Author

Yury Person

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Preprint Sep 2026

Exact-palette rainbow embeddings in uniformly coloured pseudorandom graphs

We study rainbow spanning configurations in bijumbled graphs whose edges are coloured independently and uniformly from a prescribed palette. For $n$-vertex $(p,\beta)$-bijumbled graphs with minimum degree at least a fixed positive multiple of $pn$, we obtain rainbow perfect matchings and Hamilton cycles with a sufficie...

Elad Aigner-Horev, Dan Hefetz, Yury Person et al. · 1 citation

Preprint Sep 2026

Another proof that the two color bipartite Ramsey number is $O(2^t)$

For positive integers $t$ and $q$ let $b_q(t)$ be the smallest integer $n$ so that any coloring of the edges of the complete bipartite graph $K_{n,n}$ with $q$ colors yields a monochromatic copy of $K_{t,t}$. We give an independent proof that $b_2(t)\le 128\cdot 2^t$ for every positive integer $t$. More generally, for...

Yury Person · 0 citations