… uniform hypergraphs whose uniform Turán density is known are those with zero uniform Turán
density … 77–97] and a specific family with uniform Turán density equal to 1/27. We develop …

… Turán number of a graph is asymptotically, up to |$o(n^{2})$| terms. Because of this, we study
the Turán density of an |$r$|-uniform … The Turán densities of (⁠|$2$|-uniform) graphs were …

… 2) to show that these correctly determine the Turán density of sufficiently long “cycle”s. This
is … the Turán density of 4-uniform tight cycles, defined as follows. The tight r-uniform cycle of …

… uniform Turán density of cycles. In particular, we will verify that the uniform Turán density of
the tight 3-uniform cycle of … , and the uniform Turán density of the tight 3-uniform cycle of other …

… Denote by \({\mathcal {C}}^-_{\ell }\) the 3-uniform hypergraph obtained by removing one …
on the Turán problem of pseudo-cycles, which are, roughly speaking, tight cycles with repeated …

… We show that it also holds for cycles. … The authors strongly believe that the Uniform Star
Decomposition Conjecture is true for complete graphs and complete bipartite graphs. Our …

… Turán density of a 4-cycle free subcube to 0.60318 and Chung’s result on forbidding 6-cycles
to … As an example we will briefly describe one way it can be used in the case of 3-uniform …

… In this section we study the inhomogeneous density Turán problem for 3-uniform linear
hypergraphs E with one hypercycle c3, where a hyperedge density γe is given for each …

… uniform hypergraphs to non-uniform hypergraphs. We characterize all the Turán densities of
{1… First we show that C4 is the only possible chordless cycle in G. Suppose not; let Cg (g = 4) …

… longer cycles, we prove that for each odd \(k\geq 7\), the balanced blow-up of \(C_k\) (uniquely)
maximizes the number of \(k\)-cycles … of \(k\)-cycles among graphs with a given number of …