Related papers: Bounds on some edge Folkman numbers

Lower bounds for some explicit decision problems over the complex numbers are given.

For complete graphs and n-cubes bounds are found for the possible number of colours in an interval edge colourings.

Given an iterated function system of affine dilations with fixed points the vertices of a regular polygon, we characterize which points in the limit set lie on the boundary of its convex hull.

We prove that Burgess's bound gives an estimate not just for a single character sum, but for a mean value of many such sums.

We study the natural boundary of a random Dirichlet series associated with Goldbach numbers.

We present a bound on the size of linear codes. This bound is independent of other known bounds, e.g. the Griesmer bound.

In this paper, we give the necessary and sufficient conditions for the boundedness of fractional integral operators on the modulation spaces.

We give explicit bounds for the tail probabilities for sums of independent geometric or exponential variables, possibly with different parameters.

We investigate the possibility of proving upper bounds on Hadwiger's number of a graph with partial information, mirroring several known upper bounds for the chromatic number. For each such bound we determine whether the corresponding bound…

Some boundedness properties of function spaces (considered as topological groups) are studied.

We give bounds on the number of non-simple closed curves on a negatively curved surface, given upper bounds on both length and self-intersection number. In particular, it was previously known that the number of all closed curves of length…

In this paper we survey many of the known results about Morse boundaries and stability.

We determine the arithmetical rank of every edge ideal of a Ferrers graph.

We use GL(2) delta method to establish the Burgess bound.

We obtain new upper and lower bounds on the number of unit perimeter triangles spanned by points in the plane. We also establish improved bounds in the special case where the point set is a section of the integer grid.

We obtain some fine gradient estimates near the boundary for solutions to fractional elliptic problems subject to exterior Dirichlet boundary conditions. Our results provide, in particular, the sign of the normal derivative of such…

Recently, Freedman [arXiv:2301.00295] introduced the idea of packing a maximal number of links into a bounded region subject to geometric constraints, and produced upper bounds on the packing number in some cases, while commenting that…

We introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators. Two examples studied are a two-dimensional second-order topological insulator…

We derive a new bound for some bilinear sums over points of an elliptic curve over a finite field. We use this bound to improve a series of previous results on various exponential sums and some arithmetic problems involving points on…

We establish upper and lower bounds with matching leading terms for tails of weighted sums of two-sided exponential random variables. This extends Janson's recent results for one-sided exponentials.