Optimal linear labelings and eigenvalues of graphs"],"prefix":"10.1016","volume":"36","author":[{"given":"Martin","family":"Juvan","sequence":"first","affiliation":[]},{"given":"Bojan","family":"Mohar","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0166-218X(92)90229-4_BIB1","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0095-8956(85)90092-9","article-title":"\u03bb1, isoperimetric inequalities for graphs and superconcentrators","volume":"38","author":"Alon","year":"1985","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/0166-218X(92)90229-4_BIB2","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1002\/jgt.3190060302","article-title":"The bandwidth problem for graphs and matrices \u2014 a survey","volume":"6","author":"Chinn","year":"1982","journal-title":"J. Graph Theory"},{"key":"10.1016\/0166-218X(92)90229-4_BIB3","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1137\/1020084","article-title":"A conjectured minimum valuation tree, problems and solutions","volume":"20","author":"Chung","year":"1978","journal-title":"SIAM Rev."},{"key":"10.1016\/0166-218X(92)90229-4_BIB4","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0898-1221(84)90085-3","article-title":"On optimal linear arrangements of trees","volume":"10","author":"Chung","year":"1984","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/0166-218X(92)90229-4_BIB5","first-page":"151","article-title":"Labelings of graphs","volume":"3","author":"Chung","year":"1988"},{"key":"10.1016\/0166-218X(92)90229-4_BIB6","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/0012-365X(75)90039-4","article-title":"Optimal labeling of a product of two paths","volume":"11","author":"Chv\u00e1talov\u00e1","year":"1975","journal-title":"Discrete Math."},{"key":"10.1016\/0166-218X(92)90229-4_BIB7","article-title":"Tree topology and the NP-completeness of the tree bandwidth","volume":"60","author":"Dewdney","year":"1980"},{"issue":"100","key":"10.1016\/0166-218X(92)90229-4_BIB8","doi-asserted-by":"crossref","first-page":"619","DOI":"10.21136\/CMJ.1975.101357","article-title":"A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory","volume":"25","author":"Fiedler","year":"1975","journal-title":"Czechoslovak Math. J."},{"key":"10.1016\/0166-218X(92)90229-4_BIB9","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1137\/0134037","article-title":"Complexity results for bandwidth minimization","volume":"34","author":"Garey","year":"1978","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/0166-218X(92)90229-4_BIB10","series-title":"Computers and Intractability: A Guide to the Theory of NP-completeness","author":"Garey","year":"1979"},{"key":"10.1016\/0166-218X(92)90229-4_BIB11","first-page":"47","article-title":"Some simplified NP-complete problems","author":"Garey","year":"1974","journal-title":"Proceedings 6th ACM Symposium on Theory of Computing"},{"key":"10.1016\/0166-218X(92)90229-4_BIB12","series-title":"Graph Theory, Combinatorics, and Applications","first-page":"871","article-title":"The Laplacian spectrum of graphs","author":"Mohar","year":"1991"},{"key":"10.1016\/0166-218X(92)90229-4_BIB13","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/BF02280884","article-title":"The NP-completeness of the bandwidth minimization problem","volume":"16","author":"Papadimitriou","year":"1976","journal-title":"Computing"},{"key":"10.1016\/0166-218X(92)90229-4_BIB14","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1137\/0601042","article-title":"Dynamic programming algorithms for recognizing small-bandwidth graphs in polynomial time","volume":"1","author":"Saxe","year":"1980","journal-title":"SIAM J. Algebraic Discrete Methods"},{"key":"10.1016\/0166-218X(92)90229-4_BIB15","first-page":"274","article-title":"A polynomial algorithm for the min-cut linear arrangement of tress","author":"Yannakakis","year":"1983","journal-title":"Proceedings 24th IEEE Symposium on Foundation of Computer Science"},{"key":"10.1016\/0166-218X(92)90229-4_BIB16","unstructured":"M. Juvan and B. Mohar, Laplace eigenvalues and bandwidth-type invariants of graphs, submitted."}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X92902294?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X92902294?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,5,14]],"date-time":"2021-05-14T22:37:02Z","timestamp":1621031822000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0166218X92902294"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,4]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1992,4]]}},"alternative-id":["0166218X92902294"],"URL":"https:\/\/doi.org\/10.1016\/0166-218x(92)90229-4","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[1992,4]]}}}