{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T23:01:36Z","timestamp":1776812496856,"version":"3.51.2"},"reference-count":21,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2003,9,1]],"date-time":"2003-09-01T00:00:00Z","timestamp":1062374400000},"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":3607,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Combinatorial Theory, Series B"],"published-print":{"date-parts":[[2003,9]]},"DOI":"10.1016\/s0095-8956(03)00040-6","type":"journal-article","created":{"date-parts":[[2003,4,30]],"date-time":"2003-04-30T23:27:29Z","timestamp":1051745249000},"page":"1-16","source":"Crossref","is-referenced-by-count":30,"title":["Triangle-free Hamiltonian Kneser graphs"],"prefix":"10.1016","volume":"89","author":[{"given":"Ya-Chen","family":"Chen","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0095-8956(03)00040-6_BIB1","first-page":"91","article-title":"On the factorization of the complete uniform hypergraph","volume":"10","author":"Baranyai","year":"1975","journal-title":"Colloq. Math. Soc. Janos Bolyai"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB2","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/0095-8956(87)90044-X","article-title":"Hamiltonian uniform subset graphs","volume":"42","author":"Chen","year":"1987","journal-title":"J. Combin. Theory Ser. B"},{"issue":"1","key":"10.1016\/S0095-8956(03)00040-6_BIB3","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1006\/jctb.2000.1969","article-title":"Kneser graphs are Hamiltonian for n\u2a7e 3k","volume":"80","author":"Chen","year":"2000","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB4","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1006\/jcta.1996.0089","article-title":"Binomial and Q-binomial coefficient inequalities related to the hamiltonicity of the Kneser graphs and their q-analogues","volume":"76","author":"Clark","year":"1996","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB5","unstructured":"I.J. Dejter, Hamilton cycles and quotients of bipartite graphs, Graph Theory with Applications to Algorithms and Computer Science, Wiley\u2013Interscience, New York, 1985, pp. 189\u2013199."},{"key":"10.1016\/S0095-8956(03)00040-6_BIB6","series-title":"Graphs and Other Combinatorial Topics","first-page":"101","article-title":"Semipaths in directed cubes","author":"H\u00e1vel","year":"1982"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB7","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1017\/S1446788700011563","article-title":"Hamiltonian cycles in certain graphs","volume":"26","author":"Heinrich","year":"1978","journal-title":"J. Austral. Math. Soc., Ser. A"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB8","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/0012-365X(94)90115-5","article-title":"The antipodal layers problem","volume":"128","author":"Hurlbert","year":"1994","journal-title":"Discrete Math."},{"key":"10.1016\/S0095-8956(03)00040-6_BIB9","unstructured":"G. Katona, A theorem of finite sets, Theory of Graphs, Proc. Colloq., Tihany, 1966, Academic Press, New York, 1968, pp. 187\u2013207."},{"key":"10.1016\/S0095-8956(03)00040-6_BIB10","unstructured":"D. Kelly, Problem 2.5, in: I. Rival (Ed.), Graphs and Order: the Role of Graphs in the Theory of Ordered Sets and its Applications, Reidel, Dordrecht, 1985."},{"key":"10.1016\/S0095-8956(03)00040-6_BIB11","doi-asserted-by":"crossref","unstructured":"J.B. Kruskal, The number of simplices in a complex, Mathematical Optimization Techniques, University of California Press, Berkeley, CA, l963, pp. 251\u2013278.","DOI":"10.1525\/9780520319875-014"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB12","doi-asserted-by":"crossref","unstructured":"E.K. Lloyd, G.H.J. Meredith, The Hamiltonian graphs O4 to O7, Combinatorics, Proc. Conf. Combinatorial, Math., Math. Inst., Oxford, 1972, pp. 229\u2013236.","DOI":"10.1016\/0095-8956(72)90003-2"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB13","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0095-8956(73)90016-6","article-title":"The footballers of Croam","volume":"15","author":"Lloyd","year":"1973","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB14","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/0095-8956(76)90066-6","article-title":"The rugby footballers of croam","volume":"20","author":"Mather","year":"1976","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB15","first-page":"737","article-title":"On t-designs","volume":"12","author":"Ray-Chaudhuri","year":"1975","journal-title":"Osaka J. Math."},{"key":"10.1016\/S0095-8956(03)00040-6_BIB16","first-page":"161","article-title":"A new Hamilton path heuristic with applications to the middle two levels problem","volume":"140","author":"Savage","year":"1999","journal-title":"Congr. Numer."},{"key":"10.1016\/S0095-8956(03)00040-6_BIB17","unstructured":"C.D. Savage, I. Shields, A Note on Hamilton Cycles in Kneser Graphs, Bulletin of the ICA, to appear."},{"key":"10.1016\/S0095-8956(03)00040-6_BIB18","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1016\/0097-3165(95)90091-8","article-title":"Monotone gray codes and the middle levels problem","volume":"70","author":"Savage","year":"1995","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0095-8956(03)00040-6_BIB19","first-page":"309","article-title":"On uniform subset graphs","volume":"37","author":"Simpson","year":"1994","journal-title":"Ars Combin."},{"key":"10.1016\/S0095-8956(03)00040-6_NEWBIB20","unstructured":"Y.-C. Chen, Extremal Problems in Graph Theory, Ph.D. Thesis, University of Illinois at Urbana, 2000."},{"issue":"1","key":"10.1016\/S0095-8956(03)00040-6_NEWBIB21","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/s004930200007","article-title":"Hamiltonian Kneser Graphs","volume":"22","author":"Chen","year":"2002","journal-title":"Combinatorica"}],"container-title":["Journal of Combinatorial Theory, Series B"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0095895603000406?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0095895603000406?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,6,6]],"date-time":"2021-06-06T23:06:01Z","timestamp":1623020761000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0095895603000406"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,9]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,9]]}},"alternative-id":["S0095895603000406"],"URL":"https:\/\/doi.org\/10.1016\/s0095-8956(03)00040-6","relation":{},"ISSN":["0095-8956"],"issn-type":[{"value":"0095-8956","type":"print"}],"subject":[],"published":{"date-parts":[[2003,9]]}}}