Rational exponents for hypergraph Turan problems
نویسندگان
چکیده
منابع مشابه
Turan Related Problems for Hypergraphs
For an /-uniform hypergraph 3and an integer n, the Turan number ex(n, F) for F on n vertices is denned to be the maximum size \Q\ of a hypergraph Q C [n] not containing a copy of F C2\ as a subhypergraph. For 1 = 1 and f = Kk , the complete graph on k vertices, these numbers were determined by P. Turan. However, for I > 2, and nearly any hypergraph F, the Turan problem of determining the number...
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The terminology and notation used in this paper are introduced in the following papers: [12], [15], [4], [10], [1], [2], [3], [9], [7], [8], [14], [11], [13], [6], and [5]. For simplicity we follow the rules: a, b, c will be real numbers, m, n will be natural numbers, k, l, i will be integers, p, q will be rational numbers, and s1, s2 will be sequences of real numbers. The following proposition...
متن کامل1231-1235 Turan LAJP 3348:Turan
Ismayil YILMAZ 1, Ismail DEMIRYILMAZ 2, Mehmet I. TURAN 3*, Bahadır SULEYMAN 4, Isil S. TURAN 5, Durdu ALTUNER 4, Hamit H. ALP 6 & Halis SULEYMAN 4 1 Erzincan University, Faculty of Medicine, Department of Surgery, Erzincan, Turkey 2 Ibni Sina Hospital, Department of General Surgery, Kayseri, Turkey 3 Diyarbakir Research and Educational Hospital, Department of Pediatric Neurology, Diyarbakir, T...
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One of the earliest results in Combinatorics is Mantel’s theorem from 1907 that the largest triangle-free graph on a given vertex set is complete bipartite. However, a seemingly similar question posed by Turán in 1941 is still open: what is the largest 3-uniform hypergraph on a given vertex set with no tetrahedron? This question can be considered a test case for the general hypergraph Turán pro...
متن کاملExact bounds for some hypergraph saturation problems
Let Wn(p, q) denote the minimum number of edges in an n× n bipartite graph G on vertex sets X,Y that satisfies the following condition; one can add the edges between X and Y that do not belong to G one after the other so that whenever a new edge is added, a new copy of Kp,q is created. The problem of bounding Wn(p, q), and its natural hypergraph generalization, was introduced by Balogh, Bollobá...
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ژورنال
عنوان ژورنال: Journal of Combinatorics
سال: 2019
ISSN: 2156-3527,2150-959X
DOI: 10.4310/joc.2019.v10.n1.a3