11 papers · 1 filter
Four-coloring Eulerian triangulations of the torus
Marcin Brianski, Daniel Kral, Ander Lamaison +1
Hutchinson, Richter and Seymour [J. Combin. Theory Ser. B 84 (2002), 225-239] showed that every Eulerian triangulation of an orientable surface that has a sufficiently high represe…
The uniform Turán density of large stars
Ander Lamaison, Zhuo Wu
We asymptotically resolve the the uniform Turán density problem for the large stars. In particular, we show that the uniform Turán density of the -star is $\frac{k^2-5k+7}…
Quasirandom Latin squares
Jacob W. Cooper, Daniel Kral, Ander Lamaison +1
We prove a conjecture by Garbe et al. [arXiv:2010.07854] by showing that a Latin square is quasirandom if and only if the density of every 2x3 pattern is 1/720+o(1). This result is…
Ramsey upper density of infinite graph factors
József Balogh, Ander Lamaison
The study of upper density problems on Ramsey theory was initiated by Erdős and Galvin in 1993. In this paper we are concerned with the following problem: given a fixed finite grap…
On a colored Turán problem of Diwan and Mubayi
Ander Lamaison, Alp Müyesser, Michael Tait
Suppose that (red) and (blue) are two graphs on the same vertex set of size , and is some graph with a red-blue coloring of its edges. How large can and be i…
Coloring graphs by translates in the circle
Pablo Candela, Carlos Catala, Robert Hancock +4
The fractional and circular chromatic numbers are the two most studied non-integral refinements of the chromatic number of a graph. Starting from the definition of a coloring base…