Zitieren

[1] N. Alon, A. Krech, and T. Szabó, Turán’s theorem in the hypercube, SIAM Journal on Discrete Mathematics, 21(1):66–72, 2007.10.1137/060649422 Search in Google Scholar

[2] B. Bukh, Set families with a forbidden subposet, The Electronic Journal of Combinatorics, 16(1):142, 2009.10.37236/231 Search in Google Scholar

[3] F. R. Chung, Subgraphs of a hypercube containing no small even cycles, Journal of Graph Theory, 16(3):273–286, 1992.10.1002/jgt.3190160311 Search in Google Scholar

[4] F. R. Chung, Z. Füredi, R. L. Graham, and P. Seymour, On induced subgraphs of the cube, Journal of Combinatorial Theory, Series A, 49(1):180–187, 1988.10.1016/0097-3165(88)90034-9 Search in Google Scholar

[5] D. Conlon, An extremal theorem in the hypercube, The Electronic Journal of Combinatorics, 17(1):R111, 2010.10.37236/383 Search in Google Scholar

[6] P. Erdős, On some problems in graph theory, combinatorial analysis and combinatorial number theory, Graph Theory and Combinatorics (Cambridge, 1983), Academic Press, London, pages 1–17, 1984. Search in Google Scholar

[7] Z. Füredi and L. Özkahya, On 14-cycle-free subgraphs of the hypercube, Combinatorics, Probability & Computing, 18(5):725, 2009.10.1017/S0963548309009985 Search in Google Scholar

[8] Z. Füredi and L.Özkahya, On even-cycle-free subgraphs of the hypercube, Journal of Combinatorial Theory Series A, 118(6):1816–1819, 2011.10.1016/j.jcta.2011.02.009 Search in Google Scholar

[9] Z. Füredi and M. Simonovits, The history of degenerate (bipartite) extremal graph problems. In Erdős Centennial, pages 169–264. Springer, 2013.10.1007/978-3-642-39286-3_7 Search in Google Scholar

[10] J. R. Griggs and W.-T. Li. Progress on poset-free families of subsets. in: Recent Trends in Combinatorics, pages 317–338, 2016.10.1007/978-3-319-24298-9_14 Search in Google Scholar

[11] J. R. Johnson and J. Talbot. Vertex Turán problems in the hypercube. Journal of Combinatorial Theory, Series A, 117(4):454–465, 2010.10.1016/j.jcta.2009.07.004 Search in Google Scholar

[12] K. A. Johnson and R. Entringer, Largest induced subgraphs of the n-cube that contain no 4-cycles, Journal of Combinatorial Theory, Series B, 46(3):346–355, 1989.10.1016/0095-8956(89)90054-3 Search in Google Scholar

[13] G. O. H. Katona, Families of subsets having no subset containing another one with small difference, Nieuw Arch. Wiskunde, 20(3):54–67, 1972. Search in Google Scholar

[14] E. Kostochka, Piercing the edges of the n-dimensional unit cube, Diskret. Analiz Vyp, 28(223):55–64, 1976. Search in Google Scholar

[15] P. Turán, On an external problem in graph theory, Mat. Fiz. Lapok, 48:436–452, 1941. Search in Google Scholar

eISSN:
2066-7752
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
2 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines