{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T09:06:26Z","timestamp":1751879186029},"reference-count":51,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1999,4,1]],"date-time":"1999-04-01T00:00:00Z","timestamp":922924800000},"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":5221,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Theoretical Computer Science"],"published-print":{"date-parts":[[1999,4]]},"DOI":"10.1016\/s0304-3975(98)00274-6","type":"journal-article","created":{"date-parts":[[2003,4,25]],"date-time":"2003-04-25T10:09:04Z","timestamp":1051265344000},"page":"255-278","source":"Crossref","is-referenced-by-count":1,"title":["Boolean layer cakes. Proceedings ORDAL '96"],"prefix":"10.1016","volume":"217","author":[{"given":"J.","family":"Schmid","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0304-3975(98)00274-6_BIB1","doi-asserted-by":"crossref","unstructured":"M.E. Adams, Ph. Dwinger, J. Schmid, Maximal sublattices of finite distributive lattices, Algebra Universalis, to appear.","DOI":"10.1007\/BF01233919"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB2","series-title":"Maximal sublattices and Frattini sublattices of bounded lattices","author":"Adams","year":"1995"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB3","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0095-8956(73)90001-4","article-title":"Lexicographic matching in Boolean algebras","volume":"14","author":"Aigner","year":"1973","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB4","article-title":"Lattice Theory","volume":"vol. 25","author":"Birkhoff","year":"1967"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB5","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/BF01108597","article-title":"The dimension of suborders of Boolean lattices","volume":"11","author":"Brightwell","year":"1994","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB6","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/S0097-3165(96)80001-X","article-title":"The average number of linear extensions of a partial order","volume":"73","author":"Brightwell","year":"1996","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB7","series-title":"Graphentheorie III, BI Wissenschaftsverlag","first-page":"73","article-title":"Einbettungen von Graphen in den n-W\u00fcrfel","author":"Burosh","year":"1992"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB8_1","first-page":"92","author":"Crocker","year":"1974"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB8_2","first-page":"125","author":"Crocker","year":"1974"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB9","series-title":"Proc. Vth Internat. Conf. Theory Appl. Graphs","first-page":"189","article-title":"Hamilton cycles and quotients of bipartite graphs","author":"Dejter","year":"1985"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB10","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/0012-365X(93)90361-V","article-title":"A note on Frucht diagrams, Boolean graphs and Hamilton cycles","volume":"114","author":"Dejter","year":"1993","journal-title":"Discrete Math."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB11","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/0012-365X(88)90194-X","article-title":"Two Hamilton cycles in bipartite reflective Kneser graphs","volume":"72","author":"Dejter","year":"1988","journal-title":"Discrete Math."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB12","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/0095-8956(73)90010-5","article-title":"Distance preserving subgraphs of hypercubes","volume":"14","author":"Djokovi\u010d","year":"1973","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB13","article-title":"Matchings and Hamiltonian cycles in some families of symmetric graphs","author":"Duffus","year":"1986","journal-title":"Emory University Technical Report"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB14","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1016\/0097-3165(94)90030-2","article-title":"An explicit 1-factorization in the middle of the Boolean lattice","volume":"65","author":"Duffus","year":"1994","journal-title":"J. Combin. Theory Series Ser. A"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB15","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/BF00419036","article-title":"Enumeration of order-preserving maps","volume":"9","author":"Duffus","year":"1992","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB16","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1137\/0403017","article-title":"Maximal chains and antichains in Boolean lattices","volume":"3","author":"Duffus","year":"1990","journal-title":"SIAM J. Discrete Math."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB17","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/BF00337620","article-title":"Lexicographic matchings cannot form Hamiltonian cycles","volume":"5","author":"Duffus","year":"1988","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB18","first-page":"788","article-title":"Concerning a certain set of arrangements","volume":"1","author":"Dushnik","year":"1950"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB19","doi-asserted-by":"crossref","first-page":"600","DOI":"10.2307\/2371374","article-title":"Partially ordered sets","volume":"63","author":"Dushnik","year":"1941","journal-title":"Amer. J. Math."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB20","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/BF01108588","article-title":"The number of order preserving maps between fences and crowns","volume":"12","author":"Farley","year":"1995","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB21","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/BF01462226","article-title":"The order dimension of two levels of the Boolean lattice","volume":"11","author":"F\u00fcredi","year":"1994","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB22","series-title":"Sets, Graphs and Numbers","first-page":"297","article-title":"Interval orders and shift graphs","volume":"vol. 60","author":"F\u00fcredi","year":"1991"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB23","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/BF00403406","article-title":"On the dimensions of ordered sets of bounded degree","volume":"3","author":"F\u00fcredi","year":"1986","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB24","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF00341640","article-title":"The jump number of suborders of the power set order","volume":"6","author":"F\u00fcredi","year":"1989","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB25","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/0012-365X(94)90231-3","article-title":"Level sets in finite distributive lattices of breadth 3","volume":"132","author":"Gierz","year":"1994","journal-title":"Discrete Math."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB26","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/0012-365X(91)90007-O","article-title":"The bandwidth problem for distributive lattices of breadth 3","volume":"88","author":"Gierz","year":"1991","journal-title":"Discrete Math."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB27","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/0898-1221(88)90213-1","article-title":"A survey of the theory of hypercube graphs","volume":"15","author":"Harary","year":"1988","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB28","first-page":"149","article-title":"Ideal theory for lattices","volume":"2","author":"Hashimoto","year":"1952","journal-title":"Math. Japan"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB29","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/S0021-9800(69)80026-8","article-title":"Lattices with sublattices of a given order","volume":"7","author":"Havas","year":"1969","journal-title":"J. Combin. Theory"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB30","series-title":"Graphs and other Combinatorial Topics","first-page":"101","article-title":"Semipaths in directed cubes","author":"Havel","year":"1983"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB31","doi-asserted-by":"crossref","first-page":"338","DOI":"10.21136\/CMJ.1972.101102","article-title":"B-valuations of graphs","volume":"22","author":"Havel","year":"1972","journal-title":"Czech. Math. J."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB32","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1007\/BF01462227","article-title":"The dimension of interior levels of the Boolean lattice","volume":"11","author":"Hurlbert","year":"1994","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB33","first-page":"219","article-title":"On the order dimension of 1-sets versus k-sets","volume":"73","author":"Kierstead","year":"1996","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB34","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/BF00337621","article-title":"Explicit matchings in the middle levels of the Boolean lattice","volume":"5","author":"Kierstead","year":"1988","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB35","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1090\/S0002-9947-1975-0369090-9","article-title":"Asymptotic enumeration of partial orders on a finite set","volume":"205","author":"Kleitman","year":"1975","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB36","first-page":"5","article-title":"On the number of monotone Boolean functions","volume":"38","author":"Korshunov","year":"1981","journal-title":"Probl. Kibern."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB37","series-title":"Proc. 1st Conf. on Hypercube Multiprocessors","first-page":"148","article-title":"Hypercube embedding is NP-complete","author":"Krumme","year":"1986"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB38","unstructured":"L. Lippert, Automorphismen Boole'scher Schichtenkuchen, Masters Thesis, University of Bern, in preparation."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB39","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/0012-365X(94)00286-R","article-title":"Automorphisms, isotone self-maps and cycle-free orders","volume":"144","author":"Liu","year":"1995","journal-title":"Discrete Math."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB40","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/BF01111294","article-title":"Automorphisms and isotone self-maps of ordered sets with top and bottom","volume":"10","author":"Liu","year":"1993","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB41","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/0012-365X(94)90382-4","article-title":"Partitions of large Boolean lattices","volume":"131","author":"Lonc","year":"1994","journal-title":"Discrete Math."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB42","doi-asserted-by":"crossref","unstructured":"J. Mitas, K. Reuter, Cover-preserving embeddings of bipartite orders into Boolean lattices, Theoret. Comput. Sci., to appear.","DOI":"10.1016\/S0304-3975(96)00207-1"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB43","series-title":"Subgraphs of hypercubes and subdiagrams of Boolean lattices","author":"Mitas","year":"1995"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB44","article-title":"Maximale Unterverb\u00e4nde Boole'scher Schichtenkuchen","author":"N\u00fcssli","year":"1996"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB45","series-title":"Extremal problems for Finite Sets","first-page":"413","article-title":"Does almost every isotone self-map have a fixed point?","volume":"vol. 3","author":"Rival","year":"1991"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB46","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1007\/BF01896428","article-title":"Minimal scrambling sets of simple orders","volume":"22","author":"Spencer","year":"1971","journal-title":"Acta Math. Acad. Sci. Hung."},{"key":"10.1016\/S0304-3975(98)00274-6_BIB47","first-page":"179","article-title":"Some combinatorial problems for permutations","volume":"19","author":"Trotter","year":"1978"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB48","series-title":"Combinatorics and Partially Ordered Sets: Dimension Theory","author":"Trotter","year":"1992"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB49","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/BF00383945","article-title":"Cover-preserving order embeddings into Boolean lattices","volume":"9","author":"Wild","year":"1992","journal-title":"Order"},{"key":"10.1016\/S0304-3975(98)00274-6_BIB50","series-title":"Finite and Infinite Combinatorics in Sets and Logic","first-page":"421","article-title":"Isotone maps: Enumeration and structure","volume":"vol. 411","author":"Zaguia","year":"1993"}],"container-title":["Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0304397598002746?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0304397598002746?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,5,13]],"date-time":"2021-05-13T18:08:29Z","timestamp":1620929309000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0304397598002746"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,4]]},"references-count":51,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1999,4]]}},"alternative-id":["S0304397598002746"],"URL":"https:\/\/doi.org\/10.1016\/s0304-3975(98)00274-6","relation":{},"ISSN":["0304-3975"],"issn-type":[{"value":"0304-3975","type":"print"}],"subject":[],"published":{"date-parts":[[1999,4]]}}}